Question: Please especially try to answer C & D where I am most confused!!! THANK YOU!! Consider the following LP: P: Max z= 3x 1 +2x

Please especially try to answer C & D where I am most confused!!! THANK YOU!!

Consider the following LP:

P: Max z= 3x1+2x2

s.t.

-x1 + 2x2

2x1 + x2

-x1, x2 >= 0

a. Solve the problem graphically: clearly mark each constraint, the feasible region, the iso-profit curve and the optimal on the graph.

Please especially try to answer C & D where I am

b. What is the optimal solution? What is the optimal value of the objective function?

c. What are the coordinates of all extreme points based on the graph?

d. Which one of the 4 categories will this LP formulation fall into, if we change the objective function to:

Max z= 10x1 + 5x2

e. Which one of the 4 categories will this LP formulation fall into, if we remove the second constraint (2x1 + x2

Please answer all the questions in detail. Thank you.

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