question archive The Otto Maddick Machine Tool Company produces two products, muffler bearingsand torqueamplifiers
The Otto Maddick Machine Tool Company produces two products, muffler bearingsand torqueamplifiers
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The Otto Maddick Machine Tool Company produces two products, muffler bearingsand torqueamplifiers. One muffler bearing requires18hour of assembly labor, 0.25 hours in the stampingdepartment, and 9 square feet of sheet steel. Each torque amplifier requires13hour in bothassemblyand stamping and uses 6 square feet of sheet steel. Current weekly capacities in the twodepartments are 400 hours of assembly labor and 350 hours of stamping capacity. Sheet steel costs15 cents per square foot. Muffler bearings can be sold for $8 each.Torque amplifiers can be soldfor $7 each. Unused capacity in either department cannot be laid off or otherwise fruitfully used.a)Formulate the LP useful in maximizing the weekly profit contribution.b)It has just been discovered that two important considerations were not included.i.Up to 100 hours of overtime assembly labor can be scheduled at a cost of $5 perhour.ii.The sheet metal supplier only charges 12 cents per square foot for weekly usage inexcess of 5000 square feet.Which of the above considerations could easily be incorporated in the LP model and how? Ifone or both cannot be easily incorporated, indicate how you might nevertheless solve the problem.
