Answer:
The maximum value of z is 43.2 when x=2.7 and y=2.7 . The minimum value of f is 7 when x=0 and y=1
Explanation:
f(x,y): z = 9x + 7y ... (1)
from the graphing we get the vertices of the constraint region formed are:
(0,4) (0,1) (1,0) (4,0) (2.7,2.7) ... plug in (1)
at (0,4): z = 28
at (0,1): z = 7
at (1,0): z = 9
at (4,0): z = 36
at (2.7,2.7): z = 43.2
The maximum value of z is 43.2 when x=2.7 and y=2.7 . The minimum value of z is 7 when x=0 and y=1