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3 years ago

Select the correct answer.

Mathematics

1 answer:

77julia77 [94]3 years ago

4 0

I’m pretty
Shore it’s b

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Ilia_Sergeevich [38]

Answer:

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6 0

3 years ago

Read 2 more answers

the first week she earned 3 times as much as she earned the second week.The second week she earned twice as much as she earned t

ser-zykov [4K]

$6.

You can get this by dividing the original number by 3 and then the new answer by 2.

5 0

3 years ago

QUESTION 3 [10 MARKS] A bakery finds that the price they can sell cakes is given by the function p = 580 − 10x where x is the nu

Harman [31]

Answer:

(a)Revenue function, $R(x)=580x-x^2$

Marginal Revenue function, R'(x)=580-2x

(b)Fixed cost =900 .

Marginal Cost Function=300+50x

(c)Profit, $P(x)=-35x^2+280x-900$

(d)x=4

Step-by-step explanation:

Part A

Price Function $= 580 - 10x$

The revenue function

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

The marginal revenue function

$\dfrac{dR}{dx}= \dfrac{d}{dx}(R(x))=\dfrac{d}{dx}(580x-x^2)=580-2x\\R'(x)=580-2x$

Part B

(Fixed Cost)

The total cost function of the company is given by $c=(30+5x)^2$

We expand the expression

$(30+5x)^2=(30+5x)(30+5x)=900+300x+25x^2$

Therefore, the fixed cost is 900 .

Marginal Cost Function

If $c=900+300x+25x^2$

Marginal Cost Function, $\frac{dc}{dx}= (900+300x+25x^2)'=300+50x$

Part C

Profit Function

Profit=Revenue -Total cost

$580x-10x^2-(900+300x+25x^2)\\580x-10x^2-900-300x-25x^2\\$Profit,P(x)=-35x^2+280x-900$

Part D

To maximize profit, we find the derivative of the profit function, equate it to zero and solve for x.

$P(x)=-35x^2+280x-900\\P'(x)=-70x+280\\-70x+280=0\\-70x=-280\\$Divide both sides by -70\\x=4$

The number of cakes that maximizes profit is 4.

6 0

3 years ago

During a sale all pillows are 1/4 of th regular price write an expression that represents the amount of money saved on a pillow

grin007 [14]

D(1-1/4)
=3/4d
3/4d represents the money saved on a pillow

3 0

3 years ago

a rectangular prism measures 3 in by 8 in by 9 in. what is the side length of a cube with the same volume?

Novay_Z [31]

Answer:

6 in.

Step-by-step explanation:

Rectangular prism

V = lwh l = 8 W = 3 h = 9

= 8(3)(9)

= 216

Cube

$V = s^{3}$ where s = length of side

216 = $s^{3}$

$s = \sqrt[3]{216}$ = 6

4 0

3 years ago