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Suppose that Paul has the following utility function: U-4AP+OPU-4AP+OP Suppose that David has the following utility function: U=AD+5ODU=AD-SOD where A_(P) and O_(P) are Paul's

Suppose that Paul has the following utility function: U-4AP+OPU-4AP+OP Suppose that David has the following utility function: U=AD+5ODU=AD-SOD where A_(P) and O_(P) are Paul's consumptions of apples and oranges and A_(D) and O_(D) are David's consumptions of apples and oranges. The total supply of apples and oranges to be divided between them is 16 apples and 16 oranges. The "fair" allocations consist of all allocations satisfying options: 4*A_(P)+O_(P) is at least 80 and 2*A_(D)+5*O_(D) is at least 96. A_(D)+O_(D) is at least 16 and A_(P)+O_(D) is at least 16. 8*A_(P) + 2*O_(P) is at least 80 and 2*A_(D) + 10*O_(D) is at least 96. A_(D) =A_(P) and O_(D) = O_(P)

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