Derive the contract curve in an exchange economy where there are two traders with utility functions: Trader A: U A = X A 0.5 Y A 0.5 Trader B: U B = X B 0.5 Y B 0.5 Between the traders they own 50 units of good X and 100 units of good Y.

Derive the contract curve in an exchange economy where there are two traders with
utility functions:
Trader A: U A = X A 0.5 Y A 0.5
Trader B: U B = X B 0.5 Y B 0.5
Between the traders they own 50 units of good X and 100 units of good Y.