Question: 5. A linear programming model is given as follows: Maximize ???? = 6.5????! + 10???? Subject to 2????! + 4???? 40 ????! + ???? 12

5. A linear programming model is given as follows: Maximize ???? = 6.5????! + 10????" Subject to 2????! + 4????" 40 ????! + ????" 12 ????! 8 ????! , ????" 0 (a) Define the feasible solution area and obtain the optimal solution graphically. (b) Write the model in the standard form using slack or surplus variables for all the constraints. (c) Compute the values of the slack/surplus variables at the solution in (a). (d) If the third constraint, ????! 8, is changed to ????! 8, what effect will be?

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