Analysis of costs by behaviour for decision-making

The Northshire Hospital Trust operates two types of specialist X-ray scanning machines, XR1 and XR50. Details for the next period are estimated as follows:

Machine

XR1

XR50

Running hours

1 100

2 000

(£)

(£)

Variable running costs (excluding plates)

27 500

64 000

Fixed costs

20 000

97 500

A brain scan is normally carried out on machine type XR1: this task uses special X-ray plates costing £40 each and takes four hours of machine time. Because of the nature of the process, around 10% of the scans produce blurred and therefore useless results.

Required:

(a) Calculate the cost of a satisfactory brain scan on machine type XR1.

(b) Brain scans can also be done on machine type )CR50 and would take only 1.8 hours per scan with a reduced reject rate of 6%. However, the cost of the X-ray plates would be £55 per scan.

Required:

Advise which type should be used, assuming sufficient capacity is available on both types of machine.