Write the Word or Phrase That Best Completes Each Statement $\mathrm { p }$

question 203

Essay

Write the word or phrase that best completes each statement or answers the question.
-The price $\mathrm { p }$ and $\mathrm { x }$ , the quantity of a certain product sold, obey the demand equation
$$p = - \frac { 1 } { 10 } x + 100 , \{ x \mid 0 \leq x \leq 1000 \}$$
a) Express the revenue $R$ as a function of $x$ .
b) What is the revenue if 450 units are sold?
c) Graph the revenue function using a graphing utility.
d) What quantity $x$ maximizes revenue? What is the maximum revenue?
e) What price should the company charge to maximize revenue?

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Definitions:

Capital Gain Distributions

Payments made to investors of profits from the sale of securities within a portfolio, often associated with mutual funds.

Rate of Return

The gain or loss on an investment over a specified time period, expressed as a percentage of the investment's initial cost.

Dividend Income Distributions

Payments made by a corporation to its shareholders, typically derived from the company's earnings.

Capital Gains

Capital gains are the profit earned from the sale of an asset, such as stock or real estate, which has increased in value over the holding period.