So, I have no idea how to even go about solving this. My teacher taught me nothing about finding this.

Anyway, the question is:
"For the feasibility region shown below, find the maximum value of the function P = -3x + 4y"

I will post the graph in the comments momentarily

Question

So, I have no idea how to even go about solving this.  My teacher taught me nothing about finding this.

Anyway, the question is:
"For the feasibility region shown below, find the maximum value of the function P = -3x + 4y"

I will post the graph in the comments momentarily

anonymous · Answer

attachment

agent0smith · Answer

Find the verticers (corners) of the shaded region gfirst.

anonymous · Answer

I thought the regions were supposed to be infinite?

agent0smith · Answer

*vertices *first

No, it's a closed shaded region as you can see.

anonymous · Answer

If not, then the corners are (0,0), (0,8), (8,0), and (6,5) I guess

agent0smith · Answer

Now check of those in 

P = -3x + 4y

by plugging each point in, one at a time. The one that gives the biggest value of P is the point that gives the max value of P.

anonymous · Answer

So, (0,8)...? It gave me 32, which is the highest number out of what the others gave me.

anonymous · Answer

So 32 would be the maximum value?

agent0smith · Answer

Yep, at (0,8) you have the max, P = 32