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 per pineapple Maximum total capacity (pineapples) per dayMachine 1$ 0.10250Machine 2 0.25400Machine 3 0.50500(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?

Calculation of total cost of pineapple production per year Calculation of total cost and marginal…

Managerial Economics: Applications, Strategies and Tactics (MindTap Course List)

14th Edition

ISBN:9781305506381

Author:James R. McGuigan, R. Charles Moyer, Frederick H.deB. Harris

Publisher:James R. McGuigan, R. Charles Moyer, Frederick H.deB. Harris

Chapter8: Cost Analysis

Section: Chapter Questions

Problem 6E

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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 per pineapple	Maximum total capacity (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?

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