Neilsen Cookie Company Sells Its Assorted Butter Cookies in Containers

question 133

Short Answer

Neilsen Cookie Company sells its assorted butter cookies in containers that have a net content of 1 lb. The estimated demand for the cookies is 1,000,000 1-lb containers. The setup cost for each production run is $250, and the manufacturing cost is $.50 for each container of cookies. The cost of storing each container of cookies over the year is $.20.
Assuming uniformity of demand throughout the year and instantaneous production, how many containers of cookies should Neilsen produce per production run in order to minimize the production cost?
Hint: Show that the total production cost is given by the function .
Then minimize the function on the interval (0, 1,000,000).
__________ containers of cookies per production run

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Definitions:

Opportunity Cost

Forgoing possible gains from alternative paths when one path is chosen.

Farmer

An individual engaged in agriculture, raising living organisms for food or raw materials.

Comparative Advantage

The ability of a party to produce a particular good or service at a lower marginal and opportunity cost than another.

Honduras

A country in Central America, characterized by its diverse landscapes, cultures, and history, but also known for its challenges with poverty and violence.