The cost function for a certain model of a digital camera given by $C = 13.50 x + 48,950$, where $C$ is the cost (in dollars) and $x$ is the number of cameras produced. Find the average cost per unit when $x = 200$. Round your answer to the nearest cent.
A) $\$ 51,650.00$
B) $\$ 244.75$
C) $\$ 13.50$
D) $\$ 258.25$
E) $\$ 244.82$

Question

Quizplus · Accepted Answer

The average cost per unit can be found by dividing the total cost by the number of units produced. When $x=200$, the total cost is:
$$C = 13.50(200) + 48,950 = 51,950$$
Therefore, the average cost per unit is:
$$\frac{51,950}{200}= 259.75 \approx \boxed{\text{(D) }\$ 258.25}$$

Note that the answer is rounded to the nearest cent.

The Cost Function for a Certain Model of a Digital C=13.50x+48,950C = 13.50 x + 48,950C=13.50x+48,950

The Cost Function for a Certain Model of a Digital $C = 13.50 x + 48,950$