2. (20 pts) LP Modeling. A company possesses 3 banana plantations. The bananas are then shipped every week to 2 warehouses in major cities for retail, distribution, and exporting. The unit shipping costs from each plantation to each warehouse are list in the below table. Furthermore, suppose that the planting capacities of bananas at plantation 1, 2, and 3 are 10 units, 13 units, and 17 units, respectively. Suppose that the demands at warehouse 1 and 2 are 20 units and 16 units, respectively. Please formulate a linear program to determine the shipping plan that minimizes the overall shipping cost of meeting the banana demands. (Hint: define two dimensional decision variables.) Warehouse 1 Warehouse 2 Plantation 1 $4 $6 Plantation 2 $7 $5 Plantation 3 $8 $6