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3 years ago

A ruler costs pence.

Mathematics

1 answer:

Katarina [22]3 years ago

8 0

Answer:

2x+3(10+x)

Step-by-step explanation:

I'm not sure but I think this might be the answer

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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

A company produces and sells CDs. There is a fixed cost of $2000 and $5 per CD manufactured. The manufacturer sells each CD for

OlgaM077 [116]

Call the production cost 'C', the revenue 'R' and the number of CDs 'n':

C=2000+5n
R=10n
By definition Profit P = R-C, therefore P=10n-2000+5n = 5n-2000.

7 0

3 years ago

Which number produces a rational number when added to 1/2

JulijaS [17]

Answer:

C. 0.314.

Step-by-step explanation:

1/2 is rational. The answer is another rational number.

The only rational number in the list is 0.314.

3 0

3 years ago

Read 2 more answers

1. Martin can pour a concrete walkway in 6 hours working alone. Victor has

Bond [772]

Answer:

2.4 hr. = time working together

Step-by-step explanation:

Let x = time working together

x/6 = work done by Martin

x/4 = work done by Victor

Martin's part + Victor's part = 1 jog done

x/6 + x/4 = 1 Multiply thru by 12

2x + 3x = 12

5x = 12

x = 2.4 hr.

6 0

3 years ago

1/8 +c= 4/5 what does c equal

Ray Of Light [21]

Answer:

c=27/40 = 0.675

Step-by-step explanation:

the statement give us the expression:

1/8 +c= 4/5

we subtract the term "1/8" both sides:

we have:

1/8 -1/8+c= 4/5-1/8

c=4/5-1/8

c=(4*8)-(5*1)/(5*8)

c=(32-5)/(40)

c =27/40 = 0.675

7 0

3 years ago