G&P Manufacturing Would Like to Minimize the Labor Cost of Producing

Essay

G&P Manufacturing would like to minimize the labor cost of producing dishwasher motors for a major appliance manufacturer.Although two models of motors exist,the finished models are indistinguishable from one another; their cost difference is due to a different production sequence.The time in hours required for each model in each production area,along with the labor cost,is shown in the table below. ​
Currently,labor assignments provide for 10,000 hours in both areas A and B and 18,000 hours in area C.If 2000 hours are available to be transferred from area B to area A and 3000 hours are available to be transferred from area C to either area A or area B,develop the linear programming model whose solution would tell G&P how many of each model to produce and how to allocate the workforce.