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Answer :
To calculate the projected availabilities of machines A and B, we need to consider their operating times and repair times. Availability refers to the percentage of time a machine is operational.
To calculate the availability, we use the formula:
Availability = (Operating time) / (Operating time + Repair time)
Let's calculate the availabilities for machines A and B:
For machine A:
Operating time = 140 hours
Repair time = 14 hours
Availability of machine A = (140 hours) / (140 hours + 14 hours) = 140 / 154 = 0.909
Therefore, the projected availability of machine A is 0.909 or 90.9%.
For machine B:
Operating time = 51 hours
Repair time = 7 hours
Availability of machine B = (51 hours) / (51 hours + 7 hours) = 51 / 58 = 0.879
Therefore, the projected availability of machine B is 0.879 or 87.9%.
In summary:
Machine A has a projected availability of 90.9%.
Machine B has a projected availability of 87.9%.
These values represent the percentage of time each machine is expected to be operational, taking into account their operating and repair times.
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