A linear programming problem contains a restriction that reads "the quantity of S must be no less than one-fourth as large as T and U combined." Formulate this as a linear programming constraint.
A) S / (T + U) ≥ 4
B) S - .25T - .25U ≥ 0
C) 4S ≤ T + U
D) S ≥ 4T / 4U
E) S ≥ .25T + S ≥ .25U

Question

Quizplus · Accepted Answer

To translate the restriction "the quantity of S must be no less than one-fourth as large as T and U combined" to a linear programming constraint, we need to express it as an inequality. 
Let's first express "one-fourth as large as T and U combined" as (T+U)/4. 
The restriction then becomes S ≥ (T+U)/4. 
Multiplying both sides by 4 gives 4S ≥ T+U, which is equivalent to S - 0.25T - 0.25U ≥ 0 after dividing both sides by 4. Therefore, the correct choice is B.

A Linear Programming Problem Contains a Restriction That Reads "The