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Valentin [98]
3 years ago
13

Select the best answer for the question.

Mathematics
1 answer:
Alenkinab [10]3 years ago
3 0

Answer:

C, as you go more left that's where the zero is and the negatives are.

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If
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
Factor Completely<br><br> 2x²-4x+6
vagabundo [1.1K]


okay well usually what I would tell you would be to use the ABC method. you would multiply A (2) by C (6) to get twelve. so you need two numbers that multiply to twelve and add to -4 (the B value). but there are no numbers that fit this description so you have to use the GCF method instead

for this method you must find the GCF for all three numbers which in this case is 2.        2(x^2-2x+3) all these numbers are now prime so this is the factored form

7 0
3 years ago
For a tax rate of 8.25%, find the amount of tax that will be paid on an automobile tube-up costing $76. Find the total price of
dedylja [7]
76(1.0825) is 82.27. I hope this helps have a wonderful night!
6 0
3 years ago
Find a101 of the sequence 5,8,11,
guajiro [1.7K]

Answer:

305

Step-by-step explanation:

This sequence es the sum of 3

5+3 =8

8+3 = 11

then

101 = 100 + 1

the fisrt date is 5

the another 100:

100*3 = 300

300 + 5 = 305

3 0
3 years ago
How can you use the backward problem-solving strategy to solve a two-step equation
neonofarm [45]
Let's use the equation 5x - 20 = 10 as an example for this.

To work backwards from this, you would add the same amount to each side.

You want to isolate the 5x so that you can solve for x.

To do that, you would add 20.

But again, you must add and subtract the same amount to both sides.

So it would look a bit like this:

5x - 20 + 20 = 10 + 20

That would simplify to 5x = 30, or in other words, x = 6.

Basically, you isolate the multiple of the variable then divide the answer to the equation from that multiple.

In the example, 5 is the multiple and after isolating it, the answer was 30.

30 ÷ 5 = 6

x = 6

Hope this helps :)
5 0
3 years ago
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