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3 years ago

Jose worked 2.5 hours more than William. together they worked a total of 22 hours. William worked h hours

Mathematics

1 answer:

nataly862011 [7]3 years ago

4 0

I believe that the answer you're looking for is B. h+(h+2.5)=22.

h+(h+2.5)=22

h+h+2.5=22

Combine like terms.

2h+2.5=22

Subtract 2.5 from both sides.

2h=19.5

Divide both sides by 2.

h=9.75

Now let's check the work by plugging 9.75 into the equation.

9.75+(9.75+2.5)=22

9.75+9.75+2.5=22

22=22

So we now see that the answer choice <u>B.</u> Is correct! And William worked 9.75 hours. I hope that you found this helpful!

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Answer:

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Step-by-step explanation:

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4 years ago

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4 years ago

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,

$x+y \leq 12$

$5x+y \leq 20\\x \geq 0\\y \geq 0$

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.

8 0

3 years ago