Question: Question 4 (20%): Use the graphical method to answer questions regarding the following LP model. (Note There is graph paper at the end of this

Question 4 (20%): Use the graphical method to answer questions regarding the following LP model. (Note There is graph paper at the end of this document that you can use.) Maximize 30X +20y Subject to X + y 5 10 (constraint 1) 2X + y E 14 (constraint 2) 5X + y 15 (constraint 3) y 3 8 (constraint 4) X, y 3 0 a. Sketch the feasible region on the plot. b. What is the optimal solution and optimal value of this LP? c. This LP has an: 0 Infeasible Solution 0 Unique Optimal Solution - Alternate Optimal Solution 0 Unbounded Optimal Solution d. If the objective function is changed from Maximize 30X +20}! to Minimize 30X +6y, what gipe of solution will it have? ' Infeasible Solution 0 Unique Optimal Solution 0 Alternate Optimal Solution 0 Unbounded Optimal Solution

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