A total of 725 auto-mode social/recreational trips are made from an origin (residential area) during the peak hour. A logit model estimation is made, and three factors were found to influence the destination choice: (1) population at the destination, in thousands (coefficient - 0.17); (2) distance from origin to destination, in miles (coefficient-.0.23); and (3) square feet of amusement floor space (movie theaters, video game centers, etc.), in thousands (coefficient- 0.10). Four possible destinations have the following characteristics: Population (thousands)Distance from origin Amusement space Population (thousands) (thousands of ft') 7.5 Destination 1 Destination 2 Destination 3 Destination 4 (mi) 15.5 6.0 0.8 5.0 10 2 15
(a) Determine the distribution of trips among possible destinations.
(b) If the total number of trips remains constant, determine the amount of amusement floor space that must be added to destination 2 to attract an additional 50 social/recreational trips.