woodet PLC has two automated machine groups A and B through which timber is pasa order to produce we models of an item of sports equipment. The models are cate "raditional" and "High-tech e following forecast information is available for the year to 31 December "Traditional Maximum sales potential (units) Equipment unit data Selling price 6.000 R90 Machine time Group A (hours) 04 Group B (hours) 05 Machine groups A and B have maximum operating hours of 3.400 and 3 840 respectively The sports equipment production is the sole use available for the production capacity High-tech 10 000 R100 0.5 04 quired: The maximum quantity of timber available is 34 000 metres Each product unit requires 4 metres of timber Timber may be purchased in lengths as required at R5 per metre Variable machine overhead cost for machine groups A and B is estimated at R25 and R30 per machine hour All units are sold in the year in which they are produced Using linear programming, Identify the optimal production mix for December