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

........


click here to see all the equation solution steps


........

x = 100 notebooks