# A graphical approach was used to solve the following LP model in problem. Maximize profit+ $4x +$5y Subject to the constraints 5x+2y ≤ 40 3x +6y ≤ 30 x ≤ 7 2x – y ≥ 3 x, y ≥ 0 Use the graphical solution to answer the following questions. Each question is independent of the others. Determine if (and how

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A graphical approach was used to solve the following LP model in problem.

Maximize profit+ $4x +$5y

Subject to the constraints

5x+2y ≤ 40

3x +6y ≤ 30

x ≤ 7

2x – y ≥ 3

x, y ≥ 0

Use the graphical solution to answer the following questions. Each question is independent of the others.

Determine if (and how ) the following changes would affect the optimal solution values and or profit.

a. A technical breakthrough raises the profit per unit of Y to $10.

b. The profit per unit of X decreases to only $2.

c. The first constraint changes to 5x + 2y ≤ 54.

**Related Book For**

## Managerial Decision Modeling with Spreadsheets

3rd edition

Authors: Nagraj Balakrishnan, Barry Render, Jr. Ralph M. Stair

ISBN: 978-0136115830