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
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.
To find the total cost, C, as a function of the number of bikes produced, x, we need to consider both the fixed cost of $8,000 and the variable cost of $800 per bike produced.
The fixed cost remains constant regardless of the number of bikes produced, so we can simply add the fixed cost to the variable cost multiplied by the number of bikes produced:
C(x) = Fixed Cost + (Variable Cost per bike) * x
C(x) = 8000 + 800 * x
To find C(70), we substitute x = 70 into the cost function:
C(70) = 8000 + 800 * 70
C(70) = 8000 + 56000
C(70) = 64000
Therefore, the cost function C(x) is C(x) = 8000 + 800 * x, and C(70) = $64,000.