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
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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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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