A fuel pump used in ajet engine has a nonhomogeneous Poisson failure process with a power-law intensity function where a = 6 X 1 0-9 operating hours and b = 2.5. If the pump is to be repaired, it will...

A fuel pump used in ajet engine has a nonhomogeneous Poisson failure process with a power-law intensity function where a = 6 X 1^0-9
operating hours and b = 2.5. If the pump is to be repaired, it will cost $500 for a special set of tools, and the MTTR will be 6 hr. If the pump is discarded and replaced, there is no fixed cost, and the removal and replacement time is I hr. Labor cost is $55 per hour. The engine is to be overhauled at 10,000 hours at which time the fuel pump is to be replaced. Determine the unit cost for which it is no longer economical to discard the pump on failure and a repair policy should be implemented. A crew size of one is needed for either repair or discard tasks. A condemnation rate of 5 percent should be assumed.