A villager estimates that if he picks his orange crop now, he will obtain 2000 boxes of apples, which he can sell at $5 per box. However, he thinks his crop will increase by 150 boxes of apples for each week he delays picking, but that the price will drop at a rate of $0.25 per box per week; in addition, he estimates approximately 30 boxes per week will spoil for each week he delays picking. When should he pick his crop to obtain the largest total cash return? How much will he receive for his crop at that time?
A villager estimates that if he picks his orange crop now, he will obtain 2000 boxes of apples, which he can sell at $5 per box. However, he thinks his crop will increase by 150 boxes of apples for each week he delays picking, but that the price will drop at a rate of $0.25 per box per week; in addition, he estimates approximately 30 boxes per week will spoil for each week he delays picking. When should he pick his crop to obtain the largest total cash return? How much will he receive for his crop at that time?
Managerial Economics: A Problem Solving Approach
5th Edition
ISBN:9781337106665
Author:Luke M. Froeb, Brian T. McCann, Michael R. Ward, Mike Shor
Publisher:Luke M. Froeb, Brian T. McCann, Michael R. Ward, Mike Shor
Chapter20: The Problem Of Adverse Selection Moral Hazard
Section: Chapter Questions
Problem 3MC
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A villager estimates that if he picks his orange crop now, he will obtain 2000 boxes of
apples, which he can sell at $5 per box. However, he thinks his crop will increase by 150
boxes of apples for each week he delays picking, but that the
$0.25 per box per week; in addition, he estimates approximately 30 boxes per week will
spoil for each week he delays picking. When should he pick his crop to obtain the largest
total cash return? How much will he receive for his crop at that time?
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