A linear programming problem contains a restriction that reads "the quantity of Q must be no larger than the sum of R, S, and T." Formulate this as a constraint ready for use in problem solving software.
A) Q + R + S + T ≤ 4
B) Q ≥ R + S + T
C) Q - R - S - T ≤ 0
D) Q / (R + S + T) ≤ 0
E) none of the above

Question

Quizplus · Accepted Answer

The constraint "the quantity of Q must be no larger than the sum of R, S, and T" can be represented as Q - R - S - T ≤ 0 in linear programming. This is because we want to ensure that Q is less than or equal to the sum of R, S, and T. Choice A is incorrect because it adds all the variables together on the left-hand side rather than subtracting them. Choice B is incorrect because it reverses the inequality and gives the opposite meaning of the constraint. Choice D is incorrect because it divides Q by the sum of R, S, and T, which is not a valid operation for a linear programming constraint.

A Linear Programming Problem Contains a Restriction That Reads "The