Problema Solution
A supply 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)+−0.2x2 -100x +17,605. What is the minimum unit cost?
Answer provided by our tutors
C(x) = 0.2x^2 -100x + 17,605
We need to find the minimum of the above parabolic function.
C min = c - b^2/(4a), where a = 0.2, b= -100, c = 17,605
C min = 17605 - (-100)^2/(4*0.2)
C min = $5,105
The minimum cost is $5,105.