Use a Graphing Utility to Graph the Function and Then $P = - x ^ { 2 } + 54 x + 73$

question 77

Multiple Choice

Use a graphing utility to graph the function and then answer the question.
-John owns a hotdog stand. He has found that his profit is represented by the equation $P = - x ^ { 2 } + 54 x + 73$ , with P being profits and x the number of hotdogs. How many hotdogs must he sell to earn the most profit?

• A) 46 hotdogs
• B) 27 hotdogs
• C) 28 hotdogs
• D) 23 hotdogs

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Definitions:

Break-Even Point

The point at which total revenues equal total costs, and the business makes neither profit nor loss.

Fixed Expenses

A repackaged definition of fixed costs emphasizing their nature as constant across different levels of output or sales.

Selling Price

The amount of money charged to the buyer for a product or service.

Net Income

The total profit of a company after all expenses and taxes have been deducted from revenue, indicating the company's bottom line.