Your friend is trying to find the maximum value of p = -x + 3y subject to the following four constraints.

• what error did your friend make in the graph below?

• what is the correct solution?

The maximum value of P=11 occurs at x=1 and y=4

Step-by-step explanation:

we have

----> constraint A

----> constraint B

----> constraint C

----> constraint D

using a graphing tool

The solution is the shaded area

see the attached figure

The vertices of the solution area are

(0,0),(0,3),(1,4),(3,0)

Substitute the value of x and the value of y of each vertex in the objective function , to find out the maximum value of P

The objective function is

For (0,0) ----->

For (0,3) ----->

For (1,4) ----->

For (3,0) ----->

therefore

The maximum value of P=11 occurs at x=1 and y=4

square root

step-by-step explanation: