Question: Solve the following linear programming problem by the graphical method. Maximize Z = 400 X1 + 200 x 2 Subject to : X1 + 8X2

Solve the following linear programming problem by the graphical method.

Maximize Z = 400 X1 + 200 x 2

Subject to : X1 + 8X2 <= 24

X1 + 2X2 <= 12

X1 >= 0 , X2 >= 0

You will need to graph each of the constraints to answer the following questions. You can draw a rough graph.

a) State the coordinates of the point where the constraints interact.

b) Define in words the region of feasible solutions.

c) Lost all of the vertices or corner points on the region of feasible solutions.

d) Find the solution which will maximize profit (Z) and give the numerical value for the maximum profit.

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