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Consider the following linear program:

Min 8x +12y

s.t.

1x + 3y > or equal to 9

2x + 2y > or equal to 10

6x + 2y > or equal to18

A,B > or equal to 0

a) Use the graphical solution procedure to find the optimal solution.

b) Assume that the objective function coefficient for X changes from 8 to 6. Does the optimal solution change?Use the graphical solution procedure to find the new optimal solution.

c) Assume that the objective function coefficient for X remains 8, but the objective function coefficient for Y changes from 12 to 6. Does the optimal solution change?Use the graphical solution procedure to find the new optimal solution.

d) The sensivitiy report for the linear program in part (a) provides the following objective coefficient range information:

VARIABLE OBJECTIVE COEFFICIENT ALLOWABLE INCREASE ALLOWABLE DECREASE

x 8,000 4,000 4,000
y 12,000 12,000 4,000

How would this coefficient range information help you answer parts (b) and (c) prior to resolving the problem?

Operation Management, Management Studies

  • Category:- Operation Management
  • Reference No.:- M9391519

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