Search is not available for this dataset
id int64 0 420 | question stringlengths 309 2.19k | results dict |
|---|---|---|
0 | A wine company sells two products. Its regular wine and a premium aged wine. The company makes x1 bottles of the regular wine per day and x2 bottled of the premium wine per day (x1 and x2 are unknown values greater than or equal to 0). The profit per bottle of regular wine is $20 ad the profit per bottle of the premium... | {
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1 | A woman has $5000 to invest in her sisters' companies. She can invest in her younger sister's company and her elder sister's company. Each dollar invested in her younger sister's company yields a profit of $0.05 while each dollar invested in her elder sister's company yields a profit of $0.08. She wants to invest a min... | {
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... |
2 | A furniture factory makes two products: bedside tables and bookcases. Both products have to go through two processes: crafting and polishing. For each bedside table, the workers spend 2.5 hours crafting and 1.5 hours polishing. For each bookcase, the workers spend 5 hours crafting and 3 hours polishing. On any day, the... | {
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... |
3 | A factory makes soccer balls and basket balls. Soccer balls take 5 minutes on the manufacturing machine and 3 minutes to fill with air. Basket balls take 7 minutes on the manufacturing machine and 4 minutes to fill with air. The factory can run the manufacturing machine for at most 700 minutes and they have 500 minutes... | {
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... |
4 | Emma is required to take two medicines AX7 and BY5 every day. She needs to take at least 6 grams of AX7 and 8 grams of BY5 every day. These medicines are available in two pills named Klun and Tao. One pill of Klun contains 1.5 grams of AX7 while one pill of Tao contains 1.3 grams of AX7. On the other hand, one pill of ... | {
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... |
5 | A cosmetics company makes low, medium, and high quality face wash. A low quality face wash contains 1 unit of rare ingredients and 4 units of water. A medium quality face wash contains 3 units of rare ingredients and 2 units of water. A high quality face wash contains 4 units of rare ingredients and 1 unit of water. Th... | {
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6 | A gardener has 50 acres available for growing lavender and tulips. The gardener must grow at least 5 acres of lavender and at least 8 acres of tulips. Even though lavenders sell better, the gardener can grow at most twice the amount of lavender as tulips. If the profit per acre of lavender is $250 and the profit per ac... | {
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7 | A factory packages glass jars and plates. Glass jars take 15 minutes of worker time and 3 units of cardboard. Plates take 12 minutes of worker time and 4 units of cardboard. The factory has 620 minutes of worker time available and 120 units of cardboard available. If the profit per glass jar packaged is $2 and the prof... | {
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8 | A fruit store wants to liquidate its stock of 30 lemons, 40 mangos, and 50 pears. Given past experience, the store knows that they can propose a mango-lovers package with 4 lemons and 8 mangos and that this package will bring a profit of 5 euros. Similarly, they can prepare a regular package with 3 lemons, 5 mangos, an... | {
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9 | A bakery only has 1000 units of blueberries to make pies and small tarts. Each pie needs 5 units of blueberries and each tart needs 3 units of blueberries. Since tarts are easier to eat quickly, the bakery must make at least three times as many tarts as pies. However, the bakery must make at least 30 pies. If each pie ... | {
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10 | Tom Designs manufactures three coats: long, short, and mini. These coats are produced in two different factories: a north one and a south one. Running the north factory for an hour costs $200 and produces 20 long coats, 15 short coats, and 10 mini coats. Running the south factory for an hour costs $400 and yields 30 lo... | {
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11 | Bob Fashion produces two types of lipsticks: cream lipsticks and matte lipsticks. The profit per cream lipstick is $70 and the profit per matte lipstick is $100. It takes 3.5 hours to produce the raw materials for one cream lipstick, 5 hours to mix and 2 hours in packing. It takes 5 hours to produce the raw materials f... | {
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12 | A food manufacturer wishes to mix pork and chicken to create sausages. The mixture needs to contain at least 10 units of protein and 15 units of fat. Pork costs $40 per kg and chicken costs $50 per kg. Per kilogram, pork contains 2 units of protein and 4 units of fat. Per kilogram, chicken contains 3 units of protein a... | {
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13 | A soup store sell two soups: a crab soup and a lobster soup. The soups are made using water, crab meat, and lobster meat. A serving of crab soup requires 7 units of water and 8 units of crab meat. A serving of lobster soup requires 10 units of water and 5 units of lobster meat. There is 80 units of water available, 65 ... | {
