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Sidana [21]
3 years ago
8

Basics test part one

Mathematics
1 answer:
GarryVolchara [31]3 years ago
6 0
Wait so what is the point of this question?
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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
HELP? can anyone help? I’ll give Brainly the answer is not 3,240... thank you!
Anna35 [415]

9514 1404 393

Answer:

  $3144

Step-by-step explanation:

The tax due on $60,000 is ...

  $60,000 × 5.4% - $96 = $3144 . . . tax due

_____

The detailed calculation is described at brainly.com/question/23711444. The only difference is the value used in the highest bracket, $60,000 instead of $50,000. This adds $540 to the tax that would be due for $50,000.

6 0
3 years ago
If s = 1 over 4 unit and A = 80s2, what is the value of A, in square units? square unit(s). (Input whole number only.) (1 point)
9966 [12]

Answer:

7

Step-by-step explanation:

3 0
3 years ago
Liam puts $2000 in the bank with a 3% annual interest rate compounded annually. if Liam does not touch his money how much money
inna [77]
D.  He will have $2,121.80.

After one year at 3% interst, $2000 becomes $2000 x 1.03 = $2,060.
During the second year, that $2060 x 1.03 becomes $2121.80
8 0
3 years ago
Read 2 more answers
What values of x makes the expression (x-6)(x+3) positive?​
Georgia [21]

Answer:

This means that for (x-6)(x+3) to be positive, the value of x has to be greater than 6; x>6

Step-by-step explanation:

Step 1

Given the equation;

(x-6)(x+3)

Step 2

To determine the values of x that make the equation positive, the equation can be expressed as;

(x-6)(x+3)>0

x-6>0/(x+3)

x-6>0

x>0+6

x>6

This means that for (x-6)(x+3) to be positive, the value of x has to be greater than 6; x>6

4 0
3 years ago
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