develop a summer tour schedule for the band that will maximize the attendance

Case Problem SCHEDULING THE LEAD BALLOON'S SUMMER TOUR The Lead Balloon is a popular '80s rock band that broke up in the 1990s but recently got back together to publish a new CD and go on tour. They want to schedule a summer tour that will encompass 16 possible cities in the eastern. half of the United States. However, because of family and business commitments, plus the fact they are not so young and energetic as they used to be, the tour will encompass CHOO only 12 weeks, from mid-May to mid-August, when their children will be out of school, so that their families can join them on the tour most of the time. The band also. wants to limit the number of concerts each week. Follow- ing is a list of the possible cities with the weeks that the City Atlanta Boston Cincinnati Charlotte Cleveland. Dame Detroit DC DC Phile Philadelphia Dalle Dallas V Miami Orland Orlando Houston Indianapolis. Nashville Chicago New York 3 X X May X X X X 4 Case Problem X X X X X X X X X X 1 X X X X X 2 June 4 1 2 3 X X X X X X X X X X X X X X X X NO X X X X X X X X X X X X X X X X X X >> X X 3 X X X X X X DEVELOPING KATHLEEN TAYLOR'S 401(K) PLAN Kathleen Taylor has been working for a government con- tractor, Summit Solutions, in Washington, DC, for over a year. She is now eligible to participate in the company's local arenas in each city will be available (marked with an X) during the tour. Also included is the concert capac- ity of the arena in each city. Based on its popularity and fame it is a foregone con- clusion that the band will sell out everywhere it goes. Thus, the band wants to schedule the cities that will maxi- mize the total attendance at its concerts, which basically means it wants to schedule the cities with the largest are- nas, if possible. The band has also stipulated that it wants to perform at least one concert but no more than two con- certs each week. Also, because of the band's high-tech equipment and gear, and sound and stage setup require- ments, logistical constraints limit the travel between two cities in any one week to 500 miles. Develop a summer tour schedule for the band that will maximize total attendance. July X 4 X X X August 1 X X X CASE PROBLEM X X X X 2 X xx X X X X X X X 231 Capacity 19,500 18,500 16,200 17,600 60 800 22,700 64000 24,200 21 600 21,500 www 21,300 17,400 1200 15,700 Beton 16,300 10.000 18,200 25,400 16,500 22,800 20,700 401(k) retirement plan. The company has provided Kathleen with the information in the table on the following page about the various funds that are available for her to invest in.