ect Question 9 0/1 pts A student has a backpack with 1 cubic feet of space (volume) that can be filled each morning before school. Each item considered has a value to the student and takes up some space in the backpack. The items with their volume requirements and value are shown in the list below and are provided in the quiz workbook. The student wishes to choose the items that fit in the backpack with the greatest total value. Item Apple Call of the Wild Good Bars Journal Laptop Stat Book Water Bottle Space Required (cubic feet) 0.12 0.24 0.25 0.30 0.45 0.35 0.22 Value 15 28 24 30 60 42 30 Which of the following statements are true? This problem has 7 decision variables. This problem has 8 constraints not including non-negativity or integer constraints. The greedy solution would always pick the item with the highest value first. The decision variables take on only binary values in this problem. Exactly two of the answers are correct. Exactly three of the answers are correct. ect Question 10 0/1 pts A student has a backpack with 1 cubic feet of space (volume) that can be filled each morning before school. Each item considered has a value to the student and takes up some space in the backpack. The items with their volume requirements and value are shown in the list below and are provided in the quiz workbook. The student wishes to choose the items that fit in the backpack with the greatest total value. Item Apple Call of the Wild Good Bars Space Required (cubic feet) 0.12 0.24 0.25 0.30 0.45 0.35 0.22 Value 15 28 24 30 60 42 30 Journal Laptop Stat Book Water Bottle Which of the following statements are true? The optimal solution value is 125. . The optimal solution includes the journal. . The sensitivity report says that each additional cubic foot of space is worth 120 in value. . The optimal solution includes the apple Exactly two of the answers are correct. None of the answers are correct. Incorrect Question 11 0/1 pts A student has a backpack with 1 cubic feet of space (volume) that can be filled each morning before school. Each item considered has a value to the student and takes up some space in the backpack. The items with their volume requirements and value are shown in the list below and are provided in the quiz workbook. The student wishes to choose the items that fit in the backpack with the greatest total value. Item Apple Call of the Wild Good Bars Journal Laptop Stat Book Water Bottle Space Required (cubic feet) 0.12 0.24 0.25 0.30 0.45 0.35 0.22 Value 15 28 24 30 60 42 30 If an extra 0.2 cubic feet of items can be included by stretching the backpack, which of the following statements are true? There is no change to the current optimal solution. One additional item is added to the current optimal solution (nothing is removed). The journal is removed from the backpack. The value of the items in the backpack increases by 30. Exactly two of the answers are correct. None of the answers are correct. A B D Pack it Up Space Required (cubic feet) 0.12 Item Apple Call of the Wild Value 15 28 0.24 Good Bars 0.25 24 30 60 Journal Laptop Stat Book Water Bottle 0.30 0.45 0.35 0.22 42 30