Question: Consider the following linear programming problem: Profit (Maximize) Z = 8X + 7Y Such that: Material-1 3X+ 14 S 15 Material-11 5X+ 3Y S 30

Consider the following linear programming problem: Profit (Maximize) Z = 8X + 7Y Such that: Material-1 3X+ 14 S 15 Material-11 5X+ 3Y S 30 Material-III 1X+ 1Y S8 X and Y 20 Solve the above linear programming problem (LPP) using graphical method ONLY and answer the following: (10) a) Write all the corner points solution from graph. (6) b) Identify the optimal solution point on your graph. What are the values of X and Y at the optimal solution? (2) Consider the following linear programming problem: Profit (Maximize)Z = 8X + 7Y Such that: Material-1 3X+ 14 S 15 Material-11 5X+ 3Y S 30 Material-III 1X+ 1Y S8 X and Y 20 Solve the above linear programming problem (LPP) using graphical method ONLY and answer the following: (10) a) Write all the corner points solution from graph. (6) b) Identify the optimal solution point on your graph. What are the values of X and Y at the optimal solution? (2) Solve the above linear programming problem (LPP) using graphical method ONLY and answer the following: (10) a) Write all the corner points solution from graph. (6) b) Identify the optimal solution point on your graph. What are the values of X and Y at the optimal solution? (2) c) Is there any unused material? If so, how much? (2)

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