The Cost Associated with Storing $x$ Units of a Certain Product Is Given by the Function

question 115

Essay

The cost associated with storing $x$ units of a certain product is given by the function $C ( x ) = 0.8 x ^ { 2 } - 12.8 x + 2600$ where $C$ is measured in of dollars and $x$ in hundreds of units.
(a) For what values of
$x$ will the cost be decreasing? increasing?
(b) What is the minimum cost?

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Definitions:

Unit Price

The price of a single unit of a product, used for comparison between different sizes or quantities.

Percent Increase

The percentage that represents the proportion of growth from the initial value to an increased amount.

Hourly Rate

The sum of money received for every hour worked.

Unit Price

The cost per single unit of an item or investment.