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2 years ago

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How many DVDs. A small independent movie company determines the profit P for producing n DVD copies of a recent release is P = −

0.02n2 + 3.40n − 16. P is the profit in thousands of dollars and n is in thousands of units.
a. How many DVDs should the company produce to maximize the profit?

should the company produce to maximize the profit?

1 answer:

Softa [21]2 years ago

7 0

The company should produce "85" DVD's to maximize the profit.

According to the question,

The profit P for producing n DVD copies are

$P=-0.02n^2+3.4n -16$

Let,

The number of units be "n".

Now,

To find the minimize profit,

→ $P'(n) = 0$

→ $-0.04n+3.4=0$

By substracting "3.4" from both the sides, we get

→ $-0.04n+3.4-3.4=-3.4$

→ $-0.04n = -3.4$

→ $n = \frac{-3.4}{-0.04}$

→ $n = 85$

Thus the answer above is right.

Learn more:

brainly.com/question/20862980

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Which of the following functions is graphed below?

balandron [24]

Answer:A

Step-by-step explanation:

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3 years ago

Two companies, A and B, package snack-size bags of cashews. Let X represent the weight of the packages from company A, and let Y

Vitek1552 [10]

The answer choice that correctly calculates and interprets the standard deviation of the sum, S = X + Y is D. Sigma Subscript s = 0.8; companies A and B can expect the total weight of packages to vary by approximately 0.8 ounces from the mean.

<h3>What does the standard deviation means?</h3>

A standard deviation means the all measure of how dispersed the data is in relation to the mean. It should be noted that low standard deviation means that the data are clustered around the mean, and the high standard deviation means that the data are more spread out.

In this case, the answer choice that correctly calculates and interprets the standard deviation of the sum, S = X + Y is the sigma Subscript s = 0.8; companies A and B can expect the total weight of packages to vary by approximately 0.8 ounces from the mean.

In conclusion, the correct option is D.

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8 0

1 year ago

Three times a number, less twice the number and 9 is 17. What is the number?

Harlamova29_29 [7]

I believe your answer is 8.

Three times a number less than twice the number and nine is seventeen can be written as: 3n - 2n + 9 = 17

Solve for n as follows:

3n - 2n = n

n + 9 = 17

17 - 9 = 8

Hope this helps! :)

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3 years ago

D/d{cosec^-1(1+x²/2x)} is equal to

SIZIF [17.4K]

Step-by-step explanation:

$\large\underline{\sf{Solution-}}$

$\rm :\longmapsto\:\dfrac{d}{dx} {cosec}^{ - 1} \bigg( \dfrac{1 + {x}^{2} }{2x} \bigg)$

Let assume that

$\rm :\longmapsto\:y = {cosec}^{ - 1} \bigg( \dfrac{1 + {x}^{2} }{2x} \bigg)$

We know,

$\boxed{\tt{ {cosec}^{ - 1}x = {sin}^{ - 1}\bigg( \dfrac{1}{x} \bigg)}}$

So, using this, we get

$\rm :\longmapsto\:y = sin^{ - 1} \bigg( \dfrac{2x}{1 + {x}^{2} } \bigg)$

Now, we use Method of Substitution, So we substitute

$\red{\rm :\longmapsto\:x = tanz \: \rm\implies \:z = {tan}^{ - 1}x}$

So, above expression can be rewritten as

$\rm :\longmapsto\:y = sin^{ - 1} \bigg( \dfrac{2tanz}{1 + {tan}^{2} z} \bigg)$

$\rm :\longmapsto\:y = sin^{ - 1} \bigg( sin2z \bigg)$

$\rm\implies \:y = 2z$

$\bf\implies \:y = 2 {tan}^{ - 1}x$

So,

$\bf\implies \: {cosec}^{ - 1}\bigg( \dfrac{1 + {x}^{2} }{2x} \bigg) = 2 {tan}^{ - 1}x$

Thus,

$\rm :\longmapsto\:\dfrac{d}{dx} {cosec}^{ - 1} \bigg( \dfrac{1 + {x}^{2} }{2x} \bigg)$

$\rm \: = \: \dfrac{d}{dx}(2 {tan}^{ - 1}x)$

$\rm \: = \: 2 \: \dfrac{d}{dx}( {tan}^{ - 1}x)$

$\rm \: = \: 2 \times \dfrac{1}{1 + {x}^{2} }$

$\rm \: = \: \dfrac{2}{1 + {x}^{2} }$

<u>Hence, </u>

$\purple{\rm :\longmapsto\:\boxed{\tt{ \dfrac{d}{dx} {cosec}^{ - 1} \bigg( \dfrac{1 + {x}^{2} }{2x} \bigg) = \frac{2}{1 + {x}^{2} }}}}$

<u>Hence, Option (d) is </u><u>correct.</u>

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2 years ago

Can somebody help me please with percent increases

Leviafan [203]

I can what do you need

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3 years ago