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.

ENGR.ECONOMIC ANALYSIS
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Chapter1: Making Economics Decisions
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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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