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Consider the following IP problem:max 8x1 2S.T. x1 2 9x1 2 x1 2
+ 5x
+ x<=6
+ 5x<=45
+ x>=0 integer
(a) Relax the integer constraint and solve the problem by using Simplex method.
(b) Apply the cutting plane method to solve this IP.
(c) Draw the feasible region of the IP and the derived cuts on (x1, x2) plane.
(d) Use the brand-and bound algorithm to solve the IP problem.
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