Suppose you have a mode choice model with three modes: Bicycle, subway, and personal auto. The utility function for each mode is given by the following equation: Up = Bm 0.02 ,y 0.1, where c,, is the out-of-pocket cost by mode m in dollars, and t,, is the travel time by mode m in minutes, and f,, is the mode bias, which is 0 for bicycle, 0.50 for subway and 1.2 for auto. A: Predict the number of trips by each mode for travel times of 30 min., 15 min. and 10 min., and costs of $1.50, $2.50, and $4.00, for bicycle, subway, and personal auto respectively. B: Repeat part A for a case where the cost by auto increases to $5.50 due to increased parking rates. C: Repeat Part A for a case where the time by subway (public transit) decreases to 10 minutes due to improved efficiency