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3 years ago

14.4% of what number is 10.4

1 answer:

8 0

First, convert "of" to x and put this info into an equation:

Let n represent the unknown number.

14.4 % x n= 10.4
n = 10.4 / 14.4%
n = 72.22222
n = ~72

Hope this helps!

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Nitella [24]

Since profit can't be negative, the production level that'll maximize profit is approximately equal to 220.

<h3>How to find the production level that'll maximize profit?</h3>

The cost function, C(x) is given by 12000 + 400x − 2.6x² + 0.004x³ while the demand function, P(x) is given by 1600 − 8x.

Next, we would differentiate the cost function, C(x) to derive the marginal cost:

C(x) = 12000 + 400x − 2.6x² + 0.004x³

C'(x) = 400 − 5.2x + 0.012x².

Also, revenue, R(x) = x × P(x)

Revenue, R(x) = x(1600 − 8x)

Revenue, R(x) = 1600x − 8x²

Next, we would differentiate the revenue function to derive the marginal revenue:

R'(x) = 1600 - 8x

At maximum profit, the marginal revenue is equal to the marginal cost:

1600 - 8x = 400 − 5.2x + 0.012x

1600 - 8x - 400 + 5.2x - 0.012x² = 0

1200 - 2.8x - 0.012x² = 0

0.012x² + 2.8x - 1200 = 0

Solving by using the quadratic equation, we have:

x = 220.40 or x = -453.73.

Since profit can't be negative, the production level that'll maximize profit is approximately equal to 220.

Read more on maximized profit here: brainly.com/question/13800671

#SPJ1

6 0

2 years ago

Graph f (x) = -.25x + 4

Charra [1.4K]

Answer:

what is the question.

I am not understand.

please thanks and follow me.

8 0

2 years ago

A triangle has a base of 4/5 of a yard and a height of 2/3 of a yard. What is the area of this triangle?

Elena-2011 [213]

Answer:

8/15

Step-by-step explanation:

4/5 times 2/3

4 0

3 years ago

Morgan's electronic car has a speed of 35.2 feet per second. How fast can the car travel in miles per hour?

ale4655 [162]

Answer:

2112 minutes OR 126720 Seconds

Step-by-step explanation:

35.2 = 1

? = 3600

I hope this helps

7 0

3 years ago

How many ways can 5 people be arranged in a line?

Rasek [7]

Answer: 120 ways

Step-by-step explanation: In this problem, we're asked how many ways can 5 people be arranged in a line.

Let's start by drawing 5 blanks to represent the 5 different positions in the line.

Now, we know that 5 different people can fill the spot in the first position. However, once the first position is filled, only 4 people can fill the second spot and once the second spot is filled, only 3 people can fill the third spot and so on. So we have 5 4 3 2 1.

Now, based on the counting principle, there are 5 x 4 x 3 x 2 x 1 ways for all 5 spots to be filled.

5 x 4 is 20, 20 x 3 is 60, 60 x 2 is 120, and 120 x 1 is 120.

So there are 120 ways for all 5 spots to be filled which means that there are 120 ways that 5 people can be arranged in a line.

I have also shown my work on the whiteboard in the image attached.

7 0

3 years ago