Algebra and Trigonometry (6th Edition)
Algebra and Trigonometry (6th Edition)
6th Edition
ISBN: 9780134463216
Author: Robert F. Blitzer
Publisher: PEARSON
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  • Is each pound of fertilizer equally effective?
  • Estimate the maximum amount of revenue that can be earned per acre by graphing the data.
  • Compute a linear regression.
  • Compute a logistic regression.
  • Use trial and error on your calculator to fit a function of the form r=c(1−bx)r=c(1-bx) where c is the estimate for the maximum amount of revenue and 0<b<10<b<1 
  • Choose the best model and then write a total cost function for fertilizer. Use graphs on your calculator to find where cost equals revenue. 
  • Write a profit function and graph it to advise the grower on the most profitable amount of fertilizer to use.
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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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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