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.
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.
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: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: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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