A baker uses organic flour from a local farmer in all of his baked goods. For each batch of bread (x1), he uses 4 pounds of flour. For a batch of cookies (x2), he uses 3 pounds, and for a batch of muffins (x3) he uses 2 pounds. The local farmer can supply him with no more than 24 pounds per week. The constraint that represents this condition is:
A) x1 ≤ 8, x2 ≤ 8, x3 ≤ 8
B) x1 + x2 + x3 ≥ 24
C) x1 + x2 + x3 ≤ 24
D) 4x1 + 3x2 + 2x3 ≤ 24

Question

Quizplus · Accepted Answer

The correct constraint combines the pounds of flour used per batch of each product and the maximum flour available. Each batch of bread (x1) uses 4 pounds, cookies (x2) use 3 pounds, and muffins (x3) use 2 pounds, with a total limit of 24 pounds. Thus, the equation is 4x1 + 3x2 + 2x3 ≤ 24.

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