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2. I am moving from New Jersey to Indiana and have rented a truck that can haul up to 1,100 cu ft of furniture. The

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2. I am moving from New Jersey to Indiana and have rented a truck that can haul up to 1,100 cu ft of furniture. The volume and value of each item I am considering moving on the truck are given in the following table. Which items should I bring to Indiana? Value ($) 60 48 Item Bedroom set Dining room set Stereo Sofa TV set Volume (cu ft) 800 600 300 400 200 14 31 (a) Formulate this 0-1 IP knapsack problem. (10 pts) (b) Please apply the LP relaxation to solve this problem. (5 pts) (c) Use the Branch-and-Bound to solve this problem. (10 pts)

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