Question: 4) Captain Hook, Captain Sparrow, and Captain Crunch have found some treasure. They can't agree on how to split their newly found riches, and so

4) Captain Hook, Captain Sparrow, and Captain

4) Captain Hook, Captain Sparrow, and Captain Crunch have found some treasure. They can't agree on how to split their newly found riches, and so they have asked you for help. To start, you ask them to assign "value points to all of the items under consideration, so that the points add up to 100. Their valuations are shown below: Item Captain Hook Captain Sparrow Captain Crunch Gold coins 40 30 5 Jewels 5 Spices Cereal 5 1 2 3 4 10 45 5 25 40 10 80 Assume that the items can be divided fractionally. For example, Captain Hook can receive 50% of the gold coins, Captain Sparrow can receive 30%, and Captain Crunch can receive the remaining 20%. In this case, Captain Hook gets 0.5 x 40 = 20 value points, Captain Sparrow gets 0.3 x 30 = 9 value points, and Captain Crunch gets 0.2 * 5 = 1 value point. Formulate a linear program that determines how to allocate the treasure between Captain Hook, Captain Sparrow and Captain Crunch, in a way that maximizes the minimum total value points of any captain. Solve the resulting model in GAMS

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