Question

Suppose the total cost of producing T-shirts can be represented as 14+7q² What is the average cost when producing 10 T-shirts?

Answer 1

The average cost of producing 10 t-shirts, with a total cost function of 14 + 7q², is calculated by dividing the total cost for 10 t-shirts ($714) by the quantity (10), resulting in an average cost of $71.4 per t-shirt.

Step-by-step explanation:

The question asks us to find the average cost of producing t-shirts when 10 t-shirts are produced, given the total cost function 14 + 7q². To find the average cost, we need to divide the total cost by the quantity produced. So, we plug in q = 10 into the total cost function to get the total cost and then divide it by 10.

First we calculate the total cost for 10 t-shirts: 14 + 7(10)² = 14 + 7(100) = 14 + 700 = 714.

Now, we calculate the average cost by dividing the total cost by the quantity (10): Average cost = Total Cost / Quantity = 714 / 10 = 71.4.

Therefore, the average cost for producing 10 t-shirts is $71.4 per t-shirt.