(2) A company is considering opening warehouses in four ( cities: New York, Los Angeles, Chicago, and Atlanta. Each TABLE 11 to (3) Region 1 Ration 2 New York 20 40 50 Los Angeles 48 15 26 Chicago 26 35 18 Atlanta 24 50 35 warehouse can ship 100 units per week. The weekly fixed cost of keeping each warehouse open is $400 for New York, $500 for Los Angeles, $300 for Chicago, and $150 for Atlanta. Region I of the country requires 80 units per week, region 2 requires 70 units per week, and region 3 requires 40 units per week. The costs (including production and shipping costs) of sending one unit from a plant to a region are shown in Table 11. We want to meet weekly demands at minimum cost, subject to the preceding information and the following restrictions: 1 If the New York warehouse is opened, then the Los Angeles warehouse must be opened 2 At most two warehouses can be opened. 3 Either the Atlanta or the Los Angeles warehouse must be opened. Formulate an IP that can be used to minimize the weekly costs of meeting demand