Question: For the following linear programming problem: Max 0.5A + 4B s.t. -2A + 3B 8 (Constraint 1) 6A - 2B 5 (Constraint 2) A 1

For the following linear programming problem: Max 0.5A + 4B s.t. -2A + 3B 8 (Constraint 1) 6A - 2B 5 (Constraint 2) A 1 (Constraint 3) A + B 5 (Constraint 4) A, B 0 (Note: IN ORDER TO GET FULL MARKS, SHOW ALL CALCULATION STEPS. FAILURE TO DO SO WILL RESULT IN A SCORE OF 0.) a) Solve the LP Model using the graphical method. Label your graph completely (and upload your graph as a jpg). State your optimal solution and objective function value. b) Calculate the Slack/Surplus for each constraint. c) Calculate the Shadow/dual Prices for each constraint.

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