1. Janice's Carpentry Shop makes bookcases and desks. Each item is crafted in two phases: first it is built, then coats of finish are applied. Not all of the workers can do both jobs. Each bookcase takes 5 hours to build and 4 hours to finish, and each desk takes 10 hours to build and 3 hrs to finish. Each month the shop has 300 hours of labor available for building and 240 hours available for finishing. The profit on each bookcase is $40 and on each desk is $75. How many of each product should be made to maximize the shop's profit? Show the complete reasoning for your solution to explain to Janice how you did your work and to convince her that you are right. ​