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There are 1250 kilograms of food that has to be allocated between two sailors on a...

There are 1250 kilograms of food that has to be allocated between two sailors on a deserted island. The utility function of the first sailor is given by U 1 = F1

where F1 is the quantity of food consumed by the first sailor. For the second sailor utility is given by U 2 = 2 F2

A.If the food is allocated equally between the sailors how much utility will each receive?

B.How should food be allocated so as to maximize the sum of sailors’ utilities?

C.Suppose that both sailors agree on a social welfare function of the form U12.U22 .

How should food be allocated between the sailors so as to maximize social welfare?

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