SOLUTION: Fine the maximum and minimum value of the objective function z = x+5y subject to the constraints: x+4y less than or equal to 12 x+y greater than equal to 2 x less than equal

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Question 856006: Fine the maximum and minimum value of the objective function z = x+5y subject to the constraints:
x+4y less than or equal to 12
x+y greater than equal to 2
x less than equal to 8
x greater equal to 0
y greater than equal to 0
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!

Find the points of intersection that bound the region.
(8,0)
(8,1)
(0,3)
(0,2)
(2,0)
The solutions occur at one of these points.
z=x%2B5y=8%2B5%280%29=8
z=8%2B5%281%29=13
z=0%2B5%283%29=15
z=0%2B5%282%29=10
z=2%2B5%280%29=2
.
.
.
Maximum occurs at (0,3) and equals 15.
Minimum occurs at (2,0) and equals 2.