Sarah and Andrew are two traders in a pure exchange economic with two goods, Bikes (B) and Computers (C). Sarah's preferences are described by the Cobb-Douglas Utility function: s=Bs^1/3Cs^2/3 Andrew's preferences are given by: Ua=Ba^1/2Ca^1/2 Assume the price of Bikes is 1 and the price of computers is p. The initial endowments are BA = 10, BS = 20, CA = 20 and CS = 10.

Solve for the competitive equilibrium prices (relative prices) and equilibrium quantities.

Thanks in advance!