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sukhopar [10]
3 years ago
7

The Munchies Cereal Company makes a cereal from several ingredients. Two of the ingredients, oats and rice, provide vitamins A a

nd B. The company wants to know how many ounces of oats and rice it should include in each box of cereal to meet the minimum requirements of 48 milligrams of vitamin A and 12 milligrams of vitamin B while minimizing cost. An ounce of oats contributes 8 milligrams of vitamin A and 1 milligram of vitamin B, whereas an ounce of rice contributes
Health
1 answer:
Neporo4naja [7]3 years ago
7 0

Answer:

Minimum cost and vitamins are achieved at $0.24.

Explanation:

Two equations

8x + 6y = 48

x + 2y = 12

Cost function

C = 0.05x + 0.03y

Minimum cost is $0.24.

which is achieved at 0 ounces of oat and 8 ounces of rice

Vitamin A

8x + 6y - 48

Vitamin B

x + 2y = 12

Put these equations on a graph

C= 0.05 {0} + 0.03 {8}

C= $0.24

Thus the minimum cost and vitamins are achieved at $0.24.

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