A company is considering 4 locations to open warehouses: New York, Los Angles, Chicago and Atlanta. Each warehouse can ship up to 100 units per week....

A company is considering 4 locations to open warehouses...

A company is considering 4 locations to open warehouses: New York, Los Angles, Chicago andAtlanta. Each warehouse can ship up to 100 units per week. The weekly fixed cost of keeping eachwarehouse open is $400 for NY, $500 for LA, $300 for Chicago, and $150 for Atlanta. Thecompany’s customers are spread across three well-defined regions across the country. Region 1 requires 80 units per week, region 2 requires 70 units per week and region 3 requires 40 units perweek. The unit transportation costs for each warehouse to a region are shown in the following table: “— The company wants to meet weekly demands at minimum cost, subject to the preceding information andhe following strategic criteria: a If the NY warehouse is opened, then the LA warehouse must be opened. it At most two warehouses can be opened. 0 Either the Atlanta or LA warehouse must be opened. Formulate a mixed integer linear progrfl [MILF] for this problem and solve using POMJQM [lutegerand Mixed Integer Programming). Interpret your results: (a) which warehouse locations are selected?(b) What is the transportation schedule and what is the total transportation cost?