a company that manufactures bicycles has a fixed cost of $90,000. it costs $200 to produce each bicycle. the…

a company that manufactures bicycles has a fixed cost of $90,000. 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).\nthe total cost function is c(x)=□.\ndetermine the interpretation of c(110). select the correct choice below and fill in the answer box(es) to complete your choice.\n(simplify your answers.)\n○ a. c(110)=□; it costs $□ to produce 110 bicycles.\n○ b. c(110)=□; it costs $110 to produce □ bicycles.

a company that manufactures bicycles has a fixed cost of $90,000. 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).\nthe total cost function is c(x)=□.\ndetermine the interpretation of c(110). select the correct choice below and fill in the answer box(es) to complete your choice.\n(simplify your answers.)\n○ a. c(110)=□; it costs $□ to produce 110 bicycles.\n○ b. c(110)=□; it costs $110 to produce □ bicycles.

Answer

Answer:

The total cost function is $C(x)=90000 + 200x$. A. $C(110)=90000+200\times110=90000 + 22000=112000$; It costs $$112000$ to produce 110 bicycles.

Explanation:

Step1: Define the cost - function formula

The total cost $C(x)$ is the sum of fixed cost and variable cost. Fixed cost is 90000 and variable cost is 200 per bicycle, so $C(x)=90000 + 200x$.

Step2: Calculate $C(110)$

Substitute $x = 110$ into $C(x)$: $C(110)=90000+200\times110$.

Step3: Simplify the expression

$90000+200\times110=90000 + 22000=112000$. This means it costs 112000 dollars to produce 110 bicycles.