Problem 1. Use of Inventory Your factory manufactures 4 items, each requiring the use of 4 components, in varying amounts. Your objective is to select the quantities of the 4 items to utilize al of the inventory on these 4 components. Component 1 Component 2 Component 3 Component 4 use in parts Item 1 Item 2 Item 3 Item 4 Inventory: Component 1: 133 units Component 2: 79 units Component 3: 57 units Component 4: 87 units part(a): How much of each item do you manufacture, with the inventory you have? part b): How much inventory of each item would be necessary if you want to produce the following quantities? Item 1 120 Item 4 93 Item 2 Item 3 57 78