Major Bill Bligh, director of the Army War College's new 6-month attach training program, is concerned about

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 1eating, personal hygiene, handling laundary, and so on2

X3 = number of hours of class and studying

X4 = number of hours of social time off base 1dating, sports, family visits, and so on2

He thinks that students should study 30 hours a week to have time to absorb material. This is his most important goal. Bligh feels that students need at most 7 hours sleep per night on average and that this goal is number 2. He believes that goal number 3 is to provide at least 20 hours per week of social time.

(a) Formulate this as a goal programming problem.

(b) Solve the problem using computer software.