The cost to produce a certain commodity is given by the function C(x) = 50x + 2,000 The corresponding revenue function is given by R(x) = -0.6x² + 80x + 5000 Both functions are measured in dollars and x is the number of units produced (in thousands). Find the profit function and use it to determine how fast the profit is changing when when 8000 units are produced. Make sure to indicate whether it is increasing or decreasing and include the correct units.
The cost to produce a certain commodity is given by the function C(x) = 50x + 2,000 The corresponding revenue function is given by R(x) = -0.6x² + 80x + 5000 Both functions are measured in dollars and x is the number of units produced (in thousands). Find the profit function and use it to determine how fast the profit is changing when when 8000 units are produced. Make sure to indicate whether it is increasing or decreasing and include the correct units.
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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