21 ) Eastinghouse sells air conditioners. The annual demand for air conditioners in each region of the country is as follows: East, 100,000; South, 150,000; Midwest, 110,000; West, 90,000. Eastinghouse is considering building the air conditioners in four different cities: New York, Atlanta, Chicago, and Los Angeles. The cost of producing an air conditioner in a city and shipping it to a region of the country is given in Table 18. Any factory can produce as many as 150,000 air conditioners per year. The annual fixed cost of operating a factory in each city is given in Table 19. At least 50,000 units of the Midwest demand for air conditioners must come from New York, or at least 50,000 units of the Midwest demand must come from Atlanta. Formulate an IP whose solution will tell Eastinghouse how to minimize the annual cost of meeting demand for air conditioners. TABLE 18 Price by Region ($) City East South Midwest West New York 206 225 230 290 Atlanta 225 206 221 270 Chicago 230 221 208 262 Los Angeles 290 270 262 215 TABLE 19 City Annual Fixed Cost ($ Million) New York 6 Atlanta 5.5 Chicago 5.8 Los Angeles 6.2