Question: You are given the following particulars: Objective function: Minimize Cost (Z) = 8X1 + 5X2 Subject to (constraints) X1 + X2 500 5X1 +

You are given the following particulars: Objective function: Minimize Cost (Z) = 8X1 + 5X2 Subject to (constraints) X1 + X2 ≥ 500 5X1 + X2 ≥ 750 2X1 + 5X2 ≥ 1500 X1, X2 ≥ 0 REQUIRED Marks 7.1. State the underlying assumptions of linear programming for planning purposes. 5 7.2. Solve the linear programming problem by means of the graphic method. Clearly present your co-ordinates in a tabular format as shown below and indicate the feasible region on the graph. Constraints X1 X2 8 7.3. Determine the optimal solution mix, using the corner-point methods. 12 6.4. Are all the constraints binding? Give reasons for your answer.

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