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14 | A landscaper provides 3 landscaping layouts using different amounts of rock, mulch, and grass. He has 1200 units of rock, 700 units of mulch, and 2000 units of grass. A type A layout has 10 units of rock, 7 units of mulch, and 15 units of grass. A type B layout has 5 units of rock, 12 units of mulch, and 10 units of gr... | {
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... |
15 | A sign company makes signs by hand. They make LED signs and neon signs. The LED signs are made by team A and they can make at most 3 a day. The neon signs are made by team B and they can make at most 4 a day. All signs have to be quality checked by a senior QC inspector and he can check at most 7 signs total a day. If ... | {
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... |
16 | A jewelry company produces and sells bracelets and rings. The bracelets are hand-crafted by a team who can make at most 4 bracelets per day. The rings are made by another team who can make at most 7 rings per day. All rings have to be approved by a master jeweler and he can check at most 30 jewels of either type per da... | {
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... |
17 | A store sells two types of donuts, regular and jelly-filled. The store pays a baker $4 and $6 for each unit of a regular and jelly-filled donut respectively. The store makes a profit of $2 per regular donut and a profit of $3 per jelly-filled donut. In a month, the store owner expects to sell at most 1000 donuts and w... | {
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... |
18 | A cosmetics company makes high-end skincare products whose main customers are wealthy women, both young girls and middle-aged women. In order to promote their product line, they decided to invest in short commercial spots on two types of programs: social media and television. While each social media commercial is seen ... | {
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... |
19 | Two paints of different quality, cheap and expensive, have quality ratings of 50 and 90, respectively. The cheap paint costs $0.30 per liter while the expensive paint costs $1.50 per liter. In order to paint his fence, John wants to use a mix of paint with a quality of at least 80. This ensures that the paint on the fe... | {
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20 | The Curious electronics business wants to determine the level of production of its two hottest digital keyboards: A400 and P500. Making one A400 keyboard requires 5 hours of labour and yields a $35 profit. On the other hand, one P500 keyboard can be produced in 9 hours and offers a greater profit of $80. Given the dema... | {
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21 | In a cold region, a train service offers heated seats and regular seats. The train has 100 seats available. The trains reserves at least 15 seats to be heated. However, at least 3 times as many people prefer regular seats to heated seats. If the profit per heated seat is $20 and the profit per regular seat is $15, how ... | {
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22 | A farm has to transport their chickens. They can either be transported by train or by truck. Each train trip can take 500 chicken while each truck trip can take 300 chicken. The cost per train trip is $100 and the cost per truck trip is $80. The farm has a budget of $2000 and the number of train trips cannot exceed the... | {
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... |
23 | A gardener has a field of 100 square feet in which he plants sunflowers and roses. The seed for sunflowers costs $67 per square foot. The seed for roses costs $52 per square foot. The gardener has available a budget of $6500 to spend on seeds. The profit per square foot of sunflowers is $450 and the profit per square f... | {
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... |
24 | Amanda has 4000 acres of land to grow apple and peach trees. Apple trees cost $50 for their saplings, and they take 3 hours to maintain per acre. Peach trees cost $80 for their saplings and take 5 hours to maintain per acre. Amanda has a budget of $30000 for saplings and has 600 available hours for maintenance. If the ... | {
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... |
25 | There is only 3000 grams of black tea available to make earl grey and English breakfast teabags. Each earl grey teabag requires 25 grams of black tea while each English breakfast teabag requires 20 grams of black tea. Due to demand, at least 4 times the amount of earl grey teabags are needed than English breakfast. How... | {
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26 | A milk tea shop has 50000 ml of milk to make two milk teas: black milk tea and green milk tea. A bottle of black milk tea contains 300 ml of milk while a bottle of green milk tea has 200 ml of milk. The shop knows that they need to make at least three times the number of bottles of black milk tea than green milk tea. T... | {
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27 | A battery store sells AA and D batteries. The store has a budget of $1000 and each AA battery costs $1 and each D battery costs $3. The monthly demand for both batteries will not exceed 1000. If the profit per AA battery is $0.50 and the profit per D battery is $1, how many of each should the store stock in order to ma... | {
