A company that manufactures bicycles has a fixed cost of \( \$ 100,000 \). It costs \( \$ 200 \) to produce each bicycle. The 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 \( C(x)=100,000+200 x \). 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. \( C(110)=\square \); It costs \( \$ \square \) to produce 110 bicycles. B. \( C(110)=\square \); It costs \( \$ 110 \) to produce \( \square \) bicycles.

Given that the fixed cost of the company is $100,000 and it costs $200 to produce each bicycle, the total cost function \( C(x) \) can be expressed as: \[ C(x) = 100,000 + 200x \] To find the total cost of producing 110 bicycles, we substitute \( x = 110 \) into the total cost function: \[ C(110) = 100,000 + 200(110) \] Now, let's calculate \( C(110) \) to determine the total cost of producing 110 bicycles. Calculate the value by following steps: - step0: Calculate: \(100000+200\times 110\) - step1: Multiply the numbers: \(100000+22000\) - step2: Add the numbers: \(122000\) The total cost of producing 110 bicycles is $122,000. Therefore, the correct interpretation is: A. \( C(110) = \$122,000 \); It costs $122,000 to produce 110 bicycles.