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3 years ago

Help plz

2 answers:

8 0

A) V * (2/5) = I
B) V = I + 42

Substituting A into B
V = (2/5) V + 42
3/5 V = 42
Victor has 70 tools
Ilya has 28 tools

together they have 98 tools

WINSTONCH [101]3 years ago

8 0

Answer:

They have 98 tools together

Step-by-step explanation:

We are going to call x the number of tools Ilya has.

If Victor has 42 more tools than Ilya, then he has x + 42 tools.

But we know that the ratio of Victor's tools to Ilya's is 5:2, so the actual number of tools they have must satisfy this radio.

If we write this last paragraph in an equation and solve for x we would get: $\frac{5}{2} =\frac{x+42}{x} \\5x=2(x+42)\\5x=2x+84\\5x-2x=84\\3x=84\\x=28$

Therefore Ilya has 28 tools and Victor has x+42 = 28 + 42 = 70 tools. And together they have:

70 + 28 = 98 tools.

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Answer:

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

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Step-by-step explanation:

Part A

Price Function $= 580 - 10x$

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(Fixed Cost)

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

We expand the expression

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

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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$

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