The cost in dollars of making x items is given by the function C(x) =10x+500

Question

A. The fixed cost is determined when zero items are produced. Find the fixed cost for this item .
B. What is the cost of making 25 items?

Answer 1

To address the problem, let's break it down into parts as requested:

A. Finding the Fixed Cost

The fixed cost can be found by evaluating the cost function \( C(x) \) at \( x = 0 \):

\[ C(0) = 10(0) + 500 = 500 \]

Thus, the fixed cost is $500.

B. Cost of Making 25 Items

To find the cost of making 25 items, substitute \( x = 25 \) into the cost function \( C(x) \):

\[ C(25) = 10(25) + 500 \] \[ C(25) = 250 + 500 = 750 \]

Therefore, the cost of making 25 items is $750.

Summary

• Fixed Cost: $500
• Cost of Making 25 Items: $750