#1 PowerFlo produces a specific component for diesel truck engines at its three plants. The company currently has orders from four customers. After considering relevant costs, PowerFlo can expect the following per-unit profit for each plant-customer alternative. The manufacturing capacities during the current production period are: Plant 1, 4,200 units; Plant 2, 2,500 units; Plant 3, 3,800 units. The customer demands are: Customer 1, 1,950 units; Customer 2, 2,200 units; Customer 3, 4,250 units; Customer 4, 3,000 units. Develop a transportation model that PowerFlo can use to determine how many units each plant should ship to cach 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 nocded.) You do not neod to include the network diagram or solve the LP. #2 Consider a distribution system that consists of three regional distributors, two local warehouses, and three retail stores. The augmented table below provides the shipping costs per unit of a certain product from each distributor to cach warchouse and from cach warchouse to cach storc. There are 47 units of the product at Distributor 1,51 units at Distributor 2, and 38 units at Distributor 3. The demands for this period are 31 units for Store 1, 43 units for Store 2, 24 units for Store 3, and 29 units for Store 4. Formulate a transshipment model to minimize the total cost over the shipping network. You do not need to include the network diagram or solve the LP