If a company produces Product A,then it must produce at least 200 units of Product A.Which of the following constraints model this condition?
A)X₁Y₁ ≤ 200
B)X₁ ≥ 200 + Y₁
C)X₁ ≤ 200Y₁
D)X₁ - 200Y₁ ≥ 0
E)X1 200

Question

If a company produces Product A,then it must produce at least 200 units of Product A.Which of the following constraints model this condition?
A)X₁Y₁ ≤ 200
B)X₁ ≥ 200 + Y₁
C)X₁ ≤ 200Y₁
D)X₁ - 200Y₁ ≥ 0
E)X1 > 200

Quizplus · Accepted Answer

The constraint X₁ - 200Y₁ ≥ 0 ensures that the production level of Product A (X₁) is at least 200 units, as long as the production of Product A (Y₁) is non-zero (Y₁ > 0). If Y₁ = 0, which means no Product A is produced, this constraint is automatically satisfied. Therefore, option D correctly models the condition that a company must produce at least 200 units of Product A.

If a Company Produces Product A,then It Must Produce at Least