If there is a maximum of 4,000 hours of labor available per month and 300 ping-pong balls (x₁)or 125 wiffle balls (x₂)can be produced per hour of labor,which of the following constraints reflects this situation? A)300x₁ + 125x₂ 4,000 B)300x₁ + 125x₂

Question

If there is a maximum of 4,000 hours of labor available per month and 300 ping-pong balls (x₁)or 125 wiffle balls (x₂)can be produced per hour of labor,which of the following constraints reflects this situation? A)300x₁ + 125x₂ > 4,000 B)300x₁ + 125x₂ < 4,000 C)425(x₁ + x₂)< 4,000 D)300x₁ + 125x₂ = 4,000

Quizplus · Accepted Answer

The constraint should represent the maximum amount of hours of labor available to produce the ping-pong balls (300x₁) and the wiffle balls (125x₂). Since this amount cannot exceed the total amount of labor available (4,000), the correct constraint is 300x₁ + 125x₂ < 4,000. Therefore, the answer is choice B.

If There Is a Maximum of 4,000 Hours of Labor