An ABC company produces products X, Y, and Z. The company sets up the following LP to decide the production level of the three products. MAX 4X + 4Y + 3Z SUBJECT TO 2X + 6Y + 4Z

where objective coefficients 4, 4, and 3 are unit profits of X, Y, and Z. The first two constraints are labor availability and material availability constraints, respectively, and the last three rows are market share constraints. Due to a printer problem, some data in the LP output are missing. Supply the missing data and provide calculations or explanations for your answer. DO NOT just run LINDO.

P OPTIMUM FOUND AT STEP OBJECTIVE FUNCTION WALUE 27.00000 VALUE VARIABLE REDUCED COST 3.000000 0.000000 5.000000 0.000000 ROW SLACK OR SURPLUS 0.000000 0.000000 4.000000 3.000000 1.000000 DUAL PRICES 0.500000 1.000000 0.000000 0.000000 0.000000 5) O. ITERATIONS- ANGES IN WHICH THE BASIS IS UNCHANGED OBJ COEFFICIENT RANGES ALLOWABLE ARIABLE CURRENT COEF 4.000000 4.000000 3.000000 ALLOWABLE 2.500000 0.714286 INCREASE DECREASE 5.000000 1.000000 5.000000 P OPTIMUM FOUND AT STEP OBJECTIVE FUNCTION WALUE 27.00000 VALUE VARIABLE REDUCED COST 3.000000 0.000000 5.000000 0.000000 ROW SLACK OR SURPLUS 0.000000 0.000000 4.000000 3.000000 1.000000 DUAL PRICES 0.500000 1.000000 0.000000 0.000000 0.000000 5) O. ITERATIONS- ANGES IN WHICH THE BASIS IS UNCHANGED OBJ COEFFICIENT RANGES ALLOWABLE ARIABLE CURRENT COEF 4.000000 4.000000 3.000000 ALLOWABLE 2.500000 0.714286 INCREASE DECREASE 5.000000 1.000000 5.000000