How food allocated in sailors to ensure equality of utility

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There are 200 pounds of food on an island that must be allocated between 2 marooned sailors. The utility function of the first sailor is given by

Utility= ( F1)

Where F1 is the quantity of food consumed by the first sailor. For the second sailor utility (as a function of food consumption) is given by

Utility= 1/2 ( )F2

a.If the food was allocated equally between the sailors, how much utility will each receive

b.should food be allocated between the sailors to ensure equality of utility.

Reference no: EM13232782

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