Required information The Childfair Company has three plants producing child push chairs that are to be shipped to four distribution centers. Plants 1, 2, and 3 produce 12, 17, and 11 shipments per month, respec- tively. Each distribution center heeds to receive 10 shipments per month. The distance from each plant to the respective distributing centers is given below: Distance Distribution Center 1 2 3 4 1 1450 1950 1050 1350 Plant 2 1750 2050 1250 1650 3 1250 1850 1450 1550 The freight cost for each shipment is $100 plus 50 cents per mile. Obtain an optimal solution, and determine the total cost. Total Cost $