machine shop leases grindat for sharpening theit machine cutting tools. A decision must he made to h

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Question 3: (30 points) service Co A machine shop leases grinder for sharpening their machine cutting tools. A decision must

machine shop leases grindat for sharpening theit machine cutting tools. A decision must he made to how many grinder s to lease. The cost to lease grinder is $50 per day, The grinding time require by a machine operator to sharpen his sharpen their an operator being away an exponential distribution, with an average of one minute. The machine operators arrive tools accordine from his machine to the grinder is 10 cente Te machine shop iB open 8 hours/day every 20 seconds. The estimate cost ule a) What is the average number f customer waiting to be served on a given day if the machine shop lease 1,2 and 3 b) s the optimal number of grinder to be left by the machine shop for the minimum total cost?

Question 3: (30 points) service Co A machine shop leases grinder for sharpening their machine cutting tools. A decision must he made as to how many grinder s to lease. The cost to lease grinder is $50 per day. The grinding time require by a machine operator to sharpen his cutting tool has an exponential distribution, with an average of one minute. The machine operators arrive to sharpen their tools according to a Poisson process at a mean rate of one every 20 seconds. The estimate cost of an operator being away from his machine to the grinder is 10 cents per minute. The machine shop is open 8 hours/day waits cost a) What is the average number of customer waiting to be served on a given day if the machine shop lease 1, 2 and 3 grinders? b) What is the optimal number of grinder to be left by the machine shop for the minimum total cost? 20seasnds

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