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ahrayia [7]
3 years ago
5

A triangular pennant has two sides that are 90 cm long each with an included angle of 25°.

Mathematics
1 answer:
marissa [1.9K]3 years ago
3 0
The area will be given by the formula
A=1/2ab sin θ
thus 
A=1/2 ×90×90sin 25
A=1,711.604 cm²²
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Step-by-step explanation:

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Answer:

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

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Step-by-step explanation:

<u>Part A </u>

Price Function= 580 - 10x

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

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

<u>Part B </u>

<u>(Fixed Cost)</u>

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

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<u> Marginal Cost Function</u>

If  c=900+300x+25x^2

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

<u>Part C </u>

<u>Profit Function </u>

Profit=Revenue -Total cost

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<u> Part D </u>

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