A company makes two products, X₁ and X₂. They require at least 20 of each be produced. Which set of lower bound constraints reflect this requirement? A) X₁ ≥ 20, X₂ ≥ 20 B) X₁ + X₂ ≥ 20 C) X₁ + X₂ ≥ 40 D) X₁ ≥ 20, X₂ ≥ 20, X₁ + X₂ ≤ 40

Question

Quizplus · Accepted Answer

The lower bound constraints indicate the minimum value that each product should be produced. Therefore, we need to have a separate constraint for each product. Option A provides the correct constraints for each product separately, indicating that at least 20 units of each product should be produced. Option B is incorrect because it only provides a total lower bound constraint, not separate constraints for each product. Option C is incorrect because it indicates that the total number of products should be at least 40, which is not a requirement. Option D is incorrect because it includes an upper bound constraint, which is not necessary to meet the requirement of producing at least 20 units of each product.

A Company Makes Two Products, X1 and X2

A Company Makes Two Products, X₁ and X₂