a company that manufactures bicycles has a fixed cost of $100,000. it costs $200 to produce each bicycle…
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(100). the total cost function is c(x) = . determine the interpretation of c(100). select the correct choice below and fill in the answer box(es) to complete your choice. (simplify your answers.) a. c(100) = ; it costs $100 to produce bicycles. b. c(100) = ; it costs $ to produce 100 bicycles.
Answer
Explanation:
Step1: Define the total - cost function
The fixed cost is $100000$ and the variable cost per bicycle is $200$. The total cost function $C(x)$ is the sum of the fixed cost and the variable cost. The variable cost for $x$ bicycles is $200x$. So, $C(x)=100000 + 200x$.
Step2: Calculate $C(100)$
Substitute $x = 100$ into the function $C(x)$. $C(100)=100000+200\times100=100000 + 20000=120000$. The interpretation of $C(100)$ is that it costs $120000$ to produce 100 bicycles.
Answer:
The total cost function is $C(x)=100000 + 200x$. B. $C(100)=120000$; It costs $$120000$ to produce 100 bicycles.