Assignment 5: Simulation - Operating Cost Assignment 5: Simulation - Operating Cost Due November 19, 2021 QMST 3341 Deliverables • File #1 (PDF): Upload to Canvas. Name the file using the convention:...

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Assignment 5: Simulation - Operating Cost Assignment 5: Simulation - Operating Cost Due November 19, 2021 QMST 3341 Deliverables • File #1 (PDF): Upload to Canvas. Name the file using the convention: LastnameFirstnameA5.pdf. Where “Lastname” is your last name. • File #2 (R script): Upload to Canvas. Name the file using the convention: LastnameFirstnameA5.R. Where “Lastname” is your last name. • I must be able to run the script and see the output; otherwise the score is zero • Document your code appropriately using #comments – Include a “header” on your code stating your name, date and title of the assignment – Organize and enumerate the parts of your code as I did in the assignment description. • The PDF is the main document, therefore – Answer the questions on the PDF. – Include the plots in the PDF – Answer in complete sentences. Introduction • The purpose of this assignment is for you: 1. demonstrate your R programming skills 2. create a simulation to answer questions Requirements • You will need R • You should use videos and notes for guidance. 1 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(λ = 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(λ = 0.12t). Cost accounting has determined the cost of operations for the machines as: CA(t) = 10t+ 30X2A and CB(t) = 8t+ 30X2B 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. M achine: A M achine: B 0 500 1000 1500 2000 0 200 400 600 0 200 400 600 Cost co un t Machine A B Machine Operating Cost for 20 hours daily 2 Deliverables Introduction Requirements Tasks