Question

Find the values of x and y that maximize the objective function. P=3x++2y for the graph. What is the maximum value?

Answer 1

I KNOW HOW TO FIND THE MAX OF P BUT HOW DO I FIND THE X AND Y VARIIABLES?

Answer 2

@mathstudent55

Answer 3

I got p=27 for max value!

Answer 4

You check each "corner", plugging in the (x,y) of each corner into the objective function. The pair that give the biggest P gives you the x and y

Answer 5

Thanks you for explaining that :)

Answer 6

Hey! So far I have 3(0) + 2(8) and 3(5) + 2(4)
16 23
Where do I go from here? @phi

Answer 7

point (5,4) is not on a "corner" so you need not check it... it won't be the max or min
you check (0,8)
now check (9,0)
and (0,0)
They want the pair that makes 3x+2y the biggest
it looks like (9,0) will do that, with a value of 27