Sim has utility function U^B(X₁,X₂)=(X₁+2)(X₂+3). He also has income m, and faces prices P₁ and P₂ for goods 1 and 2 respectively.

What is Jamal's MRS of good 1 for good 2?

What is his optimal choice of goods 1 and 2 as functions of his income and prices?

Kendra has utility function UA(X1,X2)=[(X1+2)(X2+3)]2. She has the same income as Sim, and faces the same prices. Find her optimal consumption bundle.

A third consumer, Linda has preferences(1,2)=(1+2)2(2+3) and the same income as Sim and Kendra. Find her optimal consumption bundle.

How does Linda's consumption differ from Kendra's?