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Maurinko [17]
3 years ago
7

What is the solution to the inequality shown below?

Mathematics
1 answer:
lesantik [10]3 years ago
8 0

To solve the inequality, you need to isolate/get the variable "p" by itself in the inequality:

5p + 26 < 72           Subtract 26 on both sides

5p + 26 - 26 < 72 - 26

5p < 46      Divide 5 on both sides to get "p" by itself

\frac{5p}{5}

p

p < 9.2       Your answer is A

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What is the maximum value of the objective function, P, with the given constraints?
maksim [4K]

Answer:

Option C - 420

Step-by-step explanation:

Given : Objective function, P, with the given constraints

P=20x+35y

Constraints,

x+y \leq 12

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To find : What is the maximum value

Solution :

First we plot the graph through the given constrains.

As they all move towards the origin the common region of the equations is given by the points (0,0), (0,12), (2,10), (4,0)

Refer the attached figure.

So, we put all the points in P to, get maximum value.

P=20x+35y

  • Point (0,0)

P=20(0)+35(0)=0

P=20x+35y

  • Point (0,12)

P=20(0)+35(12)=420

  • Point (2,10)

P=20(2)+35(10)=40+350=390

  • Point (4,0)

P=20(4)+35(0)=80

Therefore, The value is maximum 420 at (0,12)

So, Option C is correct.

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