Given constraints: x> =0, y> =0, 2x+2y> =4, x+y< =8 explain the steps for maximizing the objective function p=3x+4y.

The maximum value of P is 32

Step-by-step explanation:

we have following constraints

----> constraint A

----> constraint B  

----> constraint C

----> constraint D

Solve the feasible region by graphing

using a graphing tool

The vertices of the feasible region are

(0,2),(0,8),(8,0),(2,0)

see the attached figure

To find out the maximum value of the objective function P, substitute the value of x and the value of y of each vertex of the feasible region in the objective function P and then compare the results

we have

so

For (0,2) --->

For (0,8) --->

For (8,0) --->

For (2,0) --->

therefore

The maximum value of P is 32

4.08%

step-by-step explanation: