A machine shop specializes in two types of product-bearings and armatures. The production of the bearings and armatures requires three operations - forging, machining, and finishing. Manufacturing a bearing requires 3.6 hours of forging. 10.8 hours of machining, and 2.4 hours of finishing. Manufacturing a armature requires 2.4 hours of forging, 4.8 hours of machining, and 12 hours of finishing. The factory has allocated at most 79.2 labor hours for forging, 216 labor hours for machining, and 240 labor hours for finishing. The profit per bearing is $108 and the profit per armature is $90. 1. How many bearings and how many armatures should be produced each day to maximize the profit? 2. Should we reduce hours on any employees in any departments? Please fully support your answer below