Maximizing profit. For Exercises 23-28, find the maximum profit and the number of units that must be produced and sold in order to yield the maximum profit. Assume that revenue, R(x), and cost, C(x), are in dollars for Exercises 23-26. 23. R(х) %3D 50х - 0.5x2, С(х) %3D 4x + 10 С(х) %3D 10х + 3 24. R(x) = 50x - 0.5x2, 25. R(x) = 2x, C(x) = 0.01x2 + 0.6x + 30 26. R(x) = 5x, C(x) = 0.001x + 1.2x + 60 27. R(x) = 9x - 2x2, C(x) = x - 3x2 + 4x + 1; assume that R(x) and C(x) are in thousands of dollars, and x is in thousands of units. 28. R(x) = 100x – x², C(x) = x3 – 6x² + 89x + 100; assume that R(x) and C(x) are in thousands of dollars, and x is in thousands of units.

Managerial Economics: A Problem Solving Approach
5th Edition
ISBN:9781337106665
Author:Luke M. Froeb, Brian T. McCann, Michael R. Ward, Mike Shor
Publisher:Luke M. Froeb, Brian T. McCann, Michael R. Ward, Mike Shor
Chapter5: Investment Decisions: Look Ahead And Reason Back
Section: Chapter Questions
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Maximizing profit. For Exercises 23-28, find the maximum
profit and the number of units that must be produced and sold
in order to yield the maximum profit. Assume that revenue,
R(x), and cost, C(x), are in dollars for Exercises 23-26.
23. R(х) %3D 50х - 0.5x2, С(х) %3D 4x + 10
С(х) %3D 10х + 3
24. R(x) = 50x - 0.5x2,
25. R(x) = 2x, C(x) = 0.01x2 + 0.6x + 30
26. R(x) = 5x, C(x) = 0.001x + 1.2x + 60
27. R(x) = 9x - 2x2, C(x) = x - 3x2 + 4x + 1;
assume that R(x) and C(x) are in thousands of dollars,
and x is in thousands of units.
28. R(x) = 100x – x², C(x) = x3 – 6x² + 89x + 100;
assume that R(x) and C(x) are in thousands of dollars,
and x is in thousands of units.
Transcribed Image Text:Maximizing profit. For Exercises 23-28, find the maximum profit and the number of units that must be produced and sold in order to yield the maximum profit. Assume that revenue, R(x), and cost, C(x), are in dollars for Exercises 23-26. 23. R(х) %3D 50х - 0.5x2, С(х) %3D 4x + 10 С(х) %3D 10х + 3 24. R(x) = 50x - 0.5x2, 25. R(x) = 2x, C(x) = 0.01x2 + 0.6x + 30 26. R(x) = 5x, C(x) = 0.001x + 1.2x + 60 27. R(x) = 9x - 2x2, C(x) = x - 3x2 + 4x + 1; assume that R(x) and C(x) are in thousands of dollars, and x is in thousands of units. 28. R(x) = 100x – x², C(x) = x3 – 6x² + 89x + 100; assume that R(x) and C(x) are in thousands of dollars, and x is in thousands of units.
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