Problem:
Linear Programming : Corner Point Method
Dr Wu can cure colds with his 3 layer pills. They come in two sizes, regular and king size. Regular size contains 2 grains of aspirin, 5 grains of bicarbonate, and 1 grain of codeine. For king size, it is 1 grain of aspirin, 8 grains of bicarbonate, and 6 grains of codeine. Dr Wu shows that is requires at least 12 grains of aspirin, 74 grains of bicarbonate and 28 grains of codeine to affect his cure. Determine the least number of regular and king size pills he should prescribe to meet those requirements.