Question: *** Please Solve and show Excel Formulas and Solver Constraints*** Please and Thanks <3 A group of college students is planning a camping trip during
*** Please Solve and show Excel Formulas and Solver Constraints*** Please and Thanks <3
A group of college students is planning a camping trip during the upcoming break. The group must hike several miles through the woods to get to the campsite, and anything that is needed on this trip must be packed in a knapsack and carried to the campsite. One particular student, Tina Shawl, has identified eight items that she would like to take on the trip, but the combined weight is too great to take all of them. She has decided to rate the utility of each item on a scale of 1 to 100, with 100 being the most beneficial. Each items weight in pounds and utility value are given below.
| Item | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 |
| Weight | 8 | 1 | 7 | 6 | 3 | 12 | 5 | 14 |
| Utility | 80 | 20 | 50 | 55 | 50 | 75 | 30 | 70 |
Suppose item 3 is an extra battery pack, which may be used with several of the other items. Tina has decided that she will take item 5, a CD player, only ifshe also takes item 3. On the other hand, if she takes item 3, she may or may not take item 5.
Recognizing that the hike to the campsite is a long one, a limit of 35 pounds has been set as the maximum total weight of the items to be carried.
A. Formulate an algebraic model for this 0-1 programming problem to maximize the total utility of the items carried. Must be presented in the excel file.
B. Input and solve the knapsack problem (an IP problem) using Excel
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