The profit (in dollars) from the sale of x lawn mowers is P(x) = 70x - 0.07x2 - 650. (A) Find the average profit per mower if 30 mowers are produced. (B) Find the marginal average profit at a production level of 30 mowers, and interpret the results. (C) Use the results from parts (A) and (B) to estimate the average profit per mower if 31 mowers are produced. (A) If 30 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 30 units is $ (Round to the nearest cent as needed.) per mower. Choose the correct interpretation of P'(30) = $0.65 per mower. O A. At a production level of 30 mowers the average profit is increasing at a rate of $0.65 per mower. O B. At a production level of 30 mowers the average profit is $0.65 per mower. O C. At a production level of 30 mowers a unit increase in production will increase the total profit by $0.65 per mower. (C) Using parts (A) and (B), the estimate of the average profit per mower if 31 mowers are produced is $. (Round to the nearest cent as needed.)
The profit (in dollars) from the sale of x lawn mowers is P(x) = 70x - 0.07x2 - 650. (A) Find the average profit per mower if 30 mowers are produced. (B) Find the marginal average profit at a production level of 30 mowers, and interpret the results. (C) Use the results from parts (A) and (B) to estimate the average profit per mower if 31 mowers are produced. (A) If 30 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 30 units is $ (Round to the nearest cent as needed.) per mower. Choose the correct interpretation of P'(30) = $0.65 per mower. O A. At a production level of 30 mowers the average profit is increasing at a rate of $0.65 per mower. O B. At a production level of 30 mowers the average profit is $0.65 per mower. O C. At a production level of 30 mowers a unit increase in production will increase the total profit by $0.65 per mower. (C) Using parts (A) and (B), the estimate of the average profit per mower if 31 mowers are produced is $. (Round to the nearest cent as needed.)
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.6: The Inverse Trigonometric Functions
Problem 94E
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