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

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Part 1
a. Write the cost function.
​C(x)equals
  
enter your response here ​ (Type an expression using x as the​ variable.)

Answer 1

To write the cost function \( C(x) \) for the company that manufactures small canoes, we consider both the fixed costs and the variable costs.

1. The fixed cost (which does not change with the number of canoes produced) is \( $14,000 \).
2. The variable cost for producing each canoe is \( $100 \), so the cost for producing \( x \) canoes is \( 100x \).

Combining these two components, the cost function can be expressed as:

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

So, the complete cost function is:

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