A manufacturing firm has discontinued production of a certain unprofitable product line. Considerable excess production capacity was created as a result. Management is considering devoting this excess capacity to one or more of three products X1, X2, X3. 

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Machine hours required per unit: Type X1 X2 Milling 8 2 Lathe 4 3 Grinder 2 0 X3 3 0 1 Available machine time: Hours per week 800 480 320 Type Milling Lathe Grinder Profit per unit: Type Unit profit ($) X1 20 X2 6 X3 8 Machine hours required per unit: Type X1 X2 Milling 8 2 Lathe 4 3 Grinder 2 0 X3 3 0 1 Available machine time: Hours per week 800 480 320 Type Milling Lathe Grinder Profit per unit: Type Unit profit ($) X1 20 X2 6 X3 8