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:
Destination
Campagin Headquarters Supply
1 2 3 50
Source: A 2 5 6 50
Button B 9 3 7 50
Producers C 1 8 4 50
Demand 20 70 60
1- Which of the following is an objective function for the problem ?
A. Min 50X13 + 50X12 +50X13 + 20X31 + 70X32 + 60X33
B. Min 2X11 + 5X12+ 6X13 + 9X21 + 3X22 + 7X23 + X31 + 8X32 + 4X33
C. Max 2X11 + 5X12 + 6X13 + 9X21 + 3X22 + 7X23 + X31 + 8X32 + 4X33
D. Max 20X11 + 70X12 + 60X13 + 50X31 + 50X32 + 50X33
E. None of the above
2- Which of the following is a constraint for the the supplier (button producers)?
A. 2X11 + 5X12 + 6X13 = 50
B. 9X11 + 3X12 +7X13 = 50
C. X11 + X12 + X13 = 50
D. X12 + X22 + X32 = 70
E. All of the above