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 $\le$ 50
B)9X11 + 3X12 + 7X13 = 50
C)X11 + X12 + X13 $\le$ 50
D)X11 + X21 + X31 = 20

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 $\le$ 50 
B)9X11 + 3X12 + 7X13 = 50 
C)X11 + X12 + X13 $\le$ 50 
D)X11 + X21 + X31 = 20

Quizplus · Accepted Answer

The constraint for the suppliers (button producers) is shown in option C as X11 + X12 + X13 ≤ 50. This is because the constraint limits the total number of cartons that each supplier can provide, which is denoted by X11, X12, and X13. The constraint is also given in terms of a "less than or equal to" format, which makes it a valid constraint for the suppliers. Option A is a constraint for the campaign headquarters, while Option B and Option D do not represent constraints for the suppliers.

A Campaign Manager for a Political Candidate Must Arrange the Shipment