John\'s house is on fire and he is inside...he doesn\'t have to much time, so th
ID: 391475 • Letter: J
Question
John's house is on fire and he is inside...he doesn't have to much time, so the only thing he can do is to run as faster as possible to the outside. Unfortunately, he has a relatively small backpack which helps him to carry at most 40 lbs. Possessing a discriminating eye, he can immediately determine how much the items worth. There are 4 different items available. His aim is to maximize the dollar value of the stuff carried away, the overall weight being less than the weight he can carry by using his backpack. Weight and value of each item is given in the following table. Item Weight(lbs.) Value(S) Available 30 18 50 24 15 12 45 20 4 What will be the first item that he should choose? O Item 1 O Item 2 O Item 3 Item 4Explanation / Answer
As the backpack has the capacity of only 40 lbs, the weight limit is only 40lbs. And given that we need to maximize the dollar value of the items we take.
And there are only 4 items of 1 no. each.
Item 3 is already weighing 50 lbs, hence ruled out.
Out of the remaining three items, there is no possibility of taking two items together as the cumulative weight will cross 40 lbs, so only one can be taken.
out of the three items, item 1,2 and 4. item 4 has the greatest dollar value.
Hence the answer is item 4. So it is advisable to take item 4 as it is within the weight limit of 40 lbs and has the high dollar value compared to others
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