Korra has a utility function UA (X₁, X₂) = [X₁ + 2) x (X₂+3]²

She has income m and faces prices P1 and P2 fo goods 1 and 2 respectively. Find her optimal consumption bundle.

a. X*₁ = m+2P₁ - 3P₂/2P₁ , X*₂ = m-2P₁+3P₂/2p₂

b. X*₁ = m-3P₁ + 2P₂/3P₁, X*₂ = m+3P₁-2P₂/3P₂

c. X*₁= m-3P₁ + 2P₂/2P₂, X*₂ = m+3P₁-2P₂/2P₁

d. X*1 = m+2P₁ - 3P₂/3P₂, X*₂ = m-2P₁+3P₂/3P₁

_{e. none of thee options}