Major General Haroon, 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. Haroon recognizes that there are 168 hours per week and thinks that his students have been using them rather inefficiently. Haroon lets

X1=number of hrs sleep needed per week
x2= number of personal hrs
x3= number of hours of study
x4= number of hours of sicial activity

He thinks that students should study 30 hours a week to have time to absorb material. This is his most important goal. Haroon 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.