Exercise 4-10:

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.