Asupply company manufactures copy machines. the unit cost c (the cost in dollars to make each copy machine) depends on the number of machines made. if x machines are made, then the unit cost is given by the function
c (x) = 0.8x ^ 2 - 256x +25,939 . how many machines must be made to minimize the unit cost? do not round your answer.
number of copy machines:

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