In: Statistics and Probability
Multiple choice problem:
Question:
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 mg of vitamin A and 1 mg of vitamin B, whereas an ounce of rice contributes 6 mg of A and 2 mg of B. An ounce of oats costs $0.05 and an ounce of rice costs $0.03. The linear optimization model is: Minimize Total Cost 8x1 + 6x2 ≥ 48 1x1 + 2x2 ≥ 12 x1, x2 ≥ 0 Solve this model using Solver. Which variables are positive in the optimal solution?
Multiple choice answer options (only one answer is correct. Either A, B, C or D):
A.) Both oats and rice are zero
B.) Only rice
C.) Only oats
D.) Both oats and rice
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Answer:
Only Rice is positive - option B