Set up and solve the problems in parts a and b. Set up but do not solve the problems in parts d and e.

4) A company makes two different products, Dingbats and Widgets, each of which is begun at one factory and finished at a second factory. Factory A has 1000 labor hours available per day and Factory B has 1200 labor hours available per day. Factory A works 10 hours on each Dingbat and 5 hours on each Widget, while Factory B works 6 hours on each Dingbat and 10 hours on each Widget. If only 100 Widgets can be sold, and if the profit on Dingbats is $50 and the profit on Widgets is $25, producing how many of each of these products will maximize profit?