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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