Question

A company that manufactures small canoes has a fixed cost of $ 14 comma 000. It costs $ 100 to produce each canoe. The selling price is $ 200 per canoe.​ (In solving this​ exercise, let x represent the number of canoes produced and​ sold.)
Question content area bottom
Part 1
a. Write the cost function.
​C(x)equals
  
14000 plus 100 x ​ (Type an expression using x as the​ variable.)
Part 2
b. Write the revenue function.
​R(x)equals
  
enter your response here  ​(Type an expression using x as the​ variable.)

Answer 1

To solve the problem, let's define the cost and revenue functions step by step.

### Part 1: Cost Function

The total cost function, \( C(x) \), includes fixed costs and variable costs. In this case, the fixed cost is $14,000 and the variable cost is $100 for each canoe produced.

Thus, the cost function can be expressed as:

\[
C(x) = 14000 + 100x
\]

### Part 2: Revenue Function

The revenue function, \( R(x) \), is the total income generated from selling canoes. If each canoe is sold for $200, then the revenue earned from selling \( x \) canoes would be:

\[
R(x) = 200x
\]

### Summary of the Functions

- Cost Function: \( C(x) = 14000 + 100x \)
- Revenue Function: \( R(x) = 200x \)

Feel free to ask if you need any further assistance!