1. Write the following linear program into standard form, then write the linear program correspondingto the first phase simplex:minx1,x2,3 ERsubject to2x1 + x2 + x3x1 - x2 + 2x3X1 X2 X3X1, X2, X36ܘܩܩ-5(1)

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Answered: 1. Write the following linear program…

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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Montreal Mini-Covid Hospital is serving COVID-19 patients. The hospital is receiving 20 patients per hour for COVID test. At any given time, there are 5 patients waiting in line while the front desk is serving each patient in 3 minutes and directing 50% of patients to Dr. John and 50% of patients to Dr. Mary. At any given time, there are 15 patients in Dr. John's waiting room while he is serving each patient in 4 minutes and admitting 20% of his patients for treatment. Likewise, at any given time, there are 8 patients in Dr. Mary's waiting room while she is serving each patient in 5 minutes and admitting 15% of her patients for treatment. All details are presented in the process diagram below: Dr. John (GP) 20% Admit Service time = 4 min Waiting patients = 15 Patients 50% 80% 20 / hour Front Desk Waiting Patients - 5 Service time = 15%, 3 min 50% Don't admit Dr. Mary (GP) Service time = 5 min 85% Waiting patients = 8 How long in minutes, does an admitted patient spend in the system on…
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2. Rewrite the following linear program in standard form. (1) s.t. min z = -5x1 - 6x2 - 7x3 -x1 - 5x2 3x3 ≥ 15 -5x1 - 6x2 + 10x3 ≤ 20 x1x2x3 = -5 x1 ≤ 0, x2 > 0, x3 unconstrained -
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1. Write the following linear program into standard form, then write the linear program corresponding to the first phase simplex: min €1,22,23 ER subject to 2x1 + x2 + x3 x1x2 + 2x3 < 6 x1 + x2x3 < -5 X1, X2, X3 > 0 (1)