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28 | A vendor sells coffee and hot chocolate during ice hockey games. To stay in business, he must sell at least 40 coffees and 20 hot chocolates, but can not make more than 60 coffees or 35 hot chocolates. The vendor also can't make more than 75 items total. The profit on a coffee is $0.22, and the profit on a hot chocolat... | {
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... |
29 | William is a potato farmer and he has to send his product to the city. He can transport his potato packages by regular truck which can take 70 packages per trip or by refrigerated truck which can take 100 packages per trip. The cost per regular truck trip is $50 and the cost per refrigerated truck trip is $70. He wants... | {
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... |
30 | A food truck makes apple and orange smoothies. It takes 6 minutes on the cutting machine and 3 minutes on the blending machine to make an apple smoothie. It takes 5 minutes on the cutting machine and 2 minutes on the blending machine to make an orange smoothie. The profit per apple smoothie is $3.5 and the profit per o... | {
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... |
31 | A car company makes two types of cars, a race car and a regular car. Two different teams produce each of these cars. The race car team can make at most 3 race cars per day while the regular car team can make at most 5 regular cars per day. Both cars need to go through a safety check, and in a day at most 6 cars of eith... | {
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... |
32 | A pet store feeds their dogs by making a mixture from two bags. Bag A contains 3 units of protein and 4 units of calcium per bag. Bag B contains 4 units of protein and 2 units of calcium per bag. The mixture must contain at least 30 units of protein and 35 units of calcium. Bag A costs $3.50 per bag and Bag B costs $2.... | {
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... |
33 | A flight has 150 tickets. A profit of $150 is made on each first-class ticket and a profit of $350 is made on each economy-class ticket. The flight reserves at least 20 tickets to be first-class but because the journey is short, at least 3 times as many people prefer to save money and travel by economy-class than first... | {
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... |
34 | A food truck sells tacos and burritos. To stay in business, they must sell at least 50 tacos and at least 30 burritos. However, they only have enough supplies to make at most 80 tacos and at most 50 burritos. Given their tight schedule, they can also cook at most 100 items total. The profit per taco is $3 and the profi... | {
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... |
35 | An electronics factory manufactures two calculators: solar calculators and finance calculators, using silicon, plastic, and steel. To make a solar calculator, 5 grams of silicon, 4 grams of plastic, and 2 grams of steel are needed. The profit per solar calculator is $12. To make a finance calculator, 3 grams of silicon... | {
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... |
36 | A framing company frames printed art and paintings. Each printed art takes 10 minutes for printing and 5 minutes for framing. Each painting takes 0 minutes for printing and 15 minutes for framing. The company has available 150 minutes for printing and 400 minutes for framing. If the profit per printed art sold is $5 an... | {
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... |
37 | A furniture company sells two types of tables – a dinning table and a coffee table. They cost $250 and $150 to make respectively. The company estimates that the total monthly demand of these two types of tables combined will be at most 200 units. The monthly manufacturing budget on tables is $20000. Determine the numbe... | {
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38 | A tropical farmer has 100 acres of land to grow guavas and mangos. He prefers to grow more mangos than guavas, but because they require so much more work, he can grow at most 2 times the amount of mangos as guavas. In addition he must grow at least 20 acres of guavas and at least 40 acres of mangos. If the profit per a... | {
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... |
39 | CE Chemicals produces two types of products, adhesives and plasticizers. To produce each type of product, we need to use both an automatic device and a human-operated device. On a given day, each processing device is available for at most 450 minutes. To extract a package of adhesives, it takes 6 minutes of processing ... | {
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... |
40 | Eric is a world-famous wood artist. He manufactures two types of decors made of oak. The first product, a display shelf, requires 25 minutes each for carving and 20 minutes each for polishing. The second decor is a plant stand and it requires 20 minutes each for carving and 10 minutes each for polishing. There are 350 ... | {
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... |
