The profit (in dollars) from the sale of x lawn mowers is P(x) = 20x – 0.02x – 550. (A) Find the average profit per mower if 60 mowers are produced. (B) Find the marginal average profit at a production level of 60 mowers, and interpret the results. (C) Use the results from parts (A) and (B) to estimate the average profit per mower if 61 mowers are produced. (A) If 60 mowers are produced, the average profit per mower is $ (Round to the nearest cent as needed.) (B) The marginal average profit at a production level of 60 units is $ (Round to the nearest cent as needed.) per mower. Choose the correct interpretation of P'(60) = $0.13 per mower. O A. At a production level of 60 mowers a unit increase in production will increase the total profit by $0.13 per mower. B. At a production level of 60 mowers the average profit is increasing at a rate of $0.13 per mower. O C. At a production level of 60 mowers the average profit is $0.13 per mower. (C) Using parts (A) and (B), the estimate of the average profit per mower if 61 mowers are produced is $ (Round to the nearest cent as needed.)

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
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Chapter7: Analytic Trigonometry
Section7.6: The Inverse Trigonometric Functions
Problem 94E
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The profit (in dollars) from the sale of x lawn mowers is P(x) = 20x – 0.02x - 550.
(A) Find the average profit per mower if 60 mowers are produced.
(B) Find the marginal average profit at a production level of 60 mowers, and interpret the results.
(C) Use the results from parts (A) and (B) to estimate the average profit per mower if 61 mowers are produced.
(A) If 60 mowers are produced, the average profit per mower is $
(Round to the nearest cent as needed.)
(B) The marginal average profit at a production level of 60 units is $
per mower.
(Round to the nearest cent as needed.)
Choose the correct interpretation of P'(60) = $0.13 per mower.
O A. At a production level of 60 mowers a unit increase in production will increase the total profit by $0.13 per mower.
B. At a production level of 60 mowers the average profit is increasing at a rate of $0.13 per mower.
C. At a production level of 60 mowers the average profit is $0.13 per mower.
(C) Using parts (A) and (B), the estimate of the average profit per mower if 61 mowers are produced is $
(Round to the nearest cent as needed.)
Transcribed Image Text:The profit (in dollars) from the sale of x lawn mowers is P(x) = 20x – 0.02x - 550. (A) Find the average profit per mower if 60 mowers are produced. (B) Find the marginal average profit at a production level of 60 mowers, and interpret the results. (C) Use the results from parts (A) and (B) to estimate the average profit per mower if 61 mowers are produced. (A) If 60 mowers are produced, the average profit per mower is $ (Round to the nearest cent as needed.) (B) The marginal average profit at a production level of 60 units is $ per mower. (Round to the nearest cent as needed.) Choose the correct interpretation of P'(60) = $0.13 per mower. O A. At a production level of 60 mowers a unit increase in production will increase the total profit by $0.13 per mower. B. At a production level of 60 mowers the average profit is increasing at a rate of $0.13 per mower. C. At a production level of 60 mowers the average profit is $0.13 per mower. (C) Using parts (A) and (B), the estimate of the average profit per mower if 61 mowers are produced is $ (Round to the nearest cent as needed.)
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