Question: Consider the following LP model Max Z = 9x + 15y S.t. 3x + 2y 18 x 4 y 6 3/2 y = x x,

Consider the following LP model

Max Z = 9x + 15y

S.t.

3x + 2y 18

x 4

y 6

3/2 y = x

x, y 0

a) Draw the feasible solution area.

b) Find the optimal solution using the graphical method.

c) Suppose that the coefficient of the variable y in the objective function is changed to 6. Find the new optimal solution using manual sensitivity analysis without solving the problem again. Show your work

d) By how much can the coefficient of the variable x be reduced before the optimal solution changes? Perform manual sensitivity analysis without solving the problem again. Show your work and reflect it on your graph.

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