A manufacturer of electronic calculators produces its goods in Dallas, Chicago, and Boston, and maintains regional warehousing distribution centers in Philadelphia, Atlanta, Cleveland, and Washington, D.C. The company’s staff has determined that shipping costs are directly proportional to the distances from factory to storage center, as listed here.
The cost per calculator-mile is $0.0002 and supplies and demands are:
a) Use the Vogel approximation method to arrive at an initial feasible solution.
b) Show that the feasible solution determined in (a) is optimal.
c) Why does the Vogel approximation method perform so well, compared to other methods of finding an initial feasible solution?
Colonel Cutlass, having just taken command of the brigade, has decided to assign men to his staff based on previous experience. His list of major staff positions to be filled is adjutant (personnel officer), intelligence officer, operations officer, supply officer, and training officer. He has five men he feels could occupy these five positions. Below are their years of experience in the several fields.
Who, based on experience, should be placed in which positions to give the greatest total years of experience for all jobs? (Hint. A basis, even if degenerate, is a spanning tree.)