SOLUTION: Please show me how to solve this Average cost of skateboards. The cost , in dollars of producing x skateboards is given by C(x) = 5.75x + 34,200 The average cost per skateboa

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Question 42051This question is from textbook
: Please show me how to solve this
Average cost of skateboards. The cost , in dollars of producing x skateboards is given by
C(x) = 5.75x + 34,200
The average cost per skateboards is given by
C(x)= C(x)/x = 5.75 + 34,200/x
Find the average cost per skateboard, to the nearest cent of producing 5,000 and 50000 skateboards.
This question is from textbook

Answer by vihits13(20) About Me  (Show Source):
You can put this solution on YOUR website!
Ok... the total cost of producing 5,000 skateboards would be:
C(5000) = 5.75(5000) + 34,200
C(5000)= 28,750+34200
Cost of producing 5,000 skateboards= $62,950
Avg. cost per skateboard = 62950/5000= $12.59
Ok now for producing 50,000 skateboards... i hope you are understanding what I am doing:
c(50000)= 5.75(50000)+ 34,200
C(50000)= 287500+ 34200
Cost of producing 50,000 skateboards= 321,700
Avg. cost per bike= 321,700/ 50,000= $6.434= $6.43
I think my answers are correct but you may want to make sure.