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

What are the solutions of the system? solve by graphing. y = -x^2 -6x - 7 y = 2

What fraction is equivalent to 0.46464646··· a. 46⁄99 b. 46⁄999 c. 46⁄100 d. 23⁄50

In 2000, for a certain region, 27.1% of incoming college freshman characterized their political views as liberal, 23.1% as moderate, and 49.8% as conservative. for this year, a random sample of 400 incoming college freshman yielded the frequency distribution for political views shown below. a. determine the mode of the data. b. decide whether it would be appropriate to use either the mean or the median as a measure of center. explain your answer. political view frequency liberal 118 moderate 98 conservative 184 a. choose the correct answer below. select all that apply. a. the mode is moderate. b. the mode is liberal. c. the mode is conservative. d. there is no mode.