Pareto efficiency and Competitive Equilibrium

Posted by Sia on Feb 14, 2017; 4:43pm
URL: http://discussion-forum.276.s1.nabble.com/Pareto-efficiency-and-Competitive-Equilibrium-tp7603189.html

Agent a utility function min(x,2y) endowment (4,0)
Agent b utility function min(2x+y,x+2y) endowment  (0,3)

Find out:

1- Pareto optimal allocation

2- Competitive equilibrium prices and allocations

3-Utility possibility frontier

 Will the pareto efficient allocations be the y2 axis?
Please help me with a detailed answer.