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

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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