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 ≥ 100
B)4x − 2y ≤ 100
C)4x + 2y ≤ 100
D)4x − 2y ≥ 100

Question

Quizplus · Accepted Answer

The constraint represents the limitation of the total available hours of manufacturing process time. 
The manufacturing process takes 4 hours for each unit of x and 2 hour for each unit of y. Therefore, the total manufacturing process time can be calculated as 4x + 2y. We know that the maximum available manufacturing process time is 100 hours. So, we can represent this constraint as:
4x + 2y ≤ 100

If a Manufacturing Process Takes 4 Hours Per Unit of X