Solve the Problem $p = 40 - \sqrt { 0.0001 x + 2 },$

question 202

Multiple Choice

Solve the problem.
-A publisher determines that how many books they sell depends on the price of the book. The demand function representing this isrepresenting this is $p = 40 - \sqrt { 0.0001 x + 2 },$ where p represents the price per book in dollars, and x represents the
Number of books sold. If the publisher wants to sell 8,000,000 copies of the book, what price must they charge?

• A)$30.94
• B)$11.68
• C)$68.32
• D)-$242.85

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Definitions:

Margin of Safety

The difference between actual or projected sales and the break-even point, indicating the buffer amount that sales can decrease before reaching a loss.

Break-even Sales

The amount of revenue required to cover all fixed and variable costs, resulting in neither profit nor loss.

Sales

The total revenue generated from goods or services sold by a company within a specific period.

Break-even Point

The point at which total costs and total revenues are equal, meaning no net loss or gain is incurred.