An x-ray machine may be used for general x-rays as well as for special hip x-rays. The time to convert the x-ray machine from general use to hip x-rays is 45 minutes. The x-ray machine is quite expensive but is very reliable. The arrival of general and special hip requirement is random and may not be scheduled.

The x-ray machine is in use 8 hours per day, 365 days per year, and has a reliability factor of 98%.

1. Refer to the scenario above. Given the following data, how many x-ray machines should be purchased?(10 points)

Type the equations used on a separate page

Indicate what each equation is solving for

General X-Ray Special Hip X-Ray

Operator efficiency 100% 100%

Pd&f 50 min per 8-hour shift 50 min per 8-hour shift

Standard time 12 min per patient 15 min per patient

(+ 45 min to convert machine)

Annual frequency 11,000 2500

General X-Ray

How many Patients per shift _______________________________

Total available mins per shift ________________________________

Total effective mins per shift ________________________________

Available time per patient ________________________________

Number of Machines ________________

Special Hip X-Ray

How many Patients per shift _______________________________

Total available mins per shift ________________________________

Total effective mins per shift ________________________________

Available time per patient ________________________________

Number of Machines ________________

TOTAL NUMBER OF MACHINES NEEDED ________________