Question: 8. By using solver, and given the following LP model, please answer. Make sure to provide the sensitivity analysis results: MAX 14X + 18Y s.t.

8. By using solver, and given the following LP model, please answer. Make sure to provide the sensitivity analysis results:

MAX 14X + 18Y

s.t.

10X + 12Y 1000

40X 1000

20X + 30Y 2000

X,Y 0

a.What is the optimal objective value of the objective function?

b.What are the optimal values of the two decision variables?

c. What are the ranges optimality?

d.Would it be beneficial to increase the maximum value of constraint 1 to 1100? Explain.

e.What would happen if we would change the RHS of constraint 3 to 2400? Explain

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