1. An application requires that at least 2 processors in a multi-processor system be available with more than 95% probability. The cost of a processor with 60% availability is $10000 and each increase of 10% (0.1) in the availability will cost $8000. To constrain the problem, assume that the availability of each component increases in steps of 0.1 and never exceeds 0.90. Determine the number of processors (n) and availability (A) of each processor that minimizes the total system cost. Assume that all the processors in the system have the same availability.

Please explain how you would go about solving this problem, thanks!