3.1-11.* The Omega Manufacturing Company has discontinued the production of a certain unprofitable product line. This act cre- ated considerable excess production capacity. Management is con- sidering devoting this excess capacity to one or more of three prod- ucts; call them products 1, 2, and 3. The available capacity on the machines that might limit output is summarized in the following table: Available Time Machine Type (Machine Hours per Week) Milling machine Lathe 500 350 Grinder 150 The number of machine hours required for each unit of the re- spective products is Productivity coefficient (in machine hours per unit) Machine Type Product 1 Product 2 Product 3 Milling machine Lathe 5 5 4 Grinder 3 2