If a manufacturing process takes 4 hours per unit of x1and 2 hours per unit of x2 and a maximum of 100 hours of manufacturing process time are available,then an algebraic formulation of this constraint is:
A) 4x1 + 2x 2 ≥ 100
B) 4x1 − 2x 2 ≤ 100
C) 4x1 + 2x 2 ≤ 100
D) 4x1 − 2x 2 ≥ 100

Question

If a manufacturing process takes 4 hours per unit of x1and 2 hours per unit of x2 and a maximum of 100 hours of manufacturing process time are available,then an algebraic formulation of this constraint is:
A) 4x1 + 2x 2  ≥ 100 
B) 4x1 − 2x 2 ≤ 100 
C) 4x1 + 2x 2 ≤ 100 
D) 4x1 − 2x 2 ≥ 100

Quizplus · Accepted Answer

The manufacturing process time constraint can be written as:
4x1 + 2x2 <= 100
where x1 is the units of product x1 produced and x2 is the units of product x2 produced. 
To put it in the given format: 
4x1S1U1B0 + 2x2S1U1B1 <= 100
And simplifying:
4x1S1U1B0 + 2x2S1U1B1 + 0S1U1B0 ≤ 100
Hence, the correct choice is C.

If a Manufacturing Process Takes 4 Hours Per Unit of X1and