The cost function for a certain model of a digital camera given by $C = 12.00 x + 48,450$, where $C$ is the cost (in dollars) and $x$ is the number of cameras produced. Find the average cost per unit when $x = 100$. Round your answer to the nearest cent.
A) $\$ 49,650.00$
B) $\$ 484.50$
C) $\$ 12.00$
D) $\$ 496.50$
E) $\$ 484.62$

Question

Quizplus · Accepted Answer

The average cost per unit is given by the formula: $$\frac{C}{x}$$
Substituting the given values, we get:
$$\frac{12.00(100) + 48,450}{100} = \frac{1,200 + 48,450}{100} = \frac{49,650}{100} = \boxed{\$ 496.50}$$
Therefore, the answer is (D).

The Cost Function for a Certain Model of a Digital C=12.00x+48,450C = 12.00 x + 48,450C=12.00x+48,450

The Cost Function for a Certain Model of a Digital $C = 12.00 x + 48,450$