Isabel runs her​ family's small pineapple processing​ plant, which takes fresh pineapples and cuts them into pineapple​ rings, spears, and chunks. The capital stock of the firm consists of three machines of various​ vintages, each of which can process the pineapples into any of the three different forms. All of the machines are in excellent​ condition, and all machines can be running at the same time.

Cost of Processing Maximum Total Capacity
per Pineapple (Pineapples) per Day
Machine 1 $ 0.10 250
Machine 2 0.25 400
Machine 3 0.50 500

(A) Assume that "cost of processing" includes all labor and materials, including the owner's wages. Assume further that Isabel's family signed a long-term contract (20 years) with a service company to keep the machines in good repair for a fixed fee of $1,825 per year, or $5 per day.
1) Derive the firm's marginal cost curve.
2) Derive the firm's total cost curve.
(B) At a price of $0.40, how many pineapples would the company process? What would total revenues, total costs, and total profits be?