Question: Question 2) (25 points) Consider a box with a limited weight of 50 and a limited volume of 8. We want to select a subset

Question 2) (25 points) Consider a box with a
Question 2) (25 points) Consider a box with a limited weight of 50 and a limited volume of 8. We want to select a subset of the following items and put them into the box to maximize the total value. We cannot violate the weight and volume capacity of the box. Item ABCDEFG Weight 132081815129 Volume 4,4214121 Value 8 16 8 14 10 10 2 1- Write a mathematical optimization model for this problem. Clearly define decision variables, objective function, and constraints for the optimization model. 2- Use Excel to solve the optimization model. Which items should be selected? What is the optimal value of the objective function? 3- (Bonus question) (5 points) Can you design a greedy algorithm that incorporates, weights, volumes, and values of the items to solve this

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