4 Four machine are loacted in a plant at poitns (3, 10, ) (20, 15,) (25, 5) and (10, 10). These machines require maint

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4 Four machine are loacted in a plant at poitns (3, 10, ) (20, 15,) (25, 5) and (10, 10). These machines require maintenance expected frequencies of 10, 11, 12, and 5 times per months respectively. Moreover, the cost of transporting the machines to and from the maintenance is $10 per unit of disatnce the cost of lost profie resulting from the machine being down. An installation cost ance center is $5000 for each maintence rectilinear travel is assumed . If the company wants to open 2 new maintenance centers , where will be the optimal location for these maintenance cen and what will be the optimal cost for these maintenance cetners and what will be the the total cost ?