A company that manufactures bikes has a fixed cost of $8,000. It cost $800 to produce each bike. The total cost for the company is a sum of fixed cost and variable costs. Write the total cost, C, as a function of the number of bikes produced x then find C(70).

Find the cost function C(x)= I got f(x)=4800.
Find the cost function C(70) = ? I got 4800/70

1 answer

There is a fixed cost. So, even if no bikes are produced, C(0) = 8000

Each bike costs 800 to make. So, for x bikes, that would be 800x.

That means C(x) = 8000+800x

How the heck did you arrive at f(x)=4800? That's a constant function. And who asked for f(x) anyway? We wanted C(x). And what's with the division by 70? I didn't see any division in your function. Dividing by 70 would produce the average cost per bike.