austin5053
14.07.2021 •
Mathematics
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:
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Ответ:
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.
Ответ:
8 is the answer \(-ㅂ-)/ ♥ ♥ ♥(╯°□°)╯︵ ┻━┻