At Lummins Engine Corporation, production employees work 10 hours per day, four days per week. Each day of the week, at least the following number of employees must be working: Monday through Friday,...

At Lummins Engine Corporation, production employees work 10 hours per day, four days per week. Each day of the week, at least the following number of employees must be working: Monday through Friday, seven employees; Saturday and Sunday, three employees. Lummins has set the following goals, listed in order of priority:

■ Goal 1: Meet employee requirements with 11 workers.

■ Goal 2: The average number of weekend days off per employee should be at least 1.5 days.

■ Goal 3: The average number of consecutive days off an employee gets during the week should not exceed 2.8 days. Use goal programming to determine how to schedule Lummins employees.