41 | A summer painting company employs students earning $200 a week and full-time employees earning $500 a week. The company needs at least 100 painters of whom at 30 must be full-time employees. In addition, to make sure there is enough experience, the number of full-time employees should be at least half the number of stu... | {
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... |
42 | A tasty burrito is to be made from units of beans and onions and is to contain a minimum of 110 units of spice and 80 units of flavor. Beans cost $6 per unit and onion cost $8 per unit. One unit of beans contains 10 units of spice and 3 units of flavor. One unit of onions contains 2 units of spice and 6 units of flavor... | {
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... |
43 | Lisa can invest in NFTs and crypto-currency up to $5000. Each dollar invested in NFTs yields $0.30 profit, and each dollar invested in a crypto-currency yields $0.40 profit. A minimum of 25% of all money invested must be in NFTs, and at least $2300 must be in crypto-currency. How can Lisa maximize her profit? | {
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... |
44 | A student group makes chocolate chip and oatmeal cookies. To make a batch of chocolate chip cookies, it take 10 minutes to gather the ingredients, 20 minutes to mix them, and 50 minutes for baking. To make a batch of oatmeal cookies, it takes 8 minutes to gather the ingredients, 15 minutes to mix them, and 30 minutes f... | {
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... |
45 | A meat factory makes burgers and hot-dogs. Each burger requires 3 units of meat and 2 unit of binding agent. Each hot-dog requires 2 units of meat and 1 unit of binding agent. The factory has 2000 units of meat and 1800 units of binding agent available. If the revenue per burger made is $0.30 and the revenue per hot-do... | {
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... |
46 | A tropical farmer has available 200 acres of land to grow pineapples and bananas. He likes bananas, but because they require so much more work, he can grow at most 4 times the amount of bananas as pineapples. In addition he must grow at least 40 acres of pineapples and at least 60 acres of bananas. If the profit per ac... | {
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... |
47 | A telecommunications company installs internet service and TV service in buildings. Each internet service takes 60 minutes of wiring time and 10 minutes of box installation time. Each TV service takes 50 minutes of wiring time and 20 minutes of box installation time. The company has available 7000 minutes of wiring tim... | {
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... |
48 | A glass company makes sliding doors and windows. They have orders for at least 120 sliding doors and at least 110 windows per day. However, due to supply constraints, the company can make at most 210 sliding doors and at most 170 windows per day. In addition, they have a contract to ship at least 250 products of either... | {
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... |
49 | A hot dog store sells two products: its regular hot-dog, and a premium hot-dog with more toppings. The store makes x1 regular hot-dogs a day at a profit of $3 each and x2 premium hot-dogs a day at a profit of $5 each. (x1 and x2 are unknowns and they both must be greater than or equal to 0). Currently, the demand is li... | {
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... |
50 | A farmer has 200 acres of land to grow oranges and grapefruits. He must grow at least 60 acres of oranges and at least 50 acres of grapefruits. The farmer prefers to grow more grapefruits than oranges but due to a shortage, he can grow at most twice the amount of grapefruits as oranges. If the profit per acre of orange... | {
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... |
51 | A hockey arena can hold at most 300 people and has both heated and regular seats. A profit of $30 is made on each heated seat and a profit of $20 is made on each regular seat. The arena reserves a minimum of 50 seats to be heated seats. However, since it is not too cold, at least 3 times as many people prefer to sit in... | {
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... |
52 | A pizza palace is going to purchase pizza ovens. There are two models available. Model A can make 10 pizzas per cycle, requires 80 grams of fuel per cycle, and costs $10000. Model B can make 8 pizzas per cycle, requires 70 grams of fuel per cycle, and costs $8000. The pizza palace must make at least 100 pizzas per cycl... | {
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... |
53 | A baker melts milk and dark chocolate together to create a new mixture. The mixture must contain at least 120 units of cacao and 80 units of sugar. Each milk chocolate piece contains 3 units of cacao and 2 units of sugar. Each dark chocolate piece contains 4 units of cacao and 1 unit of sugar. If the cost per milk choc... | {
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... |
54 | A maple farm makes maple syrup and maple candy. They can make at most 10 kg of maple syrup and at most 12 kg of maple candy. In addition, they must supply at least 3 kg of maple syrup and 5 kg of maple candy per day. Both require time in a maple boiling station. Each kg of maple syrup and maple candy requires 2 hours a... | {
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... |
