Answer:
Number of copy machines must be made to minimize the unit cost=160.
Step-by-step explanation:
We are given that the unit cost function C ( the cost in dollars to make each copy machine)
If machines are made =x
Then the unit cost function is given by

We have to find the number of copy machines for minimize the unit cost

Differentiate with respect to x
Then we get
......(equation I)
To find the value of x then we susbtitute
is equal to zero




By using division property of equality

Again differentiate the equation I with respect to x then we get

Hence, the unit cost is minimize for x=160
Therefore, the number of copy machines must be made to minimize the unit cost =160