The profit function for a firm's commodity is f (x) = -2x2 + 1200x – 100 000, where x is the quantity of the commodity produced. A possible re-arrangement of f(x) = –2x² -2.x2 + 1200x – 100 000 = %3D for finding a zero of the firm's profit function with the Fixed-Point Method is (2x2 + 100 000)/1200. Applying five decimal place rounding in all calculations, the fourth Fixed-Point Method iteration obtained with this re-arrangement and the initial approximation X1 = 105 gives x5 =
The profit function for a firm's commodity is f (x) = -2x2 + 1200x – 100 000, where x is the quantity of the commodity produced. A possible re-arrangement of f(x) = –2x² -2.x2 + 1200x – 100 000 = %3D for finding a zero of the firm's profit function with the Fixed-Point Method is (2x2 + 100 000)/1200. Applying five decimal place rounding in all calculations, the fourth Fixed-Point Method iteration obtained with this re-arrangement and the initial approximation X1 = 105 gives x5 =
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:The profit function for a firm's
commodity is
f (x) = -2x² + 1200x – 100 000,
|
where x is the quantity of the
commodity produced.
A possible re-arrangement of
f(x) = -2x² + 1200x
100 000 = 0
-
for finding a zero of the firm's
profit function with the Fixed-Point
Method is
(2.x2 + 100 000)/1200.
Applying five decimal place rounding
in all calculations, the fourth
Fixed-Point Method iteration
obtained with this re-arrangement
and the initial approximation
x1 = 105 gives x5 =
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