Serena consumes popsicles (X) and ice cream cones (Y). Her utility function given by U (x,y) = 3xy. The price of a popsicle is $2, and the price of an ice cream cone is $3. Serena has $40 dollars to spend.
A.) Set up the Lagrangian for the consumer maximization problem.
B.) Find Serena's optimal consumption bundle of popsicles and ice cream cones.