55 | East Oak Designs are famous for its high-end furniture. Each sofa produced by East Oak Designs nets the company a profit of $400. Each kitchen cabinet yields a $1200 profit. Every week, 100 gallons of lacquer and 300 lengths of high-quality oak are available. Each sofa requires approximately 3 gallon of lacquer and 10 ... | {
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... |
56 | A patient with weak bones has been told to drink milk and eat cheese in order to meet his calcium and vitamin D requirements. In one serving of milk, there are 10 grams of calcium and 5 grams of Vitamin D. In one serving of cheese, there are 8 grams of calcium and 6 grams of vitamin D. The patient must get at least 100... | {
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... |
57 | Each month, a video-game store owner can spend at most $30000 on consoles and discs. A console costs the store owner $300 and a disc costs $30. Each console is sold for a profit of $200 while each disc is sold for a profit of $30. The store owner estimates that a minimum of 20 but at most 50 consoles are sold each mont... | {
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... |
58 | A candy company wants to make a special mix using sour cherry candies and sour peach candies. Each sour cherry candy has 2 units of citric acid and 3 units of sugar. Each sour peach candy has 1 units of citric acid and 4 units of sugar. The special mix must contain at least 50 units of citric acid and 60 units of suga... | {
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... |
59 | Luke has 200 hectares available to grow carrots and pumpkins. He prefers to plant more carrots than pumpkins, but the soil and weather conditions allow him to grow at most twice the amount of carrots to that of pumpkins. In addition, he must grow at least 25 hectares of carrots and at least 20 hectares of pumpkins to m... | {
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... |
60 | A company makes two types of cars, a SUV and a sedan. The SUV takes 200 minutes on the manufacturing line and 120 minutes of testing. The sedan takes 150 minutes on the manufacturing line and 100 minutes of testing. The company has 20000 minutes available on the manufacturing line and 10000 minutes available for testin... | {
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... |
61 | Organic Farming has 300 acres of land to grow daikons and fennels. Daikons require 0.5 hours of watering and $70 worth of compost per acre. Fennels require 1.5 hours of watering and $50 worth of compost per acre. The farmer has 500 hours available for watering and $7400 available to spend on compost. If the revenue per... | {
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... |
62 | A paint store mixes two brands of paint, Ruby and Sapphire, to create a new mixture of paint. A can of Ruby paint costs $12 and a can of Sapphire paint costs $15. A can of Ruby paint contains 2 units of dye, 4 units of thinner, and 5 units of water. A can of Sapphire paint contains 4 units of dye, 6 units of thinner, a... | {
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... |
63 | Kevin needs vitamins to supplement his diet. He needs to get at least 25 units of vitamin A and 40 units of vitamin B everyday. In order to do so, he can buy capsules named Special Formula and One Daily. Each capsule of Special Formula contains 4 units of vitamin A and 5 units of vitamin B. Each capsule of One Daily co... | {
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... |
64 | My cousin sells two different coffee blends: the Drummondville blend and the Victoriaville blend. Each blend contains both arabica and robusta coffee beans. A bag of the Drummondville blend contains 600 grams of arabica beans and 400 grams of robusta beans, whereas a bag of the Victoriaville blend contains 375 grams of... | {
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... |
65 | A store sells two salad bowls. The individual salad contains 5 units of lettuce, 2 units of tomatoes, and 2 units of sauce. The family-sized salad contains 18 units of lettuce, 6 units of tomatoes, and 5 units of sauce. The store has available 220 units of lettuce, 150 units of tomatoes, and 140 units of sauce. If the ... | {
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... |
66 | A seafood factory packages fish meat and shrimp meat. All packages must pass through a weight checking machine and a packaging inspection machine. In a week, each machine is available for at most 1200 minutes. A package of fish meat requires 3 minutes in the weight checking machine and 15 minutes in the packaging inspe... | {
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... |
67 | X-Luxury Cloth wants to add coats and skirts, both with printed designs, to its collection. Both coats and skirts require designing and printing. Each coat requires 1.5 hours of designing time and 2.5 hours of printing time. Each skirt requires 3 hours of designing time and 3.5 hours of printing time. The designers are... | {
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... |
68 | A fruit farmer has 80 acres to grow peaches and nectarines. Peaches take 3 hours to plant per acre while nectarines take 4.5 hours to plant per acre. Peaches take 2 hours to water per acre while nectarines take 3 hours to water per acre. The farmer has 300 hours available for planting and 250 hours available for wateri... | {
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... |
