The fertilizer costs 42 cents per pound. What would you advise the grower is the most profitable amount of fertilizer to use?

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter7: Distance And Approximation
Section7.3: Least Squares Approximation
Problem 31EQ
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A commercial vegetable and fruit grower carefully observes the relationship between the per-acre
amount of fertilizer used on a certain variety of pumpkin and the extra revenue made from the sales
of the resulting pumpkin crop. These observations are recorded in the following table
Amount of
fertilizer
250
500
750
1000
1250
1500
1750 2000
(pounds/acre)
Extra revenue
earned
288
435
516
555
576
588
594
597
(dollars/acre)
The fertilizer costs 42 cents per pound. What would you advise the grower is the most profitable
amount of fertilizer to use?
Transcribed Image Text:A commercial vegetable and fruit grower carefully observes the relationship between the per-acre amount of fertilizer used on a certain variety of pumpkin and the extra revenue made from the sales of the resulting pumpkin crop. These observations are recorded in the following table Amount of fertilizer 250 500 750 1000 1250 1500 1750 2000 (pounds/acre) Extra revenue earned 288 435 516 555 576 588 594 597 (dollars/acre) The fertilizer costs 42 cents per pound. What would you advise the grower is the most profitable amount of fertilizer to use?
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