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

question 38

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:

Budget Line

A graphical representation showing all possible combinations of two goods that a consumer can afford with a given income and prices.

Vertical Intercept

The point where a line crosses the vertical axis on a graph, indicating the value of y when x is zero.

Milkshakes

A creamy beverage made from milk, ice cream, and often flavorings or sweeteners like syrup or fruit.

Budget Line

A graphical representation showing all possible combinations of two goods that can be purchased with a given budget at set prices.