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PLEASE DO THIS IN R***********

PLEASE DO THIS IN R***********

PLEASE DO THIS IN R***********

PLEASE DO THIS IN R***********

PLEASE DO THIS IN R***********

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The manager of an industrial plant is planning to acquire a new machine. He is considering type A and type B machines. These machines have different operating costs. It is known that the number of repairs for machine A (XA), is such that XA ~ Poi(1 = 0.10t); where t is the number of hours of operation per day. Likewise, the number of repairs for machine B (XB), is such that XB ~ Poi(= 0.12t). Cost accounting has determined the cost of operations for the machines as: CA(t) = 10t + 30x2 and CB(t) = 8t + 30X3 CA(t) and CB(t) for machines A and B, correspondingly. Assume that the repair time is negligible and that machines are maintained every night and like new every morning. Tasks 1. Which machine minimizes the average daily cost, if operated 8 hours? a. Simulate 1000 days of operation for machines A and B and compute the costs of operations for t = 8 hours. b. What is the average number of daily repairs for machine A? for Machine B? c. What is the average costs of operations per day for machine A? for machine B? d. What are the 25th percentile and the 75th percentile for the daily cost of each machine? e. Which machine is more economical if operated 8 hours per day? 2. Repeat the analysis from part 1 for 20 hour days. Which machine minimizes the average daily cost, if operated 20 hours? Present the histogram for the distribution of cost. Machine Operating cost for 20 hours daily 600 - 400 - Machine: A 200- Machine 0- count A I 600 - B 400 - Machine: B 200- 0 500 1500 2000 1000 Cost The manager of an industrial plant is planning to acquire a new machine. He is considering type A and type B machines. These machines have different operating costs. It is known that the number of repairs for machine A (XA), is such that XA ~ Poi(1 = 0.10t); where t is the number of hours of operation per day. Likewise, the number of repairs for machine B (XB), is such that XB ~ Poi(= 0.12t). Cost accounting has determined the cost of operations for the machines as: CA(t) = 10t + 30x2 and CB(t) = 8t + 30X3 CA(t) and CB(t) for machines A and B, correspondingly. Assume that the repair time is negligible and that machines are maintained every night and like new every morning. Tasks 1. Which machine minimizes the average daily cost, if operated 8 hours? a. Simulate 1000 days of operation for machines A and B and compute the costs of operations for t = 8 hours. b. What is the average number of daily repairs for machine A? for Machine B? c. What is the average costs of operations per day for machine A? for machine B? d. What are the 25th percentile and the 75th percentile for the daily cost of each machine? e. Which machine is more economical if operated 8 hours per day? 2. Repeat the analysis from part 1 for 20 hour days. Which machine minimizes the average daily cost, if operated 20 hours? Present the histogram for the distribution of cost. Machine Operating cost for 20 hours daily 600 - 400 - Machine: A 200- Machine 0- count A I 600 - B 400 - Machine: B 200- 0 500 1500 2000 1000 Cost