Question

The expense function for a certain product is e = 3.40q - 189,000. Express the average cost of producing q items algebraically.

Answer 1

The average cost of producing q items, given the expense function e = 3.40q - 189,000, is algebraically expressed as AC = 3.40 - 189,000/q.

To express the average cost of producing q items algebraically from the given expense function e = 3.40q - 189,000, we must perform the following calculation:

Identify the total cost function, which is given as e = 3.40q - 189,000.

1. Calculate the average cost by dividing the total expense function by the quantity q. This can be done by taking the expression for e and dividing it by q.
2. The average cost (AC) would then be AC = e / q = (3.40q - 189,000) / q = 3.40 - 189,000/q.

Therefore, the algebraic expression for the average cost of producing q items is AC = 3.40 - 189,000/q.