69 | A young boy is trying to gain weight and put muscle. He can eat both tuna salad sandwiches and chicken salad sandwiches. He wants to get a minimum of 100 units of protein and 150 units of fat per day. A tuna salad sandwich costs $5 and contains 20 units of protein and 25 units of fat. A chicken salad sandwich costs $7 ... | {
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... |
70 | A makeup company hand fills perfume and cologne bottles. Each perfume bottle takes 2 minutes to fill and each cologne bottle takes 2.5 minutes to fill. The company must fill at least 60 perfume bottles and at least 40 cologne bottles. The company has 700 minutes available. If the profit per perfume bottle is $50 and th... | {
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... |
71 | A toy company makes toys and knows that most of their customers are young boys and girls. To reach these groups, the company has decided to purchase commercial spots on cartoons and kids-movies. Each cartoon is seen by 2 millions young boys and 1 million young girls. Each kids-movie is seen by 4 million young boys and ... | {
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... |
72 | You need to buy cabinets to store your seasonings and spices. A small cabinet takes 4 sq ft of space and costs $70. A large cabinet takes 8 sq ft and costs $120. You have 200 sq ft of space available in your kitchen and a budget of $1400. If the small cabinet can hold 30 seasonings and spices and a large cabinet can ho... | {
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... |
73 | A grandmother knits blankets and sweaters for her community. A blanket requires 30 units of yarn and 5 hours of knitting. A sweater requires 20 units of yarn and 4 hours of knitting. The grandmother has 200 units of yarn available and 40 hours of knitting available. If the profit per blanket is $5.50 and the profit per... | {
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... |
74 | A clothing company makes flight jackets and denim jackets in their factory. A different team produces each kind of jacket and each team has a different maximum production rate: 10 flight jackets per day and 25 denim jackets per day respectively. Both teams require the use of a sewing machine and this machine can proces... | {
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... |
75 | A bike factory builds two types of bikes: road bikes and mountain bikes. One road bike requires 3 hours of tooling on the grinder and then 2 hours of tooling on the polisher. One mountain bike requires 5 hours of tooling on the grinder and then 2.5 hours of tooling on the polisher. The factory makes a profit of $70 per... | {
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... |
76 | Thunder Wood is a logging company and it cuts three specific trees: Elm, Oak, and Alder. The company has two operations. The north side operation costs $450 to operate per day and produces 5 elm trees, 5 oak trees, and 4 alder trees daily. The south side operation costs $550 to operate per day and produces 6 elm trees,... | {
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... |
77 | A small pharmacy weighs and packages their medication. Each bottle of pills takes 20 minutes of weighing and 10 minutes of packaging. Each bottle of cream takes 15 minutes of weighing and 15 minutes of packaging. The pharmacy has available 4000 minutes for weighing and 3000 minutes for packaging. If the profit per bott... | {
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... |
78 | A ferry service provides vehicle tickets and passenger tickets. The ferry can sell at most 100 tickets. A profit of $50 is made per vehicle ticket and a profit of $50 is made per passenger ticket. The ferry reserved a minimum of 10 tickets for vehicles. However, because most people don't have cars, at least 5 times as ... | {
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... |
79 | Gabriel is growing pumpkins and carrots on his farm. He has 100 acres available on which he must grow a minimum of 7 acres of pumpkins and a minimum of 12 acres of carrots to meet demands. The profit per pumpkin is $2.5 and the profit per carrot is $3.4. He prefers to grow more carrots than pumpkins but limitations in ... | {
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"Amount invested in healthcare": null,
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... |
80 | An office supply company makes two types of printers: color printers and black and white printers. Different sections of the factory with different teams produce each printer. The color printer team can produce at most 20 color printers per day while the black and white printer team can produce at most 30 black and whi... | {
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... |
81 | An accounting firm has senior accountants earning $3000 per week and junior accountants earning $1000 per week. The contracts with companies to provide accounting services require at least 100 accountants, of whom at least 5 must be senior accountants. To make sure there is enough experience on the accounting team, the... | {
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... |
82 | Ben is growing apples and pears on his orchard. He has 50 acres available on which he must grow a minimum of 5 acres of apples and a minimum of 10 acres of pears to meet demands. The profit per apple is $2 and the profit per pear is $4. He prefers to grow more pears than apples but limitations in his workforce allow hi... | {
