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Orlov [11]
4 years ago
5

The question in the image.

Mathematics
1 answer:
GREYUIT [131]4 years ago
6 0

Answer:

500 boxes

Step-by-step explanation:

<em>hey there,</em>

<em />

< Since "p" stands for profits, change "p" to 0 (since the question says 0 profits).

Here is how your equation would look like:

0 = -n^2 + 300n + 100000

Pretend like "n" is "x" since that is the variable we are trying to find here.

Solve for "n". Move all terms to the left side and set equal to zero. Then set each factor equal to zero.

"n" actually ends up equaling 500, -200.

Obviously, negative can't be the answer because you can't have a negative amount of boxes. So 500 boxes would be your answer. 200 CAN'T be your answer <em>either </em>because it is a negative!! >

<u>Hope this helped! Feel free to ask anything else.</u>

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2y = 4x + 12
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(4, -4)
x = 4
y = -4

-4 = 2*4 + b
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so an equation is:
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A company has determined that when x hundred dulcimers are​ built, the average cost per dulcimer can be estimated by ​C(x)=0.2x^
damaskus [11]

Answer:

The minimum average cost per dulcimer is 150 and the minimum cost is $180.

Step-by-step explanation:

The given cost function is

C(x)=0.2x^2-0.6x+2.250

Differentiate the function C(x) with respect to x.

C'(x)=0.2(2x)-0.6(1)+(0)

C'(x)=0.4x-0.6

Equate C'(x)=0, to find the critical values.

C'(x)=0

0.4x-0.6=0

0.4x=0.6

Divide both sides by 0.4.

x=\frac{0.6}{0.4}

x=1.5

Differentiate the function C'(x) with respect to x.

C''(x)=0.4(1)

C''(x)=0.4

At x=1.5

C''(1.5)=0.4

The value of double derivative is positive. It means the function is minimum  at x=1.5 hundred.

1.5 hundred = 150

Substitute x=1.5 in the given function to find the minimum average cost.

C(1.5)=0.2(1.5)^2-0.6(1.5)+2.250

C(1.5)=1.8

The minimum cost is 1.8 hundred dollars.

1.8 hundred dollars = $180

Therefore, the minimum average cost per dulcimer is 150 and the minimum cost is $180.

8 0
3 years ago
Read 2 more answers
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