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Question 4 Your firm is distributing a single type of product from warehouses in Brussels, Bem, Berlin. Based on the previous observations, gasoline and maintenance costs of transporting a good from one city to another is observed as 1.5 Euro for each kilometre that the distributing truck makes. Even though the product you were selling is heavy machinery for construction sites, you were managing a high volume of sales. Hovewer, your business is seriously affected due to the COVID-19 outbreak. The pandemic resulted in a reduction in sales, and your company can distribute a single machine to each of the construction companies in Amsterdam, Athens, Barcelona next month. At the beginning of the next month, a single machine will be available as inventory for each of your warehouses except for Berlin. The Berlin warehouse will have two machines available. a) Find the optimum warehouse/construction site assignment for next month to minimize the total gasoline and maintenance cost for your company. b) Your new accountant introduced a holding cost to your books. Suppose that at the end of the month $1000 of holding cost will incur for excessive inventory, if there is any. Update your model, don't solve. Driving distances (in km) between cities are given in the table below. Amsterdam Antwerp Athens Barcelona Berlin Brussels Calais Cologne Bern 875 0 160 1639 209 160 1465 649 723 2552 704 2627 46 3021 3082 Amsterdam Antwerp Athens Barcelona Berlin Bern Brussels Calais Cologne 0 2766 1465 723 1899 3082 2766 0 3312 2552 2627 3021 2976 2562 385 211 2976 1399 936 854 1639 649 3312 0 1899 913 913 996 280 237 2562 1539 575 583 219 1419 782 655 0 986 875 704 0 655 209 1419 0 212 46 211 385 782 936 575 854 212 1399 1539 431 0 431 280 237 583 219 0