1. Rosenberg Land Development ( RLD) is a developer of condominium properties in the Southwest United States. RLD has recently acquired a 40.625- acre site outside Phoenix, Arizona. Zoning restrictions allow at most 8 units per acre. Three types of condominiums are planned: one-, two-, and three- bedroom units. The average construction costs for each type of unit are $ 450,000, $ 600,000, and $ 750,000, respectively. These units will generate a net profit of 10%. The company has eq-uity and loans totaling $ 180 million dollars for this project. From prior develop-ment projects, senior managers have determined that there must be a minimum of 15% one- bedroom units, 25% two- bedroom units, and 25% three- bedroom units. a. Develop a linear optimization model to determine how many of each type of unit the developer should build. b. Implement your model on a spreadsheet and find an optimal solution. c. Explain the value of increasing the budget for the project. 2. Van Nostrand Hospital must schedule nurses so that the hospital's patients are provided with adequate care. At the same time, in the face of tighter compe-tition in the health care industry, careful attention must be paid to keeping costs down. From historical records, administrators can project the minimum number of nurses to have on hand for the various times of day and days of the week. The nurse- scheduling problem seeks to find the minimum total number of nurses required to provide adequate care. Nurses start work at the beginning of one of the 4hour shifts given next and work for 8 hours. Formulate and solve the nurse- scheduling problem as an integer program for one day for the given data. Shift Time Minimum Number of Nurses Needed 1 12: 00 A. M.- 4: 00 A. M. 5 2 4: 00 A. M.- 8: 00 A. M. 12 3 3 8: 00 A. M.- 12: 00 P. M. 14 4 4 12: 00 P. M.- 4: 00 P. M. 8 5 4: 00 P. M.- 8: 00 P. M. 14 6 8: 00 P. M.- 12: 00 A. M. 10