Instructions: Given the following constraints, find the maximum and minimum values for z.
x + 3y < 0
Constraints:
x - y = 0
3x - 7y < 16
Optimization Equation: z = -x + 5y
Maximum Value of z: 0
Minimum Value of z:

The answer is below

Step-by-step explanation:

Given the constraints:

x + 3y≤ 0; x - y ≥ 0 and 3x - 7y ≤ 16.

We have to first plot the constraints using the geogebra online graphing tool. Plotting the constraints gives the solution as:

A(0, 0), B(3, -1) and C(-4, -4).

Next using the optimization equation: z = -x + 5y

At point A(0, 0); z = -0 + 5(0) = 0

At point B(3, -1); z = -3 + 5(-1) = -8

At point C(-4, -4); z = -4 + 5(-4) = -24

Hence the maximum value of Z is 0 and the minimum value of Z is -24.

option a.

step-by-step explanation:

if you look closely at the graph, we can notice that the function is not defined at two different points.

if you look at functions b and c, you will notice that both functions are not defined at just one point. the function b is not defined at x= -5/2 and function c is not defined at x=-5. both options are discarded, given that our function should not be defined at two fiferent points.

now, if you look closely at the graph you will notice that the function sketched is not defined at x=5 and x=-2.

da freeck kinda math is this just drop out

step-by-step explanation: