All of the following equations are equivalent except? -5 (x - 1 ), -5x + 5, 5

A bakery finds that the price they can sell cakes is given by the function p = 580 − 10x where x is the number of cakes sold per

dexar [7]

Answer:

The total revenue is $TR=580x-10x^2$ .

The marginal revenue is $MR=580-20x$ .

The fixed cost is $900.

The marginal cost function is $MC=50x+300$ .

Step-by-step explanation:

The Total Revenue ( $TR$ ) received from the sale of $x$ goods at price $p$ is given by

$TR=p\cdot x$

The Marginal Revenue ( $MR$ ) is the derivative of total revenue with respect to demand and is given by

$MR=\frac{d(TR)}{dx}$

From the information given we know that the price they can sell cakes is given by the function $p=580-10x$ , where $x$ is the number of cakes sold per day.

So, the total revenue is

$TR=(580-10x)\cdot x\\TR=580x-10x^2$

And the marginal revenue is

$MR=\frac{d}{dx}(580x-10x^2) \\\\\mathrm{Apply\:the\:Sum/Difference\:Rule}:\quad \left(f\pm g\right)'=f\:'\pm g'\\\\MR=\frac{d}{dx}\left(580x\right)-\frac{d}{dx}\left(10x^2\right)\\\\MR=580-20x$

The Fixed Cost ( $FC$ ) is the amount of money you have to spend regardless of how many items you produce.

The Marginal Cost ( $MC$ ) function is the derivative of the cost function and is given by

$MC=\frac{d(TC)}{dx}$

We know that the total cost function of the company is given by $C=(30+5x)^2$ , which it is equal to

$\mathrm{Apply\:Perfect\:Square\:Formula}:\quad \left(a+b\right)^2=a^2+2ab+b^2\\a=30,\:\:b=5x\\\\\left(30+5x\right)^2=30^2+2\cdot \:30\cdot \:5x+\left(5x\right)^2=25x^2+300x+900\\\\C=25x^2+300x+900$

From the total cost function and applying the definition of fixed cost, the fixed cost is $900.

And the marginal cost function is

$MC=\frac{d}{\:dx}\left(25x^2+300x+900\right)\\\\MC=\frac{d}{dx}\left(25x^2\right)+\frac{d}{dx}\left(300x\right)+\frac{d}{dx}\left(900\right)\\\\MC=50x+300+0=50x+300$

4 0

3 years ago

What is a good source to train numerical reasoning?

LenKa [72]

Numerical reasoning tests are often done to assess a person's ability to solve or interpret numerical data. A good source to train numerical reasoning is the use of computer education software's that deals with numerical data, the use of textbooks, self test etc.

<h3>What is done in Numerical reasoning tests?</h3>

Here, an individual is often required to analyze numerical data and then they are expected to draw conclusions from the data, which is often presented in tabular or graphical forms.

A person can improve their numerical reasoning by;

Constant Practice

Do make a study schedule and keep to it.
Do Practice as if you are going for a competition, etc.

A way that a person can improve their speed in an numerical test is to reduce the time it takes a person to take in the information that is shown in the numerical reasoning questions.

Learn more about numerical reasoning from

brainly.com/question/251701

6 0

2 years ago

Bruce bought two books one book cost $4.00 more than three times the other . Together, the two books cost him $72

VikaD [51]

One is $12 the other is $72

7 0

3 years ago

If f x = 7x<br><br> 2 − 4x − 10, then f −3 =?

Schach [20]

Answer:

f(x)=xy3 -4xy2 -7x+10

Step-by-step explanation:

the xy3 and xy2 means x to the 3rd power and x to the second power

7 0

3 years ago

Show what you know: work out the problems below and submit a photo of your work to receive full credit.

Alexxandr [17]

The model for representing the ratio of the number of orange and green rolls are $\dfrac{3}{2}$ .

A model that shows the number of orange and green streamers needed to decorate 3 dorm rooms will be 3O=2G

<h3>What is ratio?</h3>

The ratio is defined as the representation of the one number with respect to the other number. or one number is how many times to the other number.

A model that represents the ratio of different colored streamers.

$\dfrac{O}{G}=\dfrac{3}{2}$

A model that shows the number of orange and green streamers needed to decorate 3 dorm rooms.

D=3O and D=2G

3O=2G

Hence the models are $\dfrac{O}{G}=\dfrac{3}{2}$ and 3O=2G.

To know more about Ratios follow

brainly.com/question/4931057

#SPJ1

6 0

1 year ago

All of the following equations are equivalent except? -5 (x - 1 ), -5x + 5, 5 - 5x, (5-5) x