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3 years ago

Plz help can anybody solve this only one question

Mathematics

1 answer:

stiks02 [169]3 years ago

5 0

Step-by-step explanation:

Angle:2x+30+3x=180

Angle:2x+b+2b=180( Being in straight line)

Angle:30+3x+a=180

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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

State what additional information is required in order to know that the triangles are congruent

AleksandrR [38]

17 && 19 are both congruent.

5 0

2 years ago

Simon has a scale model of the Concorde airplane. The actual length of the Concorde is approximately 200 feet. If the ratio of t

Verizon [17]

The answer is: "40 cm " .
_________________________________________________________
Note:
_________________________________________________________

$\frac{200 ft }{ (x) cm} = \frac{5}{1}$ ;

Solve for "x" (in "cm" ) ;

→ 5x = 200 * 1 ;

→ 5x = 200 ;

Divide each side of the equation by "5" ;
to isolate "x" on one side of the equation; & to solve for "x" ;

→ 5x / 5 = 200 / 5 ;

to get:

→ x = 40 .
___________________________________________________________
The answer is: " 40 cm " .
___________________________________________________________

6 0

3 years ago

Read 2 more answers

I need help with this question? Please and thank you!!!! #15

4vir4ik [10]

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7 0

3 years ago

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Construct parallelogram PQRS with |PQ|=10cm, |ps|=8cm and <QPS = 120

IgorC [24]

Find sketch of parallelogram attached

Answer and explanation:

A parallelogram is a quadrilateral which is wider than it is long. A parallelogram has two sides parallel to the other. From the above, we are told the parallelogram PQRS has an angle QPS 120, with sides 10cm and 8cm, we use this to sketch the parallelogram

We find that angle QPS is 120 degrees hence angle RSP is 60 degrees since angle on straight line is 60 degrees from 180-120 in angle QPS and alternate angles are equal. Also opposite angles of a parallelogram are equal

4 0

3 years ago

Plz help can anybody solve this only one question​

Plz help can anybody solve this only one question