A local news channel plans a 54-minute Saturday morning news show. The show will be divided into three segments involving sports, news, and weather. Market
research has shown that the sports segment should be at least twice as long as the weather segment. The total time taken by the sports and weather segments should
be at least twice the time taken by the news segment. On the basis of the market research, it is believed that 20, 65, and 50 (in thousands) viewers will watch the
program for each minute the sports, news, and weather segments, respectively, are on the air. Use the simplex method to complete parts (a) and (b).