Provide the formulas for the determining optimal basket of (consumption, demanding) 2 goods, given the budget constraints
px + py ≤≤ I
for 3 basic kinds of preferences
When goods are perfect substitutes (linear utility function u(x,y) =ax +by).
Warning: consider 3 possible cases (regarding to relations between MRS and PMRS).
When goods are perfect complements (utility L-shaped function of Koopmans-Leontief u(x,y) = min(ax,by)
For Cobb-Douglas (power) utility function u(x,y) =
xy xy