A business has a cost (in dollars) of $C = 0.8 x + 100$ for producing x units. What is the limit of $\bar { C }$ as x approaches infinity?
A) $\infty$
B)$0.80
C)$100.80
D)$100.00
E)$99.20

Question

Quizplus · Accepted Answer

As x approaches infinity, the average cost $\bar{C} = \frac{C}{x} = \frac{0.8x + 100}{x} = 0.8 + \frac{100}{x}$ approaches 0.8 because $\frac{100}{x}$ approaches 0. as x becomes very large.

A Business Has a Cost (In Dollars) Of C=0.8x+100C = 0.8 x + 100C=0.8x+100

A Business Has a Cost (In Dollars) Of $C = 0.8 x + 100$