American Iinterger programming non$-$linear programming mostly everything aftr first exam but still look at that toointerger programming non$-$linear programming mostly everything aftr first exam but still look at that tooAmerican International Automotive lndustries $($AIAI$)$ manufactures engine, transmission, and chassis parts for manufacturers and repair companies in the United States, South America, Canada, Mexico. Asia, and Europe. The company transports parts to its foreign markets by container ships. To serve its customers in South America and Asia, AIAI has large warehouse and distribution centers. In Europe, it ships into Hamburg and Gdansk, where it has contracted with independent distribution companies to deliver its products to customers throughout Europe. However, AIAI has been displeased with a recent history of late deliveries and rough handling of its products. For a time AIAI was not overly concerned because its European market wasn't too big, and its European customers didn't complain. Plus, it had more pressing problems elsewhere. However. in the past few years, trade barriers have fallen in Europe, and Eastern European markets have opened up$.$ AIAI's European business has expanded, as has new competition. and its customers have become more demanding and quality conscious. As a result, AIAI has initiated the selection process for the site of a new European warehouse and distribution center. Although it provides parts to a number of smaller truck and auto maintenance and service centers in Europe. It has seven major customers$-$auto and truck manufacturers in Vienna, Leipzig, Budapest, Prague, Krakow, Munich, and Frankfurt. Its customers have adopted manufacturing processes requiring continuous replenishment of parts and materials. AIAI's European headquarters is in Hamburg. The vice president for construction and development in Dayton, Ohio, has asked the Hamburg office to do a preliminary site search based on proximity to customers and mileage. Each container is converted to a single tractor$-$trailer truckload. Plant site coordinates with Bern, Switzerland used as a reference point $(0,0),$ and the number of containers shipped annually to each of these sites are provided on the right. Assist AIAI with its site selection process in Europe. Recommend a city site that minimizes the total annual delivery mileage.nternational Automotive lndustries $($AIAI$)$ manufactures engine, transmission, and chassis parts for manufacturers and repair companies in the United States, South America, Canada, Mexico. Asia, and Europe. The company transports parts to its foreign markets by container ships. To serve its customers in South America and Asia, AIAI has large warehouse and distribution centers. In Europe, it ships into Hamburg and Gdansk, where it has contracted with independent distribution companies to deliver its products to customers throughout Europe. However, AIAI has been displeased with a recent history of late deliveries and rough handling of its products. For a time AIAI was not overly concerned because its European market wasn't too big, and its European customers didn't complain. Plus, it had more pressing problems elsewhere. However. in the past few years, trade barriers have fallen in Europe, and Eastern European markets have opened up$.$ AIAI's European business has expanded, as has new competition. and its customers have become more demanding and quality conscious. As a result, AIAI has initiated the selection process for the site of a new European warehouse and distribution center. Although it provides parts to a number of smaller truck and auto maintenance and service centers in Europe. It has seven major customers$-$auto and truck manufacturers in Vienna, Leipzig, Budapest, Prague, Krakow, Munich, and Frankfurt. Its customers have adopted manufacturing processes requiring continuous replenishment of parts and materials. AIAI's European headquarters is in Hamburg. The vice president for construction and development in Dayton, Ohio, has asked the Hamburg office to do a preliminary site search based on proximity to customers and mileage. Each container is converted to a single tractor$-$trailer truckload. Plant site coordinates with Bern, Switzerland used as a reference point $(0,0),$ and the number of containers shipped annually to each of these sites are provided on the right. Assist AIAI with its site selection process in Europe. Recommend a city site that minimizes the total annual delivery mileage.