A farmer wants to find the best time to take her hogs to market. The current price is 84 cents per pound and her hogs weigh an average of 80 pounds. The hogs gain 5 pounds per week and the market price for hogs is falling each week by 2 cents per pound. How many weeks should she wait before taking her hogs to market in order to receive as much money as possible?

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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A farmer wants to find the best time to take her hogs to market. The current price is 84 cents per pound and her hogs weigh an average of 80 pounds. The hogs gain 5
pounds per week and the market price for hogs is falling each week by 2 cents per pound. How many weeks should she wait before taking her hogs to market in order to
receive as much money as possible?
She should wait weeks.
Transcribed Image Text:A farmer wants to find the best time to take her hogs to market. The current price is 84 cents per pound and her hogs weigh an average of 80 pounds. The hogs gain 5 pounds per week and the market price for hogs is falling each week by 2 cents per pound. How many weeks should she wait before taking her hogs to market in order to receive as much money as possible? She should wait weeks.
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