Question

Caroline owns a shoe boutique. Her shop’s fixed costs for one week are $350, and the variable costs are $7 per shoe. Write the average cost per shoe, C, as a function of the number of shoes sold in one week, s.

Answer 1

C(s) = 350 + 7s.

The fixed costs, 350, are added to the variable costs per shoe; $7 per shoe is written as 7s.

Answer 2

Given that fixed cost for one week = $350

Given that variable cost for one 1 shoe = $7

We have to use letter "s" for number of shoes.

Then cost of "s" shoes will be product of number of shoes and the cost of 1 shoes which is given by "7s"

fixed cost also adds to the actual cost so the total cost is = 7s+350

Now we have to find the average cost per shoe.

To find the average, we just need to divide the total cost by the number of shoes sold

Hence final answer will be:

Average cost per shoe $C=\frac{7s+350}{s}$