Problema Solution
Average Cost Suppose that the daily cost C of manufac turing bicycles is given by C(x) = 80x + 5000. Then the average daily cost is given by (x) = How many bicycles must be produced each day for the average cost to be no more than $100?
52.
Average Cost See Problem 51. Suppose that the government imposes a $1000 per day tax on the bicycle manufacturer so that the daily cost C of manufacturing x bicycles is now given by C(x) = 80x + 6000. Now the average daily cost is given by (x) = How many bicycles must be produced each day for the average cost to be no more than $100?
Answer provided by our tutors
first problem:
average cost = C(x)/x
100 =( 80x + 5000)/x = 80 + (5000/x)
calculate x
20 = 5000/x
x = 250 bicycles should be the number of bicycles produced
second problem:
average cost = C(x)/x
100 =( 80x + 6000)/x = 80 + (6000/x)
calculate x
20 = 6000/x
x = 300 bicycles should be the number of bicycles produced