Homework 9

# Homework 9 - University of California, Davis Department of...

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University of California, Davis Department of Agricultural and Resource Economics “We are what we repeatedly do. Excellence then is not an act, but a habit.” Aristotle Copyright c ± 2011 by Quirino Paris. ARE 155 Winter 2011 Prof. Quirino Paris HOMEWORK #9 Due Tuesday, March 8 1. Consider the following LP problem and optimal tableau max Z = 3 x 1 + 5 x 2 subject to 2 x 1 + 4 x 2 16 6 x 1 + 3 x 2 18 x 1 0 , x 2 0 Z x 1 x 2 x s 1 x s 2 sol P IB 0 . . . 0 1 1 / 3 1 / 9 . . . 10 / 3 0 . . . 1 0 1 / 6 2 / 9 . . . 4 / 3 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1 . . . 0 0 7 / 6 1 / 9 . . . 62 / 3 x 2 x 1 Z sol D y s 1 y s 2 y 1 y 2 R A) State the rules of the appropriate algorithm used in solving the above problem. Practice your technical skill by solving the above LP problem and verify that your solution is identical to the given tableau. B) Derive the demand functions for each of the two inputs. You must draw the appropriate revenue and demand function graphs. C) Derive the supply function for each of the two outputs. You must draw the appropriate revenue and supply function diagrams. 2. Consider the following LP problem and optimal tableau max Z = x 1 + 2 x 2 + 3 x 3 + (1 / 2) x 4 subject to x 1 + 2 x 2 + 3 x 3 15

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## This note was uploaded on 02/27/2012 for the course ARE 155 taught by Professor Staff during the Spring '08 term at UC Davis.

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Homework 9 - University of California, Davis Department of...

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