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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

Operation Management, Management Studies

  • Category:- Operation Management
  • Reference No.:- M91700666

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