Maximize profit

Question

Maximize z=12x+15y subject to:

10≤x≤20

8≤x≤17

y≤20

x+y≤20

Answer 1

10≤x≤20 and 8≤x≤17 means 10≤x≤17

y≤20

x+y≤20

Maximize z=12x+15y Note that y bring in higher values than x's so we want the most y's and the least x's

Clearly the least x can be is 10.

If x+y≤20 and x=10, then we would like y to be as great as it it can be. So choose y=10. Now check to see if this violates y≤20 and it does not. So x=10 and y=10.

Exactly where was the trouble with you doing this problem?