Meeting the requirements for vitamins

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A company mixes oats and rice to make cereal. Each box of cereal must provide 48 milligrams of Vitamin A and 12 milligrams of vitamin B, while minimizing the cost of making the box. An ounce of oats contributes 8 milligrams of vitamin A and 1 milligram of vitamin B. An ounce of rice contributes 6 milligrams of vitamin A and 2 milligrams of vitamin B. Let X1 = ounces of oats in the box and X2 = ounces of rice in the box. A linear program is formulated to minimize cost while meeting the requirements for vitamins A and B. Which of the following statements is true?

A. 8X1 + X2 <= 12 is a constraint

B. 8X1 + X2 >= 12 is a constraint

C. X1 + 6X2 <= 48 is a constraint

D. The problem cannot be solved optimally with the information provided

Reference no: EM131233756

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