Question: The average cost per item, C, in dollars, of manufacturing a quantity q of cell phones is given by
C = (a/q) + b
Where a, b are positive constants.
(a) Find the rate of change of C as q increases. What are its units?
(b) If production increases at a rate of 100 cell phones per week, how fast is the average cost changing? Is the average cost increasing or decreasing?