Question

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

Answer 1

(9,0)

Answer 2

But how did you solve for it, @vanherrera45 ?

Answer 3

Find P for the given three points:
x = 0, y = 8, P = (3)(0) + 2(8) = 16
x = 5, y = 4, P = (3)(5) + 2(4) = 23
x = 9, y = 0, P = (3)(9) + 2(0) = 27

P keeps increasing as x increases. Makes sense since x is multiplied by 3 and y only by 2. So more x will give higher P.

So the point is (9,0) and the max value for P is 27.

Answer 4

^ yes

Answer 5

Thanks!

Answer 6

you are welcome.