1. Solve the following word problem. For full credit list all equations for the system. 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 102 hours for cleaning. In addition because of its popularity they plan on purchasing more of the large flatbed trucks. Their research shows they should purchase 4 more than double the amount of small flatbeds. How many of each kind of truck should they purchase