What is the minimum value for z=3x-1/2y over the feasibility region defined by the constraints?

a.-4
b.-5
c.-3
d.-6

constraints
x greater than or equal to 0
y less than or equal to 8
y greater than or equal to x
y greater than or equal to -1/2x+6

4 answers

The region has vertices at
(0,6) (0,8) (4,4) (8,8)

So, evaluate z at each vertex.
After putting it into Desmos I got -3.
I believe that is it.
It’s -4 just took the test
anon
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