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"Acres of Wheat to plant": null,
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... |
83 | A lighting company makes desk-lamps and night-lamps. There is an expected demand of at least 30 desk-lamps and 50 night-lamps each day. However, due to the size of their factory, they can make at most 150 desk-lamps and 180 night-lamps per day. To satisfy a contract, a minimum of 100 lamps must be made each day. If the... | {
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... |
84 | Mr. Roberts want to invest in the telecom and healthcare industries. He has $100000 to invest. He has decided that the amount invested in telecom be at least three times as much as the amount invested in healthcare. But the money invested in telecom must be at most $70000. If investments in telecom earn 3% and investme... | {
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"Amount invested in healthcare": "",
"Amount invested in telecom": "",
"A... |
85 | A farmer has 140 hectares available to grow tomatoes and potatoes. She prefers to plant more tomatoes than potatoes, but the soil and weather conditions allow her to grow at most twice the amount of tomatoes to that of potatoes. In addition, she must grow at least 20 hectares of tomatoes and at least 30 hectares of pot... | {
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"Acres of Pumpkins to grow": null,
"Acres of Soybeans to plant": null,
"Acres of Turnips to grow": null,
"Acres of Wheat to plant": null,
"Acres of cucumbers": null,
"Acres of potatoes": null,
"Amount invested in healthcare": null,
"Amount invested in telecom": null,
... |
86 | A audio company make two types of headphones: wired headphones and wireless headphones. Two different teams make each type of headphones. The wired team can make at most 100 wired headphones per day and the wireless team can make at most 170 wireless headphones per day. Both teams require use of a shared audio testing ... | {
"Acres of Corn to plant": null,
"Acres of Pumpkins to grow": null,
"Acres of Soybeans to plant": null,
"Acres of Turnips to grow": null,
"Acres of Wheat to plant": null,
"Acres of cucumbers": null,
"Acres of potatoes": null,
"Amount invested in healthcare": null,
"Amount invested in telecom": null,
... |
87 | Jacob has $3000 to invest. He has decided to invest in his favorite clothing company and his favorite tech company. He has decided that the money invested in his favorite clothing company must be at least four times as much as the amount invested in his favorite tech company. He has also limited himself to invest at mo... | {
"Acres of Corn to plant": null,
"Acres of Pumpkins to grow": null,
"Acres of Soybeans to plant": null,
"Acres of Turnips to grow": null,
"Acres of Wheat to plant": null,
"Acres of cucumbers": null,
"Acres of potatoes": null,
"Amount invested in healthcare": null,
"Amount invested in telecom": null,
... |
88 | Mrs. Watson wants to invest in the real-estate market and has a total budget of at most $760000. She has two choices which include condos and detached houses. Each dollar invested in condos yields a $0.50 profit and each dollar invested in detached houses yields a $1 profit. A minimum of 20% of all money invested must ... | {
"Acres of Corn to plant": null,
"Acres of Pumpkins to grow": null,
"Acres of Soybeans to plant": null,
"Acres of Turnips to grow": null,
"Acres of Wheat to plant": null,
"Acres of cucumbers": null,
"Acres of potatoes": null,
"Amount invested in healthcare": null,
"Amount invested in telecom": null,
... |
89 | A breakfast joint makes two different sandwiches: a regular and a special. Both need eggs and bacon. Each regular sandwich requires 2 eggs and 3 slices of bacon. Each special sandwich requires 3 eggs and 5 slices of bacon. The joint has a total of 40 eggs and 70 slices of bacon. It makes a profit of $3 per regular sand... | {
"Acres of Corn to plant": null,
"Acres of Pumpkins to grow": null,
"Acres of Soybeans to plant": null,
"Acres of Turnips to grow": null,
"Acres of Wheat to plant": null,
"Acres of cucumbers": null,
"Acres of potatoes": null,
"Amount invested in healthcare": null,
"Amount invested in telecom": null,
... |
90 | A cleaning company located in Edmonton wants to get the best exposure possible for promoting their new dishwashing detergent without exceeding their $900000 advertising budget. To do so, the company decides to spend their money on two forms of advertising: (1) radio ads and (2) social media ads. Each radio ad costs $5,... | {
"Acres of Corn to plant": null,
"Acres of Pumpkins to grow": null,
"Acres of Soybeans to plant": null,
"Acres of Turnips to grow": null,
"Acres of Wheat to plant": null,
"Acres of cucumbers": null,
"Acres of potatoes": null,
"Amount invested in healthcare": null,
"Amount invested in telecom": null,
... |
91 | There is 1000 mg of gold available that is needed to make long and short cables. Long cables require 10 mg of gold while short cables require 7 mg of gold. Because of their compact size, at least 5 times the number of short cables are needed than the long cables. In addition, there needs to be at least 10 long cables m... | {
"Acres of Corn to plant": null,
"Acres of Pumpkins to grow": null,
