Answer:
Minimum value is 18
It occurs at P(6,0)
Step-by-step explanation:
The given objective function is
The vertices of the feasible region are .
We plug in the vertices in to feasible region and evaluate to obtain,
P(0,7) = 3(0) + 5(7)
P(0,7) = 0+35
P(0,7) = 35
P(3,7) = 3(3) + 5(7)
P(3,7) = 9+35
P(3,7) = 44
P(6,3) = 3(6) + 5(3)
P(6,3) = 15+15
P(6,3) = 33
P(6,0) = 3(6) + 5(0)
P(6,0) = 18+0
P(6,0) = 18
