Solve the Problem $p$ And $x$ , the Quantity of a Certain Product Sold, Obey the Quantity

question 194

Essay

Solve the problem.
-The price $p$ and $x$ , 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:

Missouri

A U.S. state located in the Midwestern region, known for its diverse geography, ranging from the Ozark Mountains to the Mississippi River.

Statehood

The condition of being recognized as an independent nation or the admission of a territory into a federation or union as a state.

Slavery

A system in which individuals are owned by others, denied freedom, and forced to work without compensation.

Balance of Power

is a diplomatic theory aiming to prevent any one nation or alliance from becoming too strong by maintaining equally distributed military and economic power among countries or groups of countries.