Answer to Question #281644 in Math for AMO

Question

U=u(x1,x2)=(x1+2)^2(x2+3)3

find the marginal utility of each commodity

Answer 1

marginal utilities:

$MU_1=\frac{\partial u(x_1,x_2)}{\partial x_1}=2(x_1+2)(x_2+3)^3$

$MU_1=\frac{\partial u(x_1,x_2)}{\partial x_2}=3(x_1+2)^2(x_2+3)^2$