By graphing the system of constraints find the values of x and y that maximize the object function.

Answer with Step-by-step explanation:

The solution of system of equations is all those values of x and y which satisfy both the inequalities or the points which lie in the region common between both the inequalities.

N=100x+40y

The optimal solution will be find from the points which lie on the extreme end of the region common between the inequalities i.e. (2,6), (0,8) or (5,0)

(x,y)=(2,6)

N=100×2+40×6

N= 200+240

N=440

(x,y)=(0,8)

N=100×0+40×8

N= 0+320

N=320

(x,y)=(5,0)

N=100×5+40×0

N= 500+0

N=500

Hence, optimal solution is:

(5,0)