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Problem: After being built, a car must be painted. The revenue, R, in dollars when x cars are painted can be modelled by the function R(x) = 1000x-0.01x2. a) Determine the average rate of change of revenue when painting 20 to 50 cars. b) Estimate the instantaneous rate of change of revenue after painting 50 cars. c) Interpret the results found in parts a) and b).

Problem: After being built, a car must be painted. The revenue, R, in dollars when x cars are painted can be modelled by the function R(x) = 1000x-0.01x2. a) Determine the average rate of change of revenue when painting 20 to 50 cars. b) Estimate the instantaneous rate of change of revenue after painting 50 cars. c) Interpret the results found in parts a) and b).

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Problem: After being built, a car must be painted. The revenue, R, in dollars when x cars are painted can be modelled by the function R(x) = 1000x- 0.01x2. a) Determine the average rate of change of revenue when painting 20 to 50 cars. b) Estimate the instantaneous rate of change of revenue after painting 50 cars. c) Interpret the results found in parts a) and b).
Transcribed Image Text:Problem: After being built, a car must be painted. The revenue, R, in dollars when x cars are painted can be modelled by the function R(x) = 1000x- 0.01x2. a) Determine the average rate of change of revenue when painting 20 to 50 cars. b) Estimate the instantaneous rate of change of revenue after painting 50 cars. c) Interpret the results found in parts a) and b).
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