Solve the following linear program using the simplex method: maximize:subject to:2x1 + x20 ≤ x ≤ 50 ≤ x2 ≤7x1 + x2 < 90

(.) Given , In simplex method we add slack variables.Let slack variables, then inequalities…

Answered: maximize: subject to: 2x1 + x2 0≤x≤ 5 0…

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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Find the optimal Solution for the Following linear the Programming model using graphical method: Min Z = 41 X, +35 Xe sub. to: 2X+3X2 1250 X1+ X2250 5X1 + 3X2 900 232.5 0.6x1 +0.25 x27 X1, X270
Suppose a furniture builder has two models of a bookcase: standard and artisan. The standard model requires 5 hours to assemble and 1 hours for finishing touches. The artisan model requires 2 hours to assemble and 4 hours for finishing touches. Based on their current staffing, they can manage a maximum number of assembly hours available is 50 per day, and the maximum number of finishing hours available is 64 per day. Let x = the number of standard model bookcases produced per day and y = the number of artisan model bookcases produced per day. Write the system of inequalities that represents the maximum number of bookcases that can be produced in one day. 0 Graph the system of inequalities, remember to include x >0 and y > 0 in your graph to get full credit. You will need to include four lines. 25 24 VI
State the value of each variable and whether the variable is basic or not, using the provide final simplex tableau.
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maximize: subject to: 2x1 + x2 0≤x≤ 5 0 ≤ x2 ≤7 x1 + x₂ < 90