Carnival eats is preparing for the upcoming festival season by taking a closer look at their manufacturing process. They advertise a carnival special of one pound of crab fries for $10. Because of the quantity of orders they typically receive, they fry the potatoes in batches of 10 pounds at a time. Each batch will be 10 pounds, no matter what. They purchase the potatoes from their supplier for $3 per 5 pound bag. Frying the potatoes takes the employee 20 minutes. Carnival eats currently pays employees an hourly wage of $20. because of the residue left from the crab seasoning, fresh oil must be used in each batch of fries. It takes $6 of oil to refill he fryer.

(a) how much does one ten-pound batch of crab fries cost to prepare?

(b) how much would it cost to prepare 15 pounds of crab fries?

(c) if carnival eats decreased the batch size to 5 pounds of potatoes per batch, how much would it cost to prepare 15 pounds of crab fries? Assume that it would take the employee 10 minutes per batch under this new standard and oil would still need to be changed after each batch?