Homework SourseAssume that it costs Apple approximately Cx 32400 100x 00
Assume that it costs Apple approximately
C(x) = 32,400 + 100x + 0.01x2
dollars to manufacture x 30-gigabyte video iPods in a day. How many iPods should be manufactured in order to minimize average cost?
?iPods per day
What is the resulting average cost of an iPod? (Give your answer to the nearest dollar.)
C(x) = 32,400 + 100x + 0.01x2
dollars to manufacture x 30-gigabyte video iPods in a day. How many iPods should be manufactured in order to minimize average cost?
?iPods per day
What is the resulting average cost of an iPod? (Give your answer to the nearest dollar.)
Solution
average ost= k=C(x) /x= 32,400/x + 100 + 0.01x k\'=0 ==>-32400/x^2 +0.01=0 ==>x^2=3240000 =>x=1,800 ipods resulting average cost of an iPod =18+100+18 =136
