Given the following constraints, find the maximum and minimum values for z. Constraints: 2x−y≤124x+2y≥0x+2y≤6 Optimization Equation: z=2x+5y

Minimum = 0

Maximum = 15

Step-by-step explanation:

Given

Optimization Equation:

Constraints:

Required

The maximum and the minimum values of z

To do this, we make use of graphical method.

Plot the constraints on a graph (see attachment)

Get the corner points from the points.

These are the points where

So, we have:

Substitute these points in the optimization equation:

So, the values are:

Minimum = 0

Maximum = 15