Question: Question 4: Integer Programming Consider the following integer programming problem {IF}: max I) 1'1 +0 :32 +1) :53 + $4 2 r5 subject to 31

Question 4: Integer Programming Consider the following integer programming problem {IF}: max I) 1'1 +0 :32 +1) :53 + $4 2 r5 subject to 31 1'4 + 3:5 we 334 3 $5 $3 +$4 +5 $5 [15 points] | HI H III || || I4\" II a? _-T 3;; 33 [l and integer1 for 1' = 1.2,3.4,5, [a] For what values of "r the solution i = (l. 1161"\"! [Lil DJT is an optimal solution of the LP relaxation of {IF}. Justify your mrswer. (b) Let F]: be a nonnegatiye integer. For each of the equation constraints1 state whether or not 1 you can derive a cutting plane for a.\" = {1, m, T,1.iT. Justify your answer. For each of the equation constraints1 if it is possible to derive a cutting plane, then write clown one cutting plane inequality, and verify that your inequality is a cutting plane for E

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