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Paul [167]
2 years ago
14

Identify the vertices of the feasible region and use them to find the maximum and/or minimum value for the given linear programm

ing constraints.
System of Linear Programming:

z=−3x+5y

x+y≥−2

3x−y≤2

x−y≥−4

Maximum value of z:

Minimum value of z
Mathematics
1 answer:
Ghella [55]2 years ago
4 0

The maximum value of the objective function is 26 and the minimum is -10

<h3>How to determine the maximum and the minimum values?</h3>

The objective function is given as:

z=−3x+5y

The constraints are

x+y≥−2

3x−y≤2

x−y≥−4

Start by plotting the constraints on a graph (see attachment)

From the attached graph, the vertices of the feasible region are

(3, 7), (0, -2), (-3, 1)

Substitute these values in the objective function

So, we have

z= −3 * 3 + 5 * 7 = 26

z= −3 * 0 + 5 * -2 = -10

z= −3 * -3 + 5 * 1 =14

Using the above values, we have:

The maximum value of the objective function is 26 and the minimum is -10

Read more about linear programming at:

brainly.com/question/15417573

#SPJ1

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Vitek1552 [10]

5(x + 3) - 3(x - 2) = 19      That should give you the result you need. The answer will come out to be x = - 1

If you want it to be - 1 to start with, then

2(5x + 3) - 13x + 2 = - 1

7 0
3 years ago
Expand using distribution: 2x(x+1)(x-5)
morpeh [17]

Answer:

2x^3-8x^2-10x

Step-by-step explanation:

2x(x+1)(x-5)\\\\2x(x^2-4x-5)\\\\2x^3-8x^2-10x

5 0
2 years ago
Hi pls help answer this!
Morgarella [4.7K]

Answer:

363-138=-5x

Step-by-step explanation:

Let c = cost

We know that the total cost is $363:

363-??????

We also know that he spent $138 on parts:

363-138?????

And we are solving for the cost of labor per hour:

363-138=5x

We can use this equation to find the total cost of labor per hour.

Hence, your equation will be 363-138=5x

7 0
2 years ago
Your credit card company charges 18 % APR (Annual Percentage Rate )
hjlf

Answer:

c

Step-by-step explanation:

7 0
2 years ago
Identify the values that should be written to complete the X diagram.
cestrela7 [59]

Answer:

See the attachment for what goes on your X diagram.

Rewrite: x² -7x +4x -28

Grouping: (x² -7x) +(4x -28) = x(x -7) +4(x -7) = (x +4)(x -7)

Step-by-step explanation:

The given quadratic is ...

... x² -3x -28 . . . . . a=1, b=-3, c=-28

a) The value at the top of the X diagram is the product a·c = 1·(-28) = -28.

The value at the bottom of the X diagram is the coefficient b = -3.

The values on the sides of the diagram are the factors of -28 that add up to make -3. These are -7 and 4. That is, ...

(-7)·(4) = -28

(-7)+(4) = -3

b) Since the two values on the sides of the diagram add up to give "b", the value of "b" in the equation can be rewritten as the sum of these two numbers. Doing that, we have ...

... x² -3x -28

... = x² +(-7+4)x -28

... = x² -7x +4x -28 . . . . . . order does not matter. It could also be x² +4x -7x -28

c) We can group pairs of terms in the rewritten expression and factor each pair.

... = (x² -7x) +(4x -28) . . . . . first pair has a common factor of x; second pair, 4

... = x(x -7) +4(x -7) . . . . . . . these terms now have a common factor: (x -7)

... = (x +4)(x -7) . . . . . . . . . . the complete factorization of x² -3x -28

3 0
3 years ago
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