Cook Illinois is a transportation company that offers various services like school bus transportation, charter buses, and shuttle services. However, the description provided does not seem to match with the mentioned entities (Also and Company, LP, Unilab Corporation, and Bankers Trust Company). A Cook Illinois Call Agreement refers to a specific agreement made between these entities. Unfortunately, there is no specific information available regarding this agreement between Also and Company, LP, Unilab Corporation, and Bankers Trust Company. Therefore, it would be difficult to provide detailed information or specify different types of Cook Illinois Call Agreement involving these three entities. Also and Company, LP is a private equity firm that focuses on long-term investments in various industries, while Unilab Corporation is a company involved in the production and distribution of laboratory equipment and supplies. Bankers Trust Company is a financial institution providing banking and financial services. It is crucial to note that the provided description lacks sufficient context regarding the relationship between Cook Illinois, Also and Company, LP, Unilab Corporation, and Bankers Trust Company, making it challenging to generate meaningful content.