Find the rate of change of total revenue, cost, and profit with respect to time. Assume that R(x) and C(x) are in dollars. R(x) = 45x -0.5x², C(x) = 6x + 20, when x = 35 and dx/dt = 30 units per day The rate of change of total revenue is $ per day.

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter2: Functions And Graphs
Section2.6: Proportion And Variation
Problem 17E: Find the constant of proportionality. y is directly proportional to x. If x=30, then y=15.
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Find the rate of change of total revenue, cost, and profit with respect to time. Assume that R(x) and C(x) are in dollars.
R(x) = 45x-0.5x², C(x) = 6x + 20, when x = 35 and dx/dt = 30 units per day
The rate of change of total revenue is $
per day.
Transcribed Image Text:Find the rate of change of total revenue, cost, and profit with respect to time. Assume that R(x) and C(x) are in dollars. R(x) = 45x-0.5x², C(x) = 6x + 20, when x = 35 and dx/dt = 30 units per day The rate of change of total revenue is $ per day.
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