Question

I NEED HELP ON THESE QUESTIONS QUICKLY PLEASE!!!!

1. Maximize Z=2x+3y subject to the constraints:

3x+2y≤15

4x+y≤0

x≥0

y≥0

On the attachments I need questions 7,21,22.23and 25 answered and it has to be in the next 2 hours please this is very Important


1

Answer 1

The objective function Z = 2x + 3y cannot be maximized, while the maximum value of the objective function Z = 2x + 5y is 19

Part A (Question 1): Maximize Z

The objective function is given as:

Z = 2x + 3y

The constraints are given as:

3x+2y≤15

4x+y≤0

x≥0; y≥0

See attachment for the graph of the constraints

From the attached graph, we have the optimal solution to be:

(x,y) = (-3,12)

Because x≥0 & y≥0, and x is negative in (-3,12), then

The function cannot be maximized.

Part B (Question 7): Maximize Z

The objective function is given as:

Z = 2x + 5y

The constraints are given as:

x + y ≤ 5

y - x ≤ 1

x≥0; y≥0

See attachment for the graph of the constraints

From the attached graph, we have the optimal solution to be:

(x,y) = (2,3)

Substitute 2 and 3 for x and y in the objective function.

Z = 2 * 2 + 5 * 3

Evaluate

Z = 19

Hence, the maximum value of the objective function is 19

The questions 21, 22, 23 and 25 are not included in the attachment

Read more about maximized functions at:

https://brainly.com/question/16826001

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