Consider an exchange economy with two individuals and 2 commodities. The endowments of the commodities are 1 each. Which one of the following are Pareto Optimum.
a. {$\frac{1}{2},\frac{1}{2},(\frac{1}{2}\frac{1}{2})$} b. {$(\frac{1}{4},\frac{1}{4}),(\frac{1}{2}\frac{1}{2})$} c. {$(\frac{3}{4},\frac{3}{4}),(\frac{1}{2},\frac{1}{2})$} d. None of the above.
I have a hunch that it is d. I am assuming that preferences are perfect complements and hence all the options from a to c will give the two individuals lesser utility. Hence d. Is this the right way to go about it. If not, please help?