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?

---

Definitions:

Selective Distribution

A marketing strategy where products are sold at a limited number of outlets, targeting specific channels or geographic areas.

Specialty Stores

Retail businesses that focus on specific product categories, offering a deep assortment in those categories.

Department Stores

Large retail establishments that offer a wide range of products across different categories under one roof.

Brick-and-Mortar Retailers

Physical stores that operate in a traditional storefront location, offering products and services in-person to customers.