Question: Problem Max 3A + 4B s.t. 2A + 4B 12 6A + 4B 24 A,B 0 Graph a. Find the optimal solution using the graphical

Problem

Max 3A + 4B
s.t.
2A + 4B 12
6A + 4B 24
A,B 0

Graph

a. Find the optimal solution using the graphical solution procedure.

The optimal solution
A =
B =
Value of Objective Function =
b. If the objective function is changed to 2A + 6B, what will the optimal solution be?
The optimal solution
A =
B =
Value of Objective Function =
c. How many extreme points are there? What are the values of A and B at each extreme point?
The number of extreme points =
The values of A and B => A B

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