Suppose that you are moving to a new apartment and you have only two boxes to pack your stuff in. The first box carries 22 kg and the second carries 28 kg. The weight and the value of your belongings...

Extracted text: Suppose that you are moving to a new apartment and you have only two boxes to pack your stuff in. The first box carries 22 kg and the second carries 28 kg. The weight and the value of your belongings are given in the table below: Item A В C D E F H Weight [kg] Value (S] 10 3. 500 200 700 15 11 4 600 100 600 800 600 (a) You want to carry your items as many as possible by maximizing the total value of items in the boxes. Provide an integer optimization formulation for this problem. Explain how you set your decision variables, constraints, and objective function. (b) Implement this problem in Excel, and compute an optimal solution. Are there any items not included in the boxes? Why do you think these items should not be included?