A campaign manager for a political candidate must arrange the shipment of 150 cartons of campaign buttons from three button producers to three campaign headquarters.The supplies and demands,and the per-carton transportation costs,are shown below: Which of the following is a constraint for the suppliers (button producers)?
A) 2X11 + 5X12 + 6X13 ≤ 50
B) 9X11 + 3X12 + 7X13 = 50
C) X11 + X12 + X13 ≤ 50
D) X11 + X21 + X31 = 20
E) All of the choices are correct.

Question

A campaign manager for a political candidate must arrange the shipment of 150 cartons of campaign buttons from three button producers to three campaign headquarters.The supplies and demands,and the per-carton transportation costs,are shown below:  Which of the following is a constraint for the suppliers (button producers)?
A) 2X11 + 5X12 + 6X13 ≤ 50 
B) 9X11 + 3X12 + 7X13 = 50 
C) X11 + X12 + X13 ≤ 50 
D) X11 + X21 + X31 = 20 
E) All of the choices are correct.

Quizplus · Accepted Answer

The constraint for the suppliers (button producers) is the total number of cartons they can supply. This is represented by the equation X11 + X12 + X13 ≤ 50, where X11 is the number of cartons produced by supplier 1, X12 is the number of cartons produced by supplier 2, and X13 is the number of cartons produced by supplier 3. The sum of these three variables cannot exceed 50, which is the total number of cartons needed for the campaign. Therefore, choice C is the correct constraint for the suppliers.

A Campaign Manager for a Political Candidate Must Arrange the Shipment