In: Advanced Math
1. Solve the following word problem. You should get infinite solutions. So find the pattern for them and give a range of t values that is possible based on the word problem. A trucking company plans on buying 4 kinds of trucks: a pick-up, a small flatbed, a large flatbed, and a dump truck. The pick-up needs one worker to operate, 4 hours of maintenance and 3 hours of cleaning. The small flatbed needs one worker to operate, 1 hour of maintenance and 1 hour of cleaning. The large flatbed needs one worker to operate, 3 hours of maintenance and 2 hours of cleaning. The dump truck needs 2 workers to operate, 3 hours of maintenance and 2 hours of cleaning. If the company has exactly 46 workers, exactly 140 hours for maintenance and exactly 112 hours for cleaning. How many of each kind of truck should they purchase?