"Acres of Soybeans to plant": null,
"Acres of Turnips to grow": null,
"Acres of Wheat to plant": null,
"Acres of cucumbers": null,
"Acres of potatoes": null,
"Amount invested in healthcare": null,
"Amount invested in telecom": null,
... |
92 | A company is deciding where to promote their product. Some options include z-tube, soorchle engine, and wassa advertisements. The cost for each option and the number of viewers they each attract is given. On z-tube, each ad costs $1000 and attracts 400,000 viewers. On soorchle, each ad costs $200 and attracts 5,000 vie... | {
"Acres of Corn to plant": null,
"Acres of Pumpkins to grow": null,
"Acres of Soybeans to plant": null,
"Acres of Turnips to grow": null,
"Acres of Wheat to plant": null,
"Acres of cucumbers": null,
"Acres of potatoes": null,
"Amount invested in healthcare": null,
"Amount invested in telecom": null,
... |
93 | A chair produced by Elm Furniture yields a profit of $43, while every dresser yields a $52 profit. Each week, 17 gallons of stain and 11 lengths of oak wood are available. Each chair requires 1.4 gallons of stain and 2 lengths of oak wood, while each dresser requires 1.1 gallons of stain and 3 lengths of oak wood. Dete... | {
"Acres of Corn to plant": null,
"Acres of Pumpkins to grow": null,
"Acres of Soybeans to plant": null,
"Acres of Turnips to grow": null,
"Acres of Wheat to plant": null,
"Acres of cucumbers": null,
"Acres of potatoes": null,
"Amount invested in healthcare": null,
"Amount invested in telecom": null,
... |
94 | A farmer wants to mix his animal feeds, Feed A and Feed B, in such a way that the mixture will contain a minimum of 30 units of protein and 50 units of fat. Feed A costs $100 per kilogram and contains 10 units of protein and 8 units of fat. Feed B costs $80 per kilogram and contains 7 units of protein and 15 units of f... | {
"Acres of Corn to plant": null,
"Acres of Pumpkins to grow": null,
"Acres of Soybeans to plant": null,
"Acres of Turnips to grow": null,
"Acres of Wheat to plant": null,
"Acres of cucumbers": null,
"Acres of potatoes": null,
"Amount invested in healthcare": null,
"Amount invested in telecom": null,
... |
95 | An artisan makes two types of terracotta jars: a thin jar and a stubby jar. Each thin jar requires 50 minutes of shaping time and 90 minutes of baking time. Each stubby jar requires 30 minutes of shaping time and 150 minutes of baking time. Per week, there are 3000 minutes available for shaping and 4000 minutes availab... | {
"Acres of Corn to plant": null,
"Acres of Pumpkins to grow": null,
"Acres of Soybeans to plant": null,
"Acres of Turnips to grow": null,
"Acres of Wheat to plant": null,
"Acres of cucumbers": null,
"Acres of potatoes": null,
"Amount invested in healthcare": null,
"Amount invested in telecom": null,
... |
96 | A grocery store wants to liquidate its stock of 10 apples, 20 bananas, and 80 grapes. Given past experience, the store knows that they can propose a banana-haters package with 6 apples and 30 grapes and that this package will bring a profit of six euros. Similarly, they can prepare a combo package with 5 apples, 6 bana... | {
"Acres of Corn to plant": null,
"Acres of Pumpkins to grow": null,
"Acres of Soybeans to plant": null,
"Acres of Turnips to grow": null,
"Acres of Wheat to plant": null,
"Acres of cucumbers": null,
"Acres of potatoes": null,
"Amount invested in healthcare": null,
"Amount invested in telecom": null,
... |
97 | A bakery uses a stand-mixer and a slow bake oven to make bread and cookies. Each machine can run for at most 3000 hours per year. To bake a loaf of bread takes 1 hour in the stand mixer and 3 hours in the oven. A batch of cookies requires 0.5 hours in the mixer and 1 hour in the oven. The profit per loaf of bread is $5... | {
"Acres of Corn to plant": null,
"Acres of Pumpkins to grow": null,
"Acres of Soybeans to plant": null,
"Acres of Turnips to grow": null,
"Acres of Wheat to plant": null,
"Acres of cucumbers": null,
"Acres of potatoes": null,
"Amount invested in healthcare": null,
"Amount invested in telecom": null,
... |
98 | A glass factory makes two types of glass panes: a regular glass pane and a tempered glass pane. Both require time on a heating and cooling machine. Both machines are available for a maximum of 300 minutes per day. It takes 3 minutes in the heating machine and 5 minutes in the cooling machine to make one regular glass p... | {
"Acres of Corn to plant": null,
"Acres of Pumpkins to grow": null,
"Acres of Soybeans to plant": null,
"Acres of Turnips to grow": null,
"Acres of Wheat to plant": null,
"Acres of cucumbers": null,
"Acres of potatoes": null,
"Amount invested in healthcare": null,
"Amount invested in telecom": null,
... |
99 | A souvenir shop makes wooden elephants and tigers with plastic ornaments. Each elephant requires 50 grams of wood and 20 grams of plastic. Each tiger requires 40 grams of wood and 30 grams of plastic. In a week, 5000 grams of wood and 4000 grams of plastic are available. The profit per elephant sold is $5 and the profi... | {
"Acres of Corn to plant": null,
"Acres of Pumpkins to grow": null,
"Acres of Soybeans to plant": null,
"Acres of Turnips to grow": null,
"Acres of Wheat to plant": null,
"Acres of cucumbers": null,
"Acres of potatoes": null,
"Amount invested in healthcare": null,
"Amount invested in telecom": null,
... |
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