The Cost Function for a Certain Graphing Calculator Is Given $C = 11.35 x + 53,000$

question 50

Essay

The cost function for a certain graphing calculator is given by $C = 11.35 x + 53,000$ where $C$ is in dollars and $x$ is the number of calculators produced.
a. Write a model for the average cost per unit produced.
b. Find the average cost per unit when $x = 900$ .
c. Determine the limit of the average cost function as $x$ approaches $\infty$ .

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Definitions:

Industry Supply Curve

A graphical representation showing the relationship between the price of a good and the total output provided by all firms in the industry.

Chirimollas

A tropical fruit, also known as custard apple, valued for its sweet taste and nutritional properties, but unknown or incorrect as a key-term might imply "cherimoyas."

Demand Function

An equation that illustrates the quantity of an item that will be demanded at various prices, assuming all other factors remain constant.

Equilibrium Price

The market price at which the quantity of a good supplied is equal to the quantity demanded, resulting in market equilibrium.