Photo printing has become an important service offering of many storefront pharmacies today. Customers can upload digitalphoto files in a variety for formats and request standard prints of4x6, 5x7, or 8x10 size and expect to pick up their prints within anhour at their local store.

The service is a profit center for moststorefront pharmacies and also brings in patrons who typicallypurchase other products during their visit.

Digiprinter Services is in the business of repairing the type of intermediate-sized photoprinting equipment present in most storefront pharmacies.

The equipment operatesmostly automatically as photo files are forwarded to it electronically, but at times the equipment breaks down and requires service. There's a strong imperative to get malfunctioning printing equipment back in service quickly, and Digiprinter signs servicecontracts with pharmacy chains to repair failed equipment promptly.

As the pharmaciesare all 24/7 operations Digiprinter must also have a technician on call 24/7.

In one particular metropolitan area Digiprinter has 60 photo printing machines underservice contracts. The equipment is typically reliable and on average suffers abreakdown only once each 30 days.

However, when service is called for the time to dispatch Digiprinter's technician for the area and work on the equipment will typically require 4.5 hours. Though Digiprinter is a 24/7 operation it only has one technicianavailable at any given time.Given this information determine the following:

a. Once a service call is made, how long on average (in hours) will a machine in a pharmacy be out of service?

b. Digiprinter has an opportunity to take on more service contracts. However, management doesn't want to have more than one technician on staff.

Additionally, there's an imperative to keep the average time a photo machine will be out of service to under 10 hours. How many more machines could be put under contract given these restrictions?