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2.Let be a company whose total revenue and total costs, in dollars, are given respectively by: R(q) = 9000 In (0,02q+1) and ((q) =7000e.. where q denotes the number of units produced and q€ {0,1,2,3 ...,1400}. 0012 a) Give the company's profit if it sells 1000 units. b) Determine the number of units to be sold for total revenue of $21,597. c) Determine the number of units required to produce the total production costs of $29,545.

2.Let be a company whose total revenue and total costs, in dollars, are given respectively by: R(q) = 9000 In (0,02q+1) and ((q) =7000e.. where q denotes the number of units produced and q€ {0,1,2,3 ...,1400}. 0012 a) Give the company's profit if it sells 1000 units. b) Determine the number of units to be sold for total revenue of $21,597. c) Determine the number of units required to produce the total production costs of $29,545.

Calculus For The Life Sciences
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter4: Calculating The Derivative
Section4.CR: Chapter 4 Review
Problem 85CR
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2.Let be a company whose total revenue and total costs, in dollars, are given respectively by: R(₂) = 9000 In (0,02q+1) and C(q) = 7000e0.0012 where q denotes the number of units produced and q€ {0,1,2,3 ...,1400}. a) Give the company's profit if it sells 1000 units. b) Determine the number of units to be sold for total revenue of $21,597. Determine the number of units required to produce the total production costs of $29,545. c) d) If q = 800, determine the speed at which : i. total production costs; ii. total income. e) Evaluate iii. Cmarginal (400) iv. Rmarginal (400) f) g) Determine total revenue when it increases at a rate of $30/unit. Determine the rate at which total costs vary when they amount to $23,240.82. h) Determine the number of units to be sold to maximize profit. Determine this maximum profit.
Transcribed Image Text:2.Let be a company whose total revenue and total costs, in dollars, are given respectively by: R(₂) = 9000 In (0,02q+1) and C(q) = 7000e0.0012 where q denotes the number of units produced and q€ {0,1,2,3 ...,1400}. a) Give the company's profit if it sells 1000 units. b) Determine the number of units to be sold for total revenue of $21,597. Determine the number of units required to produce the total production costs of $29,545. c) d) If q = 800, determine the speed at which : i. total production costs; ii. total income. e) Evaluate iii. Cmarginal (400) iv. Rmarginal (400) f) g) Determine total revenue when it increases at a rate of $30/unit. Determine the rate at which total costs vary when they amount to $23,240.82. h) Determine the number of units to be sold to maximize profit. Determine this maximum profit.
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