Question: A knapsack is being loaded for a camping trip. This knapsack has a maximum weight-carrying limit and a maximum load size limit. The camper can
A knapsack is being loaded for a camping trip. This knapsack has a maximum weight-carrying limit and a maximum load size limit. The camper can choose from 4 different food items to put into the knapsack. The selected items must maximize the overall number calories and provide at least a minimum number of grams of protein while not exceeding the maximum load size and weight-carry capacity of the knapsack.
The knapsacks load cannot exceed a weight of 10 kilograms or a volume of 0.125 m3. The load of food items must contain at least 200 grams of protein.
The load may contain any number of each of the 4 following food items:
- Candy Bar
- Sandwich
- Can of Juice
- Apple
Specific information about each food items are as follows:
| Object | Calories per Project | Protein (grams) per Object | Weight (kg) per Object | Volume (m^3) per Object |
| Candy Bar | 90 | 5 | 0.25 | 0.0005 |
| Sandwich | 130 | 40 | 0.35 | 0.002 |
| Juice Can | 100 | 15 | 0.35 | 0.00075 |
| Apple | 40 | 3 | 0.3 | 0.0009 |
| Total | ||||
| * The knapsacks load cannot exceed a weight of 10 kilograms | ||||
| ** The knapsacks load cannot exceed a volume of 0.123 m^3 | ||||
| *** The load of food items must contain a least 200 grams of protein | ||||
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