Given the following constraints, find the maximum and minimum values for z plaese help

Question

constraints

x+3y≤0

x−y≥03

x−7y≤16

Optimization Equation: z=−x+5y

Maximum Value of z:

Minimum Value of z

Answer 1

The optimization equation is a plane in space.

Therefore, there are no relative maxima and minima.

The absolute maxima and minima must lie on the edge of the region in the xy plane defined by the constraints.

The max appears to be at the origin and the min appears to be where y=-x/3 and y=(1/7)(3x-6) intersect.