do not use exceul to solve. solve using linear programming formulation

Q11. (9pt) Bindley Company has a one-year contract to supply motors for all washers produces by Rinso Ltd. Rinso produces the washers at four locations listed as below. Plans call for the following numbers of washers to be produced at each. New York 50.000 Forth Worth 70.000 San Diego 60.000 Minneapolis 80,000 Bindley has three plants that can produce the motors. The plants and production capacities are: Boulder 100.000 Macon 100.000 Gary 150,000 Hindley ons on cach 1000 units depends on where they were produced and where they were shippod. The following table gives the accounting estimates of the colle profit per unit for Hindley (Slopment will be made in lots of 1000 units) Shipped To Produced at New York Fort Worth San Diego Minneapolis Boulder 17 11 8 13 Macon 17 12 10 Gary 8 18 13 16 Given profit maximization criterion, Bindley would like to determine how many motors should be produced at cach plant and how many motors should be shipped from each plant to each destination. Define the decision variables clearly and formulate a linear programming (LP) model to maximize Bindley's profit. Don't use Excel to solve it. 20