4. A thief enters a house for robbing it. He can carry a maximal weight of 15 kg into his bag. There are 7 items in the house with the following weights and values. What items should the thief take if he can even take the fraction of any item with him? Show all your work. (20 point) Item Weight (kg) Value ($) 1 2 10 2 3 5 3 5 15 4 7 7 5 1 6 6 4 18 7 1 3
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We will start by taking the item with the highest value per unit weight. Show more…
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A hiker plans to go on a camping trip. There are five items the hiker wishes to take with her, but together they exceed the 60-lb weight limit she feels she can carry. To assist herself in the selection process, she has assigned value to each item in ascending order of importance: Which items should she take to maximize the total value without exceeding the weight restriction?
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