A company that manufactures bicycles has a fixed cost of $80,000. It costs $200 to produce each bicycle. The

Question

total cost for the company is the sum of its fixed cost and variable costs. Write the total cost, C, as a function of
the number of bicycles produced, x. Then, find and interpret C(110).

The total cost function is C(x) = 80,000 + 200x.

Determine the interpretation of C(110). Select the correct choice below and fill in the answer box(es) to complete
your choice.

(Simplify your answers.)

A. C(110)= blank; It costs $ blank to produce 110 bicycles.

B. C(110) = blank; It costs $110 to produce blank bicycles.

Answer 1

You correctly identified the total cost function as \( C(x) = 80,000 + 200x \).

Now, to find \( C(110) \):

\[ C(110) = 80,000 + 200(110) \] \[ C(110) = 80,000 + 22,000 \] \[ C(110) = 102,000 \]

Interpretation of \( C(110) \):

A. C(110) = 102,000; It costs $102,000 to produce 110 bicycles.

This means that the total cost to the company for producing 110 bicycles is $102,000.