Question: Problem 4. Bin-packing Problem (20 points) Consider the bin-packing problems. The vehicle's volume is set to 1. There are seven items with the volume as

Problem 4. Bin-packing Problem (20 points)

Problem 4. Bin-packing Problem (20 points) Consider the bin-packing problems. The vehicle's volume is set to 1. There are seven items with the volume as follows: Item ID Volume 1 0.2 2 0.5 3 0.4 4 0.7 5 0.1 6 0.3 7 0.8 Q4-1. Using First Fit algorithm, please find the number of vehicles needed to deliver all of them. Q4-2. Using First Fit Decreasing algorithm, please find the number of vehicles needed to deliver all of them. Q4-3. Are results of 3-1 and 3-2 different? Explain why. Q4-4. Formulate this problem using Integer Programming (IP). Feel free to use the optimization model in the lecture note. You have to decide the value of n

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