The Child-fair company has three pants producing child push chains that are to be shipped to four distribution centers. Plants 1, 2 and 3 produces 12,17, and 11 shipments per months, respectively. Each distribution center needs to receive 10 shipments per month. The distance from each plant to the respective distributing centers is given below: Distance (miles) Distribution Center 1 2 3 4 1 800 1300 400 700 (Plant) 2 1,100 1,400 600 1,000 3 600 1200 800 900 The freight cost for each shipment is $100 plus 50 cents per mile. How much should ne shipped from each plant to each of the distribution centers to minimize the total shipping costs? (a ) Formulate this problem as a transportation problem by constructing the appropriate parameter table (b) Draw the network representation of this problem. (c) Solve the problem using python. Explain in detail the above three questions with required calculations.