Suppose that maggie cares only about chai and bagels. her utility function is u = cb, where c is goolsbee2e_ch04_appendix. indd 153 30/07/15 12: 36 pm 154 part 2 consumption and production the number of cups of chai she drinks in a day, and b is the number of bagels she eats in a day. the price of chai is $3, and the price of bagels is $1.50. maggie has $6 to spend per day on chai and bagels. a. what is maggie’s objective function? b. what is maggie’s constraint? c. write a statement of maggie’s constrained optimization problem. d. solve maggie’s constrained optimization problem using a lagrangian