You decide to go hiking with your friends one weekend and decide to bring a single backpack. This backpack can hold 15 kilograms of stuff. You have 5 distinct items that you want to bring, each with a different weight and value. You want choose which items to put in your backpack in order to maximize their total value without exceeding the weight capacity. Additionally, if you bring box B, then D box cannot be selected at least one box of either box C or box E must be selected a. (12 pts) Develop an algebraic model for this problem. Do not solve in Excel. B $2 A $4 1 kg 12 kg ? 15 kg $22 kg $10 E 4 kg 1 kg