The Ortega Food Company needs to ship a case of hot tamales from its warehouse in San Diego to a distributor in New York City at minimum cost. The costs associated with shipping cases between various cities are listed in the following table: From San Diego Los Angeles Denver St. Louis Memphis Chicago To Los Angeles Denver St. Louis Memphis Chicago 18 24 58 40 27 32 27 48 37 63 43 48 31 T 45 37 31 - New York 118 112 - 38 30 a. Formulate an LP model for this problem. Use City names and ensure that all your city names in the From, To, and Nodes are all identical in nature. b. Solve for minimum cost. To From San Diego Los Angeles Denver San Diego San Diego Memphis San Diego New York Los Angeles Denver Los Angeles St. Louis Los Angeles Memphis Los Angeles New York Denver St. Louis Denver Denver Memphis Chicago Denver St. Louis St. Louis St. Louis Memphis Memphis Chicago Memphis New York. Chicago St. Louis Chicago Memphis Chicago New York Memphis Chicago St. Louis Ship Cost 18 24 58 118 40 32 63 112 NE 27 43 45 27 48 37 48 31 38 37 81 30 Total Cost Nodes San Diego Los Angeles Denver St. Louis Memphis Chicago New York Net Flow 0 0 0 0 0 0 0 = 11 = = = 11 || Supply/Demand 1 0 O O O OOT 0 0 -1 (3 +