# Consider the following linear programming problem: Max 3A + 3B s.t. 2A + 4B 12 6A

## Question:

Max 3A + 3B

s.t.

2A + 4B ≤ 12

6A + 4B ≤ 24

A, B ≥ 0

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

b. If the objective function is changed to 2A + 6B, what will the optimal solution be?

c. How many extreme points are there? What are the values of A and B at each extreme point?

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**Related Book For**

## Quantitative Methods for Business

**ISBN:** 978-0324651751

11th Edition

**Authors:** David Anderson, Dennis Sweeney, Thomas Williams, Jeffrey cam