Develop a transportation model that Engintek can use to determine how many units each plant should ship to each customer, with the goal to max profit.

Engintek produces a specific fuel system component at its three plants. The company currently has orders from four customers. After considering relevant costs, Engintek can expect the following per-unit profit for each plant-customer alternative. The manufacturing capacities during the current production period are: Plant 1, 4,100 units; Plant 2. 2,600 units; Plant 3, 3,700 units. The customer demands are: Customer 1, 1,800 units; Customer 2, 2,200 units; Customer 3, 4,100 units; Customer 4, 3,200 units. Develop a transportation model that Engintek can use to determine how many units each plant should ship to each customer, with the goal of maximizing total profit. (As a hint, check the total supply and the total demand, and incorporate this information into the model as needed.) You do not need to include the network diagram or solve the LP