For a particular process, originally each 200 units of product manufactured yielded 180 conforming units, 9 units that must be scrapped, and the remaining units that must be reprocessed. Each scrapped unit results in a $30 loss and each reprocessed unit requires an extra 0.45 hours of processing time. The resource time of producing the original 200 units is 30 hours. As a result of a quality improvement program that was recently introduced, for each 200 units manufactured, the process now yields 190 conforming units, 4 unit to be scrapped, and the remaining units that must be reprocessed. Calculate the productivity (in units per hour) for the original process
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For a particular process, originally each 200 units of product manufactured yielded 180 conforming units, 9 units that must be scrapped, and the remaining units that must be reprocessed. Each scrapped unit results in a $30 loss and each reprocessed unit requires an extra 0.45 hours of processing time. The resource time of producing the original 200 units is 30 hours. As a result of a quality improvement program that was recently introduced, for each 200 units manufactured, the process now yields 190 conforming units, 4 unit to be scrapped, and the remaining units that must be reprocessed. Calculate the productivity (in units per hour) for the original process.
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- The Electrocomp Corporation manufactures two electrical products: air conditioners and large fans. The assembly process for each is similar in that both require a certain amount of wiring and drilling. Each air conditioner takes 3 hours of wiring and 2 hours of drilling. Each fan must go through 2 hours of wiring and 1 hour of drilling. During the next production period, 240 hours of wiring time are available and up to 140 hours of drilling time maybe used. Each air conditioner sold yields a profit of $25. Each fan assembled may be sold for a $15 profit. Formulate and solve this LP production mix situation to find the best combination of air conditioners and fans that yields the highest profit. Use the corner point graphical approachDuluth Electronics makes two types of scooters: Falcon and Hawk. The Falcon model has a lighter engine and a smaller frame to make novice riders easier to balance. The Hawk is a little bigger and uses a heavier engine. Falcon requires 6 hours of manufacturing time and Hawk takes only 3 hours. Duluth's main plant in Kentucky has 2,100 hours of engine manufacturing time available. Duluth's vendors have the ability to supply as many Falcon frames as needed, but they only provide 280 Hawk frames. Falcon requires 2 hours of testing and 2.5 hours for Hawk. There are only 1,000 hours available for testing. The finance department estimates that the Falcon model contributes a profit of $2,400 and the Hawk $1,800. Determine the optimal solution for this problem. Recommend what you think is a good strategy for Duluth, given your computations. Type your final answers in the space provided and show your graph in the solutions file (no need for hand-drawn graphs, but the feasible region should be…Dalton Desk makes two different types children's desks: a regular model (R) and a deluxe model (D) with an extra shelf for book storage. Both types of desks go through Daltons' three production departments: fabrication, assembly, and packing/shipping, but required a different number of minutes in each department. For example, the regular desk needs 60 minutes of fabrication time, 45 minutes of assembly, and 15 minutes in packing & shipping. The deluxe model needs 120 minutes of fabrication time, 60 minutes in assembly, and 20 minutes in packing & shipping. Dalton has 850 hours of production time available in fabricating department, 450 hours available in its assembly department, and 200 hours available in its packaging and shipping department. Dalton reports unit profits of $6 and $8 for its regular and deluxe desks, respectively. What is the objective function? What is the fabrication constraint? What is the assembly constraint?What is the Shipping and Packing constraint?
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