Question

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

Answer 1

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

So, evaluate z at each vertex.

Answer 2

After putting it into Desmos I got -3.
I believe that is it.

Answer 3

It’s -4 just took the test

Answer 4

anon