Linear Functions

In the story problem, a shoe factory has certain parameters for two types of soccer shoes.
1) each pair goes through a two-step process
2) Outdoor shoes (X) take 2hrs in 1st step: 1hr in the 2nd, yielding 20$
3) Indoor shoes (Y) take 1hr in step 1: 3hrs in step 2, yielding 15$
4) 40hrs are available for step 1
5) 60hrs available for step 2
Knowing this, the maximum number of either shoe that can be created is 20 pairs [40/2, 60/3] {X<= 20, Y<=20}   {X>=0,  Y>=0}    F(X,Y)= 20X+15Y
With this, the feasible region is a square defined at the points: (0,0); (0,20); (20,0); and (20,20)
Max F= (20,20); [20*20+(15*20)]=  700$

"Dumb fabric." ~Sweetie Belle