Problema Solution
A computer notebook manufacturer has a daily fixed cost of $10,500 and a marginal cost of $200 per notebook.
a. find the daily cost C(x) of manufacturing x notebook per day.
b. find the cost of producing 50 notebooks per day.
c. find the average cost of a computer notebook assuming that 50 notebooks are manufactured each day.
d. how many notebooks should be manufactured each day so that the average cost per notebook is $305?
Answer provided by our tutors
a. find the daily cost C(x) of manufacturing x notebook per day.
C(x) = 10,500 + 200x
b. find the cost of producing 50 notebooks per day.
C(50) = 10,500 + 200*50
C(50) = $20,500
c. find the average cost of a computer notebook assuming that 50 notebooks are manufactured each day.
Average cost is total cost divided by the output
AC(50) = C(50)/50
AC(50) = 20500/50
AC(50) = $410
The average cost of a computer notebook is $410 per notebook.
d. how many notebooks should be manufactured each day so that the average cost per notebook is $305?
We need to find x such that C(x)/x = 305
(10,500 + 200x)/x = 305
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x = 100 notebooks