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) = 0.3x^2 - 156x + 26,657 . How many machines must be made to minimize the unit cost?Do not round your answer.

Accepted Solution

Answer:260 machines for minimum cost.Step-by-step explanation:c(x) = 0.3x^2 - 156x + 26.657Finding the derivative:c'(x) = 0.6x - 1560.6x - 156 = 0   for  maxm/minm cost.x = 156 / 0.6= 260The second derivative  is positive (0.6) so this is a minimum.