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Suppose you are the manager of an Agriculture company that sells “commodities” in a perfect competition market. Your firm’s total cost function is TC = 20Q2 − 480Q + 1724. Unfortunately, due to Covid 19 pandemic, you must set the production output without knowing for certain the price that will prevail in the market. However, there is a 70 percent chance the market price will be $200 and a 30 percent chance it will be $600. a.    Calculate the expected market price. b.    What output should you produce in order to maximize expected profits? c.    What are your expected profits?

Suppose you are the manager of an Agriculture company that sells “commodities” in a perfect competition market. Your firm’s total cost function is TC = 20Q2 − 480Q + 1724. Unfortunately, due to Covid 19 pandemic, you must set the production output without knowing for certain the price that will prevail in the market. However, there is a 70 percent chance the market price will be $200 and a 30 percent chance it will be $600. a.    Calculate the expected market price. b.    What output should you produce in order to maximize expected profits? c.    What are your expected profits?

ENGR.ECONOMIC ANALYSIS
ENGR.ECONOMIC ANALYSIS
14th Edition
ISBN:9780190931919
Author:NEWNAN
Publisher:NEWNAN
Chapter1: Making Economics Decisions
Section: Chapter Questions
Problem 1QTC
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Suppose you are the manager of an Agriculture company that sells “commodities” in a perfect competition market. Your firm’s total cost function is TC = 20Q2 − 480Q + 1724. Unfortunately, due to Covid 19 pandemic, you must set the production output without knowing for certain the price that will prevail in the market. However, there is a 70 percent chance the market price will be $200 and a 30 percent chance it will be $600.

a.    Calculate the expected market price.
b.    What output should you produce in order to maximize expected profits?
c.    What are your expected profits?

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