The owner of an orange grove must decide when to pick one variety of oranges. She can sell them for $27 a bushel if she sells them now, with each tree yielding an average of 5 bushels. The yield increases by half a bushel per week for the next 5 weeks, but the price per bushel decreases by $1.50 per bushel each week. In how many weeks should the oranges be picked for maximum return? weeks

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter2: Equations And Inequalities
Section2.2: Applied Problems
Problem 12E
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The owner of an orange grove must decide when to pick one variety of oranges. She can sell them for $27 a bushel if she sells them now, with each tree yielding an average of 5 bushels. The yield increases by half a
bushel per week for the next 5 weeks, but the price per bushel decreases by $1.50 per bushel each week. In how many weeks should the oranges be picked for maximum return?
weeks
Transcribed Image Text:The owner of an orange grove must decide when to pick one variety of oranges. She can sell them for $27 a bushel if she sells them now, with each tree yielding an average of 5 bushels. The yield increases by half a bushel per week for the next 5 weeks, but the price per bushel decreases by $1.50 per bushel each week. In how many weeks should the oranges be picked for maximum return? weeks
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