An old copier has availability90% and MTBF200 days. A new copier has availability95% and mean repair time5 days longer. Find new MTBF in days (nearest integer).
Using availability A=MTBF/(MTBF+MTTR), old repair time is200(1−0.9)/0.9=22.222 days. New repair time is27.222 days. New MTBF=A MTTR/(1−A)=0.95(27.222)/0.05=517.22, rounding to517 days. The final range accommodates alternate MTBF terminology.
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