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Consider the following LP problem: Maximise profit = 10X1 + 8X2 subject to 4X1 + 2X2 80 X1 + 2X2 50 X1, X2 0 a.

Consider the following LP problem:

Maximise profit = 10X1 + 8X2 subject to 4X1 + 2X2 80 X1 + 2X2 50 X1, X2 0

a. Solve this problem graphically. (20%)) b. solving this problem using the simplex algorithm. (20%)) c. The solution in each simplex tableau is a corner point on the graph. Identify the corner point associated with each tableau. (10%))

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