Suppose a Consumer Has M = $200 to Spend on Two

Multiple Choice

Suppose a consumer has M = $200 to spend on two goods, X and Y.If the per-unit prices of X and Y are respectively given by P_X = $2 and P_Y = $4, then to maximize utility subject to a budget constraint can be solved by form which of the following Lagrangian?

A) ? = U(X,Y) + $\lambda$ (200 - 2X - 4Y) .
B) ? = U(X,Y) + $\lambda$ (200 - 2P_X - 4P_Y) .
C) ? = (200 - 2X - 4Y) + $\lambda$ U(X,Y) .
D) ? = U(X,Y) + $\lambda$ (2X - 4Y + 200) .