Major Bill Bligh, director of the Army War College's new 6-month attaché training program, is concerned about how the 20 officers taking the course spend their precious time while in his charge. Major Bligh recognizes that there are 168 hours per week and thinks that his students have been using them rather inefficiently. Bligh lets:
X1 = number of hours of sleep needed per week
X2 = number of personal hours
X3= number of hours of class and studying
X4 = number of hours of social time off base
He thinks that students should study 30 hours a week which is the most important goal.
He believes they need at most 7 hours of sleep a night on average which is the 2nd goal.
He thinks that the 3rd goal is to provide at least 20 hours per week of social time.
a) 1. Formulate this as a goal programming problem
b) 2. Solve the problem
d1- = underachievement of class and study goal
d1+ = overachievement of class and study goal
d2+ = overachievement of sleeping goal
d3- = underachievement of social time goal
This solution helps Major Bill Bligh to figure out a better time management plan for his officers by formulating a goal programming problem and solving it. All steps are shown with brief explanations.