Who can solve this problem?
A company is planning to manufacture mountain bikes. The fixed monthly cost will be $200,000 and it will cost $300 to produce each bicycle.
Write the cost function, C, of producing x mountain bikes per month.
Write the average cost function, A, of producing x mountain bikes per month.
Find and interpret (500)
What does this mean?
When _ bicycles are produced in a month, it costs $_ to produce each bicycle.
- Anonymous7 years agoFavorite Answer
Wow, dude up top answered it lol I was just going to say google it! Bikes are pricey though
- MercyLv 77 years ago
Let H = 100000.
If they make 1 bike, the cost will be H + 1 * 100 = H + 100
If they make 2 bikes, the cost will be H + 2 * 100 = H + 200
and so on
to make x bikes, the cost will be H + x * 100
Since that is spread over x bikes,
the average cost is (total cost) / (number of bikes) =
(H + x * 100) / x = H/x + 100
If we want that to equal 300 we solve
H/x + 100 = 300
H/x = 200
H/200 = x
Since H = 100000
x = 500
500 bikes cost 100000 + 500 * 100 = 150000
and 150000 / 500 = 1500 / 5 = 300