b) An airline cargo company has l aeroplane which it flies from Bangladesh to Canada on a daily basis to transport some cargo. In advance of a flight, it receives bids for deliveries from customers. Customers state the weight of the cargo item they would like delivered, and the amount they are prepared to pay. The airline is constrained by the total amount of weight the plane is allowed to carry. The company must choose a subset of the packages to carry in order to make the maximum possible profit, given the weight limit that they must respect. In mathematical form the problem is: given a set of N items each with weight w, and value v, for i=l to N, choose a subset of items so that the total value carried is maximized, and the total weight carried is less than or equal to a given carrying capacity, C. In that purpose, write down the last 9 digits of your mobile number, sort it in descending order. Then pick the highest value as C (digit1), consider N=4 items with the next highest digits as follows: (w, v.) = (4, digit2), (1, digit3), (3, digit4), (2, digit5). Example: if the number is: 1684049627, then the descending order will be: 987664410. That means, the airline's weight constrained is C=9. The 4 customer's cargo items are: (4, 8), (1, 7), (3, 6), (2, 6).

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b) An airline cargo company has 1 aeroplane which it flies from Bangladesh to Canada on a daily
basis to transport some cargo. In advance of a flight, it receives bids for deliveries from
customers. Customers state the weight of the cargo item they would like delivered, and the
amount they are prepared to pay. The airline is constrained by the total amount of weight the
plane is allowed to carry. The company must choose a subset of the packages to carry in order
to make the maximum possible profit, given the weight limit that they must respect.
In mathematical form the problem is: given a set of N items each with weight w, and value vi,
for i=l to N, choose a subset of items so that the total value carried is maximized, and the
total weight carried is less than or equal to a given carrying capacity, C. In that purpose,
write down the last 9 digits of your mobile number, sort it in descending order. Then pick the
highest value as C (digit1), consider N=4 items with the next highest digits as follows: (w V.) =
(4, digit2), (1, digit3), (3, digit4), (2, digit5).
Example: if the number is: 1684049627, then the descending order will be: 987664410. That
means, the airline's weight constrained is C=9.
The 4 customer's cargo items are: (4, 8), (1, 7), (3, 6), (2, 6).
Transcribed Image Text:b) An airline cargo company has 1 aeroplane which it flies from Bangladesh to Canada on a daily basis to transport some cargo. In advance of a flight, it receives bids for deliveries from customers. Customers state the weight of the cargo item they would like delivered, and the amount they are prepared to pay. The airline is constrained by the total amount of weight the plane is allowed to carry. The company must choose a subset of the packages to carry in order to make the maximum possible profit, given the weight limit that they must respect. In mathematical form the problem is: given a set of N items each with weight w, and value vi, for i=l to N, choose a subset of items so that the total value carried is maximized, and the total weight carried is less than or equal to a given carrying capacity, C. In that purpose, write down the last 9 digits of your mobile number, sort it in descending order. Then pick the highest value as C (digit1), consider N=4 items with the next highest digits as follows: (w V.) = (4, digit2), (1, digit3), (3, digit4), (2, digit5). Example: if the number is: 1684049627, then the descending order will be: 987664410. That means, the airline's weight constrained is C=9. The 4 customer's cargo items are: (4, 8), (1, 7), (3, 6), (2, 6).
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