Bonita Informatics provides data processing services to small businesses in the Northeast. For years, the company has allocated the cost of the data storage department using the number of tape mounts $($how many times a data tape is loaded onto the computer's tape drive$).$ This rate was tied cosely to direct labor usage, since the more tapes that were mounted, the more operators that were needed to mount them. Under the current system, a customer is charged $$1\mathrm{.}75$ each time a tape is mounted.Three months ago, the company implemented a new data storage system that uses an automated tape library. As a result, operators are no longer needed to mount the tapes. Some data that is used only temporarily is stored on a computer disk and never transferred to tape. With the new system, the department's payroll has dropped from $20$ operators to $3.$Emma Davis, manager of the data center, believes that the new system's costs are more the result of data storage than of number of tape mounts. She has gathered the following information on the operation of the storage system, which is expected to cost $$397,621$ per year to operate.CustomerGigabytes ofStorageNumber of Tape MountsDale$39\mathrm{.}25469\mathrm{.}388$Matthews$53,721142,392$Johnson$8505\mathrm{.}072$Flowers$191,972$Daniel$19,7628,388$Total$113,606227\mathrm{.}212$