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Consider the following maximization problem. Maximize subject to the constraints 15x1 x1 11x1 z = 3x1 + x2 – - 10x3 X1 ≥ 0 X2 + 13x2 + + x₂ > 0 8x345 11xr; ≤ 28 13x3 < 60 X3 ≥0 First find the initial tableau and then perform the first (just one) pivot. (please remember webwork puts the z-row at the bottom) Z £1 €2 X3 81 82 83 RHS

Consider the following maximization problem. Maximize subject to the constraints 15x1 x1 11x1 z = 3x1 + x2 – - 10x3 X1 ≥ 0 X2 + 13x2 + + x₂ > 0 8x345 11xr; ≤ 28 13x3 < 60 X3 ≥0 First find the initial tableau and then perform the first (just one) pivot. (please remember webwork puts the z-row at the bottom) Z £1 €2 X3 81 82 83 RHS

Practical Management Science
Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter2: Introduction To Spreadsheet Modeling
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Consider the following maximization problem. Maximize subject to the constraints 15x1 X1 11xı z = 3x1 + x2 - 10x3 X1 > 0 X2 + 8x345 13x2 + 11xş ≤ 28 13x3 + 60 x₂ > 0 X3 ≥ 0 First find the initial tableau and then perform the first (just one) pivot. (please remember webwork puts the z-row at the bottom) #1 02 X3 81 82 83 RHS
Transcribed Image Text:Consider the following maximization problem. Maximize subject to the constraints 15x1 X1 11xı z = 3x1 + x2 - 10x3 X1 > 0 X2 + 8x345 13x2 + 11xş ≤ 28 13x3 + 60 x₂ > 0 X3 ≥ 0 First find the initial tableau and then perform the first (just one) pivot. (please remember webwork puts the z-row at the bottom) #1 02 X3 81 82 83 RHS
Expert Solution
Objective Functions and Constraints:

Objective Functions and Constraints:

                Based on the given details, the objective functions and constraints are 

Objective Function:

Max Z = 3x1 + x2 – 10x3

Constraints:

                Subject to

Constraint 1: 15x1 – x2 + 8x3 ≤ 45  Constraint 2: x1 – 13x2 + 11x3 ≤ 28  Constraint 3: 11x1 + 13 x3 ≤ 60  Non negativity: x2, x2, x3 ≥ 0

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