Solve the Problem $$R ( p ) = - 5 p ^ { 2 } + 1590 p$$

question 8

Multiple Choice

Solve the problem.
-The manufacturer of a CD player has found that the revenue R (in dollars) is $$R ( p ) = - 5 p ^ { 2 } + 1590 p$$ when the unit price is p dollars. If the manufacturer sets the price p to maximize revenue, what is the maximum revenue to the nearest whole dollar?

• A)$252,810
• B)$1,011,240
• C)$505,620
• D)$126,405

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Definitions:

Profitability

A measure of the efficiency and financial success of a company, usually determined by the ratio of its profits to its revenues.

Controllable Costs

Expenses that can be managed or influenced by decisions made by a company's management.

Noncontrollable Costs

Costs that cannot be influenced or altered by the actions of a manager or business unit, often determined by external factors.

Variable Costs

Costs that change in proportion to the level of goods or services that a business produces, such as raw materials and labor expenses.