Solve the Problem $$P ( x ) = - 0.002 x ^ { 2 } + 1.6 x - 350$$

question 13

Multiple Choice

Solve the problem.
-The profit that the vendor makes per day by selling x pretzels is given by the function $$P ( x ) = - 0.002 x ^ { 2 } + 1.6 x - 350$$ Find the number of pretzels that must be sold to maximize profit.

• A) 0.8 pretzels
• B) -30 pretzels
• C) 800 pretzels
• D) 400 pretzels

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Definitions:

Contribution Margin

The amount of revenue remaining after deducting variable costs, used to cover fixed costs and contribute to profit.

Variable Expenses

Expenditures that fluctuate in alignment with the quantity of production or sales figures, like labor costs and materials used.

Traceable Fixed Expenses

Fixed expenses that can be directly linked to a specific segment of a business and would disappear if the segment did not exist.

Contribution Margin

The difference between the sales revenue of a product and its variable costs, indicating how much contributes to covering fixed costs and generating profit.