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 +10, when x = 30 and dx/dt = 15 units per day The rate of change of total revenue is $ per day. The rate of change of total cost is $ per day. The rate of change of total profit is $ per day.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section: Chapter Questions
Problem 18T
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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 +10, when x = 30 and dx/dt = 15 units per day
The rate of change of total revenue is $ per day.
The rate of change of total cost is $
per day.
The rate of change of total profit 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 +10, when x = 30 and dx/dt = 15 units per day The rate of change of total revenue is $ per day. The rate of change of total cost is $ per day. The rate of change of total profit is $ per day.
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