1. A farmer estimates that if he harvests his soybean crop now, he will obtain 1,000 bushels, which he can sell at $3.00 per bushel. However, he estimates that this crop will increase by an additional 1,200 bushels of soybeans for each week he delays harvesting, but the price will drop at a rate of 50 cents per bushel per week; in addition, it is likely that he will experience spoilage of approximately 200 bushels per week for each week he delays harvesting. When should he harvest his crop to obtain the largest net cash return, and how much will be received for his crop at that time?

ENGR.ECONOMIC ANALYSIS
14th Edition
ISBN:9780190931919
Author:NEWNAN
Publisher:NEWNAN
Chapter1: Making Economics Decisions
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Make a Cost-Driven Design Optimization similar to thie
1. A farmer estimates that if he harvests his soybean crop now, he
will obtain 1,000 bushels, which he can sell at $3.00 per
bushel. However, he estimates that this crop will increase by
an additional 1,200 bushels of soybeans for each week he
delays harvesting, but the price will drop at a rate of 50 cents
per bushel per week; in addition, it is likely that he will
experience spoilage of approximately 200 bushels per week
for each week he delays harvesting. When should he harvest
his crop to obtain the largest net cash return, and how much
will be received for his crop at that time?
Transcribed Image Text:1. A farmer estimates that if he harvests his soybean crop now, he will obtain 1,000 bushels, which he can sell at $3.00 per bushel. However, he estimates that this crop will increase by an additional 1,200 bushels of soybeans for each week he delays harvesting, but the price will drop at a rate of 50 cents per bushel per week; in addition, it is likely that he will experience spoilage of approximately 200 bushels per week for each week he delays harvesting. When should he harvest his crop to obtain the largest net cash return, and how much will be received for his crop at that time?
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