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.

What is the current optimal solution? Interpret in detail.

Comment on Reduced Costs.

Comment on the Range of Optimality for both models. Interpret the Allowable Increase and the Allowable Decrease for each model.

Which constraints are binding?

Interpret the dual price for Department A and B.

Interpret the range of feasibility for Department A and B.