申論題

5. A wilderness hiker must pack three items: food, first-aid kits, and clothes. The backpack has a capacity of 3 ft³. Each unit of food takes 1 ft³. A first-aid kit occupies 1/4 ft³, and each piece of cloth takes about 1/2 ft³. The hiker assigns the priority weights 3, 4, and 5 to food, first aid, and clothes, respectively, which means that clothes are the most valuable of the three items. From experience, the hiker must take at least one unit of each item and no more than two first-aid kits. How many of each item should the hiker take? (10%)