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The grain food company produces a grain food called Fortified Munchies, which is advertised as a food that meets daily requirements for vitamins A and D. The blending department uses three kinds of ingredients in making the grain food-wheat, oats and Rice-all contain various vitamins A and D in certain amounts. If one box of grain must contain certain amounts of vitamins A and D, the company instructs the blending department to determine how many ounces of each element should be included in each box of grain in an effort to minimize costs. This problem is different from the previous example which aims to minimize costs, rather than maximize profits. Each element has a contribution to each box. Vitamin Wheat A D Wheat Rice Requirements (mg/ons) (mg/ons) (mg/ons) (mg/box) 10 7 Vitamin Contribution 20 14 8 12 100 70 The cost of 1 (one) ounce of wheat is $0.04, the cost of one wheat is $0.06 and the cost of one ounce of rice is $0.02

The grain food company produces a grain food called Fortified Munchies, which is advertised as a food that meets daily requirements for vitamins A and D. The blending department uses three kinds of ingredients in making the grain food-wheat, oats and Rice-all contain various vitamins A and D in certain amounts. If one box of grain must contain certain amounts of vitamins A and D, the company instructs the blending department to determine how many ounces of each element should be included in each box of grain in an effort to minimize costs. This problem is different from the previous example which aims to minimize costs, rather than maximize profits. Each element has a contribution to each box. Vitamin Wheat A D Wheat Rice Requirements (mg/ons) (mg/ons) (mg/ons) (mg/box) 10 7 Vitamin Contribution 20 14 8 12 100 70 The cost of 1 (one) ounce of wheat is $0.04, the cost of one wheat is $0.06 and the cost of one ounce of rice is $0.02

Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter2: Systems Of Linear Equations
Section2.4: Applications
Problem 28EQ
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The grain food company produces a grain food called Fortified Munchies, which is advertised as a food that meets daily requirements for vitamins A and D. The blending department uses three kinds of ingredients in making the grain food-wheat, oats and Rice-all contain various vitamins A and D in certain amounts. If one box of grain must contain certain amounts of vitamins A and D, the company instructs the blending department to determine how many ounces of each element should be included in each box of grain in an effort to minimize costs. This problem is different from the previous example which aims to minimize costs, rather than maximize profits. Each element has a contribution to each box. Vitamin Wheat A D (mg/ons) 10 7 Wheat (mg/ons) 20 14 Vitamin Contribution Rice Requirements (mg/ons) (mg/box) 8 12 100 70 The cost of 1 (one) ounce of wheat is $0.04, the cost of one wheat is $0.06 and the cost of one ounce of rice is $0.02
Transcribed Image Text:The grain food company produces a grain food called Fortified Munchies, which is advertised as a food that meets daily requirements for vitamins A and D. The blending department uses three kinds of ingredients in making the grain food-wheat, oats and Rice-all contain various vitamins A and D in certain amounts. If one box of grain must contain certain amounts of vitamins A and D, the company instructs the blending department to determine how many ounces of each element should be included in each box of grain in an effort to minimize costs. This problem is different from the previous example which aims to minimize costs, rather than maximize profits. Each element has a contribution to each box. Vitamin Wheat A D (mg/ons) 10 7 Wheat (mg/ons) 20 14 Vitamin Contribution Rice Requirements (mg/ons) (mg/box) 8 12 100 70 The cost of 1 (one) ounce of wheat is $0.04, the cost of one wheat is $0.06 and the cost of one ounce of rice is $0.02
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