A transistor radio Co., manufactures models A, B, and C which have profit contribution of Birr 16, Birr 30 and Birr 50 respectively. The weekly minimum production requirements are 20 for model A, 120 for model B, and 60 for model C. Each type of radio requires a certain amount of time for the manufacturing of component parts, assembly and packaging. Specifically a dozen unit of model A requires 3 hrs for manufacturing of component parts, 4b hrs for assembly and 1 hr for packaging. The corresponding figure for a dozen unit of model B is 3.5, 5 and 1.5 and for a dozen unit of C are 5, 8, and 3 hrs. During the forth coming week, the company has availability of 120 hrs of manufacturing, 160 hrs of assembly, and 45 hrs of packaging time. Required: a) Formulate the scheduling problem as LPM. b) Solve the problem using simplex method c) Identify basic and non basic variables at each iteration