In an Edgeworth box economy with goods x, y, and total endowment of each good of 20, draw out in each case the Pareto set for the following various utility functions of each person:
a. U1(x,y) = min(x,y); U2(x,y) = min(x,y)
b. U1(x,y) = min(x,y) ; U2(x,y) = min(x,2y)