Solve the Problem $$C ( x ) = 2 x ^ { 2 } - 24 x + 540,$$

question 218

Multiple Choice

Solve the problem.
-The owner of a video store has determined that the cost function, in dollars, of operating the store, is approximately given byen by $$C ( x ) = 2 x ^ { 2 } - 24 x + 540,$$ where x is the number of videos rented daily. Find the lowest
Cost to the nearest dollar.

• A)$396
• B)$468
• C)$252
• D)$612

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Definitions:

Break-even Point

The point at which total costs and total revenue are equal, meaning no profit is made but losses are recovered.

Sales Mix

The combination of different products or services that a company sells, often analyzed to understand its impact on overall sales and profitability.

Contribution Margin

The difference between the sales revenue of a company and its variable costs.

Break-even Sales

Break-even sales refer to the amount of revenue required to cover all fixed and variable costs, resulting in zero profit or loss.