please answer all parts I will upvote solution

1. [30 Pt.] The Midlands Field Produce Company contracts with potato farmers in Colorado, Minnesota, North Dakota, and Wisconsin for monthly potato shipments. The company picks up the potatoes at the farms and ships by truck to its sorting and distribution centers in Ohio, Missouri, and Iowa. At these centers the potatoes are cleaned, rejected and discarded, and the potatoes are sorted according to size and quality. They are then shipped to combination plants and distribution centers in Virginia, Pennsylvania, Georgia, and Texas, where the company produces a variety of potato products and distributes bags of potatoes to stores. Following are summaries of the shipping costs from the farms to the distribution centers and the processing and shipping costs from the distribution centers to the plants, as well as the available monthly supply at each farm, the processing capacity at the distribution centers, and the final demand at the plants (in bushels): Distribution Center (S/bushel) Farm 5. Ohio 6. Missouri 7. Iowa 1. Colorado 1.20 1.09 1.26 2. Minnesota 0.89 1.32 1.17 3. North Dakota 0.78 1.22 1.36 4. Wisconsin 1.19 1.25 1.42 Processing Capacity (bushels) 1800 2200 1600 Supply (bushel) 1600 1100 1400 1900 Plant ($/bushel) Distribution Center 8. Virginia 9. Pennsylvania 10. Georgia 5. Ohio 4.56 3.98 4.94 6. Missouri 3.43 5.74 4.65 7. Iowa 5.39 6.35 5.70 Demand (bushels) 1200 900 1100 11. Texas 5.10 5.01 4.87 1500 The company wants to determine the optimal monthly shipments from the farms to the distribution centers and from the distribution centers and the plants to minimize tot al shipping and processing costs. (Choose the correct answer) (a) [5 Pt.] This kind of problem is called as a) Transportation b) Transshipment c) Assignment d) Set Cover (b) [25Pt.] Formulate this problem as an Integer model bl) [5] Define decision variables b2) [10] Define objective function b3) [10] Define the constraints