Solve the Problem $c ( x ) = 3 x ^ { 3 } - 26 x ^ { 2 } + 7664 x$

question 163

Multiple Choice

Solve the problem.
-Suppose that $c ( x ) = 3 x ^ { 3 } - 26 x ^ { 2 } + 7664 x$ is the cost of manufacturing $x$ items. Find a production level that will minimize the average cost of making $x$ items.

• A) 7664 items
• B) -79 items
• C) 97 items
• D) There is not a production level that will minimize average cost.

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Definitions:

Bonus Money

Additional income given over and above the usual compensation, often as a reward for performance.

Ratio

A relationship between two numbers indicating how many times the first number contains the second.

Wins to Losses

A ratio comparing the number of wins to the number of losses, often used in sports or other competitive situations to measure performance.

Maintain Ratio

The requirement to keep a consistent ratio, often used in the context of financial ratios by firms to ensure stability or compliance with regulations.