South River Fast Lube does oil changes on vehicles in $15$ minutes or less. The variable cost associated with each oil change is $$7.($oil$,$ filter, and $15$ minutes of employee time$).$ The fixed costs of running the shop

are $$17,000$ each month $($store manager salary, depreciation on shop and equipment, insurance, and property taxes$).$ The shop has the capacity to perform $2,500$ oil changes each month.

Read the requirements.

Requirement a$.$ Total cost of performing $1,000$ oil changes in May.

Determine the formula, then calculate the current total product cost of performing $1,000$ oil changes in May.

Requirement b$.$ Average cost of performing each oil change in May.

Determine the formula, then calculate the current average cost per oil change.

$=$

Average cost per oil change

$=$

Requirement c$.$ Marginal cost of performing an oil change in May.

The marginal cost of performing an oil change in May is

Requirement $d.$ If the company could reach full capacity one month, what would the total cost be$?$