If a manufacturing process takes 4 hours per unit of x and 2 hours per unit of y and a maximum of 100 hours of manufacturing process time are available,then an algebraic formulation of this constraint is:
A) 4x + 2y $\ge$ 100
B) 4x - 2y $\le$ 100
C) 4x + 2y $\le$ 100
D) 4x - 2y $\ge$100

Question

Quizplus · Accepted Answer

The total manufacturing process time for one unit of x and one unit of y is 4 hours + 2 hours = 6 hours. To find the maximum number of units of x and y that can be manufactured given the maximum of 100 hours of process time, we can set up the inequality 6(x + y) ≤ 100, which simplifies to 4x + 2y ≤ 100. Thus, the algebraic formulation of the constraint is 4x + 2y ≤ 100, which is represented in choice C.

If a Manufacturing Process Takes 4 Hours Per Unit of X