G And P Manufacturing Would Like To Minimize The Labor Cost Of Producing Dishwasher Motors For A Major Appliance Manufac 1 (142.02 KiB) Viewed 22 times
G and P Manufacturing would like to minimize the labor cost of producing dishwasher motors for a major appliance manufacturer. Two models of motors exist and the time in hours required for each model in each production area is tabled here, along with the labor cost. Area A (hrs) Area B (hrs) Area C (hrs) Cost ($) Model 1 12 10 14 100 Model 2 16 8 12 120 Currently, labor assignments provide for 38,000 hours in Area A, 25,000 hours in Area B and 27,000 hours in area C. 2,000 hours are available to be transferred from Area B to Area C and a combined total of 4,000 hours are available to be transferred from Area A to Areas B and C. We would like to develop the linear programming model whose solution would tell G&P how many of each model to produce and how to allocate the workforce.
Let P₁ = the number of model 1 motors to produce P₂ = the number of model 2 motors to produce TAC = the number of hours transferred from A to C TAB = the number of hours transferred from A to B TBC = the number of hours transferred from B to C What is the objective function? Max 100 P1 + 120 P2 Min 10 P1 + 8 P2 Max 14 P1 + 12 P2 Min 100 P1 + 120 P2 O Min 12 P1 + 16 P2
Which of the following represents the resource availability constraint for Area B? 10P1 + 8P2 <= 25,000 - TBC + TAB 10P1 +8P2 <= 25,000 10P1 + 8P2 <= 25,000 + TBC - TAB 10P1 +8P2 <= 25,000 - TBC + TBA 10P1 + 8P2 <= 25,000 2,000 + 4,000
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