2. Suppose the revenue R in thousands of dollars that a company receives from producing x thousand DVD players is given by the formula R(x) x(40 -2x). a. Evaluate R(2) and interpret the result. b. How many DVD players should the company produce to maximize its revenue? What is the maximum revenue?

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A: Given P(x) = 35x - 0.25x2 → 1For maximum profit put P'(x) = 0⇒ P'(x) = 35 - 0.25(2x)⇒ P'(x) = 35 -…

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A: (a) Differentiate the function Rx. R'x=-21.52x+516=-43x+516

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Q: 4. Given the function y = (3 - 2x²)/(1- x -2x?), (a) Find the difference quotient Ду/Дх.

A: Topic:- Difference quotient

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A: For maxima, [double derivative of  s(t)]<0.

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A: For y intercept put x=0 in given equation.

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A: We will find the answers to each part as following.

Q: Suppose the revenue R in thousands of dollars that a company receives from producing x thousand…

A: Solution

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A: Givenf(x) = -49x2+249x+12here, a = -49 , b = 249this is downward opening parabola.

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A: Observe the graph and select the values of x for which curve is above the x - Axis.

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A: Given that

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A: for maximize profit put p'(x)=0.

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Q: ²+6x +8 a. f(x) : x + 2

A: I am attaching image so that you understand each and every step.

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Q: 9. Consider the function h(x) = 5/12 – 3x2. (a) For what values of x is the quadratic function f(x)…

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Q: 2. How many, and what type, of solutions exist for the function f(x) = x - 3x- 27x + 19x² +114x-72?

A: Given: f(x)=x5-3x4-27x3+19x2+114x-72

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Q: 3. The fuel used by a car is defined by f(x)=3x=/80-6x+245. where x is the travelling speed in km/h.…

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Q: A tour operator believes that the profit P, in dollars, from selling x tickets is given by P(x) =…

A: Given equation is :   P(x)=45*x-0.25*x2 We know , for a parabola  f(x)=a*x2+b*x+c , the coordinates…

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A: To find the point on the graph f(x)=4-x2 that is closest to the point (0,1)

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Q: Suppose the revenue function of a monopolist is given by the function π(P) = 5 − 2P² + 10P. - Find…

A: Let's find maximum monopolist's revenue.

Q: Find the value of x for which the value of the function f(x) = x + 3x2 - 2 is minimum? Answer.

A:

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Q: The number of photo copies distributed is given by C = 50t² - 200t + 10000, where t is in years.…

A: Here, C=50t2-200t+10,000