lem. |Y2 |Y2 riables of x, and x2, write the initial system for the dual problem. plex tableau for the dual problem. 1 X2 P

Algebra for College Students
10th Edition
ISBN:9781285195780
Author:Jerome E. Kaufmann, Karen L. Schwitters
Publisher:Jerome E. Kaufmann, Karen L. Schwitters
Chapter11: Systems Of Equations
Section11.1: Systems Of Two Linear Equations In Two Variables
Problem 91PS
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4.

Minimize C = 7x1 + 2x2
subject to 2x1 +7x2 25
7x1 + 8x2 2 3
X1 . X2 20
a. Form the dual problem.
Maximize p=y, +¥2
subject to Oy1 + y2 s
+
Y1. Y2 20
b. Using the slack variables of x, and x,, write the initial system for the dual problem.
Oy, +OY2 + X1
Oy1 +OY2 + X2
Y1 +
%3!
| Y2 +P = 0
c. Fill in the initial simplex tableau for the dual problem.
Y1 Y2 x1
X2
P
X1
X2
Transcribed Image Text:Minimize C = 7x1 + 2x2 subject to 2x1 +7x2 25 7x1 + 8x2 2 3 X1 . X2 20 a. Form the dual problem. Maximize p=y, +¥2 subject to Oy1 + y2 s + Y1. Y2 20 b. Using the slack variables of x, and x,, write the initial system for the dual problem. Oy, +OY2 + X1 Oy1 +OY2 + X2 Y1 + %3! | Y2 +P = 0 c. Fill in the initial simplex tableau for the dual problem. Y1 Y2 x1 X2 P X1 X2
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