Problem
ElectroCraft, Inc. provides application-engineered specialty fractional-horsepower motor and motion control products. Due to recent supply chain problems and labor constraints, they have decided to produce only two models of refrigerator motors, Model 1 and Model 2.
The time in hours required for each model in each department, along with the labor cost, is shown in the table below.
Model 1 Model 2
Department A 15 3
Department B 4 10
Department C 4 8
Cost $80 $65
For spring 2023, 12,000 hours of labor is available in both Department A and B and 20,000 hours in Department C. If 2000 hours are available to be transferred from Department B to Department A and 3000 hours are available to be transferred from Department C to either Department A or Department B, then prepare the following managerial report:
• Develop the linear programming model whose solution would tell the management of ElectroCraft how many of each model to produce and how to allocate the workforce. Show the LP below.
• Show the LP below.What is the current optimal solution? Interpret in detail.