Question

A company that manufactures bicycles has a fixed cost of ​$90000. It costs ​$100 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​).

Answer 1

The total cost, C, is a function of the number of bicycles produced, x. The total cost can be found using the formula C(x) = $90,000 + ($100 * x). C(110) is $101,000.

Step-by-step explanation:

The total cost, C, is a function of the number of bicycles produced, x. The fixed cost of $90,000 remains the same regardless of the number of bicycles produced. The variable cost is $100 per bicycle. To find the total cost as a function of x, we can use the formula:

C(x) = Fixed cost + Variable cost

Substituting the given values, we get:

C(x) = $90,000 + ($100 * x)

To find C(110), we substitute x = 110 into the function:

C(110) = $90,000 + ($100 * 110) = $90,000 + $11,000 = $101,000

So, C(110) is $101,000.

Answer 2

The total cost for the company is the sum of its fixed cost and variable costs.

Corporate expenditures that do not depend on the amount of goods or services provided by the company are fixed costs.

Variable costs are expenses that change when changes occur in the sum of the good or service produced by a company.

C(x) = 90000 + 100x

C(110) = 90000 + 100 ( 110 )

C(110) = 90,000 + 11, 000 = 101,000

It costs $101,000 to produce 110 bicycles.