Jamal has a utility function of Ub = X₁, X₂ = (X₁ +2) x (X₂ + 3). He also has income m and faces price P1 and Ps for goods X1 and X2 respectively.

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

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 - 2P₂/2P₂

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

_{e. none of these options}