A car rental firm intends to put together a fleet of small, medium, and large cars by purchasingthem from three

A car rental firm intends to put together a fleet of small, medium, and large cars by purchasingthem from three motor retail outlets in the form of packages that consist of a mixture of differentsized cars. MR1, the first motor retail outlet, offers packages that consist of 5 small cars, 5medium cars, and 10 large cars, at a total cost of $500,000. MR2 offers packages that consistof 5 small, 10 medium, and 5 large cars, at a total cost of $400,000. MR3 offers packages thatconsist of 10 small, 5 medium, and 5 large cars for $300,000. The rental firm intends to puttogether a fleet that consists of at least 550 small cars, at least 500 medium cars, and at least550 large cars. How many packages should the firm buy from each retail outlet in order tominimize its costs?