a) Suppose you decide to split the 100 units of X in a way that maximises an

additive social welfare function: W = UC + UM. How many units of X do the

cheerful people get and how many units do the mournful people get? i.e. find

XC and XM that maximises W, subject to the constraint.

b) Suppose, instead, you have a Rawlsian perspective with a social welfare

function: W = min(UC,UM). How many units of X do the cheerful people get and

how many units do the mournful people get?

c) Finally, suppose you are a Libertarian so care about having a process rather

than considering the outcome. How many units of X do the cheerful people get

and how many units do the mournful people get?

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