Question

Find the maximum value of the function for the polygonal convex set determined by the given system of inequalities.

Answer 1

\(3x-2y\ge 0\)
\(y\ge 0\)
\(3x+2y\le 24\)
\(f(x,y)=7y-3x\)

Do I solve this one the same way as the last?

Answer 2

...except find the maximum instead of minimum?

Answer 3

yes

Answer 4

Awesomeness...

Answer 5

So...f(0,0)=7(0)-3(0)
f(0,0)=0

f(4,6)=7(4)-3(6)
f(4,6)=28-18
f(4,6)=10

f(8,0)=7(8)-3(0)
f(8,0)=56

so the maximum is 56...

Answer 6

isn't f(x,y)= 7y -3x ?

Answer 7

shoo...yes -_-

Answer 8

good catch...

Answer 9

..so it's really 30..

Answer 10

time to tackle my next assignment!