2. Suppose the revenue R in thousands of dollars that a company receives from producing xthousand 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 isthe maximum revenue?

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Asked Feb 13, 2019
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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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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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Expert Answer

Step 1

The problem involves the revenue function and its graph (a parabola). Note that the units x and R(x) are in thousands .

Step 2

(Taking into account the units ) R(2) =$72000 is interpreted as the revenue generated when 2000 units are produced.

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Step 3

To determine the maximum revenue , note that the equation R(x)=x(40-2x)=-2x^2+40x represents...

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