Consider the following all-integer linear program.1x₁ + 1x₂5x₁ + 7x₂ ≤ 471x₁ + 6x₂ ≤ 182x₁ + 1x₂ ≤ 17X₁, X₂20 and integerMaxs.t.(b) Solve the LP Relaxation of this problem.at (x₁, x₂) =(c) Find the optimal integer solution.] at (x₁, x₂) = ( [Please read carefully last expertmisread and answered incorecctly

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Answered: Consider the following all-integer…

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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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
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Consider the following all-integer linear program. 1x₁ + 1x₂ 5x₁ + 7x₂ ≤ 47 1x₁ + 6x₂ ≤ 18 2x₁ + 1x₂ ≤ 17 X1, X₂20 and integer Max s.t. (b) Solve the LP Relaxation of this problem. at (x₁, x₂) = (c) Find the optimal integer solution. at (x₁, x₂) -