Convert the given problem into a maximization problem with positive constants on the right side of each constraint, and write the initial simplex tableau. w = 4y1 +3y2 - 5y3 У1 + 4у2 + 2уз S105 Minimize subject to Бу1 + У2 + Уз 2 250 У1 + Уз 275 y1 20, y2 2 0, y3 20. ..... Convert the problem into a maximization problem with positive constants on the right side of each constraint. (Oy, + O2 + (Oy3 Maximize Y1 subject to 105 250 75 У1 2 0, У2 2 0, Уз 20.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter9: Systems Of Equations And Inequalities
Section9.3: Systems Of Inequalities
Problem 16E
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Convert the given problem into a maximization problem with positive constants on
the right side of each constraint, and write the initial simplex tableau.
w = 4y1 + 3y2 - 5y3
Y1 + 4y2 + 2y3 s 105
Minimize
subject to
5y1 + У2 + Уз 2 250
У1 + Уз 275
У1 2 0, У2 20, Уз 20.
Convert the problem into a maximization problem with positive constants on the right side of each constraint.
z= (Oy, + OY2+ (Oy3
Maximize
subject to
105
250
75
У1 20, У2 2 0, Уз 20.
Transcribed Image Text:Convert the given problem into a maximization problem with positive constants on the right side of each constraint, and write the initial simplex tableau. w = 4y1 + 3y2 - 5y3 Y1 + 4y2 + 2y3 s 105 Minimize subject to 5y1 + У2 + Уз 2 250 У1 + Уз 275 У1 2 0, У2 20, Уз 20. Convert the problem into a maximization problem with positive constants on the right side of each constraint. z= (Oy, + OY2+ (Oy3 Maximize subject to 105 250 75 У1 20, У2 2 0, Уз 20.
Use the two-stage method to solve. Find x, 20, x, 20, and x3 20 such that
X1 + X2 + 2x3 < 38
2x1 + X2 + X3 221
and z= 3x, +2x2 + 2x3 is maximized.
The maximum is z=
when x1
X2 =
and x3
Transcribed Image Text:Use the two-stage method to solve. Find x, 20, x, 20, and x3 20 such that X1 + X2 + 2x3 < 38 2x1 + X2 + X3 221 and z= 3x, +2x2 + 2x3 is maximized. The maximum is z= when x1 X2 = and x3
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