6. In Genshin Impact, the optimal crit rate z to crit damage y ratio can be obtained by maximizing z = ry under the constraint z+ = c. Find the optimal crit rate and crit damage if e = 100%. 2
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- Problem 1Human visual inspection is necessary in many quality engineering contexts and is naturallysubject to subjectivity. This is especially true for the inspection of solder joints on circuit boards,as there are numerous types of solder defects, as well as a degree to which a joint possessesone or more defect. Consequently, even highly trained inspectors can disagree on the status ofa particular joint. In a batch of 10,000 such joints, inspector A found 724 to be defective,inspect B found 751 to be defective, and 1159 of the joints were judged to be defective by atleast one of the inspectors. Suppose that one of the 10,000 joints is randomly selected.a. What is the probability that the selected joint was judged to be defective by neither ofthe two inspectors?b. What is the probability that the selected joint was judged to be defective by inspector Bbut not by inspector A?A plastic injection molding machine operates 334 days a year. It is the bottleneck workstation in a process that produces plastic housed wall clocks. Industrial engineers collected data on the probability of machine breakdowns, the costs of preventive maintenance, and the cost of a breakdown. Number of Molding Machine Breakdowns per Day Probability of a breakdown 0 0.32 1 0.27 2 0.22 3 0.13 4 0.06 The cost of preventive maintenance is high due to performing it between 1 and 4 a.m. each day by two machine experts. The preventive maintenance cost is $2,030 per day including replacement parts, cleaning, and software upgrades. The cost of a breakdown of $1,940 is also high because the downstream workstations can only work until all work-in-progress inventory is completed; then the entire process must stop. What are the economics of the situation? Do not round intermediate calculations. Round your answers to the nearest cent. The expected cost of a breakdown per day is $ The manufacturing…A factory has a frequency of breakdown of their machine per month as shown in table below and the cost of breakdown remains the same but the cost of preventive maintenance becomes ksh 1250 per month, and given that if preventive maintenance is performed, probability of a machine breakdown is negligible. Determine whether the engineer should use preventive maintenance or would it be cheaper to repair the machine when it breakdown. Frequency of breakdown of machine per month Number of breakdown 0 1 2 3 Frequency 20 30 40 10
- YEAR 2010 2011 2012 2013 2014 2015 2016 2017 2018 2019 ARRIVAL ('000) 35.5 28 30.3 36 49.5 56 72.4 71 79.3 96 DELAYED RATE 4.2 3.8 3.8 3.5 4.6 4.5 4.6 4.6 4.7 4.5 A marketing analyst for Rockstar Travel Company. He wants to analyze the trend of international tourist arrival in KL by using international tourist arrival rate and flight delayed rate over the past 10 years. Propose ONE (1) forecasting model that can be used by Alvin. Why would you proposed that particular model? Develop the forecasting model that you suggest in (i). Briefly explain your model.Association Rules for Bookstore Transactions. Leggere, an Internet book retailer, is interested in better understanding the purchase decisions of its customers. For a set of 1,604 customer transactions, it has categorized the individual book purchases comprising those transactions into one or more of the following categories: Novels, Willa Bean series, Cooking Books, Bob Villa Do-It-Yourself, Youth Fantasy, Art Books, Biography, Cooking Books by Mossimo Bottura, Harry Potter series, Florence Art Books, and Titian Art Books. Leggere has conducted association rules analysis on this data set and would like to analyze the output. Based on a minimum support of 10% and a minimum confidence of 50%, the table below shows the top 10 rules with respect to lift ratio. LO 7 Explain why the fourth rule on the list is not helpful although it has 100% confidence and lift ratio of 1.861. Explain how the confidence of 55.6% and lift ratio of 1.851 was computed for the rule "If a customer buys a novel,…The number of hybrid cars that have be requested for rental from a car rental office during a 50 day sample period is given in the following table. Demand for Cars Number of Days Probability 3 3 0.06 4 7 0.14 5 12 0.24 6 14 0.28 7 10 0.20 8 4 0.08 50 1.00What is the expected (mean) number of hybrid rentals per day? Compute to one decimal place.
- HW1 Q1 Consider the emergency department of a hospital that operates as follows: Upon arrival, patients first wait in line for registration. Then, after registration, patients wait to see a triage nurse who classifies them as either critical or non-critical. After the triage nurse, critical patients go to the emergency care area waiting to be seen by a doctor while non-critical patients go to the routine care area where they wait to see a doctor. It is determined that there are, on average, 20 patients registering or waiting to be registered, 5 patients being seen or waiting to be seen by the triage nurse, 15 critical patients being seen or waiting to be seen by a doctor in the emergency area, and 20 non-critical patients being seen or waiting to be seen by a doctor in the routine care area, Assuming that 20 patients arrive every hour and that 75% of the patients are non-critical, how many minutes does a patient spend on average in the emergency department of the hospital? Average time…4. Minimize subject to X X c = x + 2y + 3y Y 2x + ΛΙ ΛΙ ≥ 0, y ≥ 0. 30 30A workshop has 20 nos. of identical machines. The failure pattern of the machine is given below:- Elapsed time after Maintenance attention (in month) 1 2 Probability of failure 3 4 5 6 0.20 0.15 0.15 0.15 0.15 0.20 It costs 150 to attend a failed machine and rectify the same. Compute the yearly cost of servicing the broken down machines.
- 5)A company that operates fast food hamburger restaurant is evaluating the service at its facility. The customers have been observed to arrive at the drive-through window according at an average rate of 30 customers per hour. The restaurant believes the arrival rate conforms to a Poisson distribution. Evaluating the current service rate, the restaurant calculates that the drive-through is capable of processing 40 customers per hour. d. A vendor of specialized drive-through systems has 3 installations available. System A promises a service rate of 60 customers per hour, system B is more expensive but can process 75 customers per hour and system C requires a sizable investment and will be capable of processing 90 customers per hour. Which system should the restaurant implement? e. The current facility limits the number of cars (customers) that can be in the drive-through to 5. More than 5 cars in line means customers have to wait on a public street, causing them to leave the restaurant.…14. Digital Controls, Inc. (DCI) manufactures two models of a radar gun used by police to mon- itor the speed of automobiles. Model A has an accuracy of plus or minus 1 mile per hour, whereas the smaller model B has an accuracy of plus or minus 3 miles per hour. For the next week, the company has orders for 100 units of model A and 150 units of model B. Although DCI purchases all the electronic components used in both models, the plastic cases for both models are manufactured at a DCI plant in Newark, New Jersey. Each model A case re- quires 4 minutes of injection-molding time and 6 minutes of assembly time. Each model B case requires 3 minutes of injection-molding time and 8 minutes of assembly time. For next week the Newark plant has 600 minutes of injection-molding time available and 1080 min- utes of assembly time available. The manufacturing cost is $10 per case for model A and $6 per case for model B. Depending upon demand and the time available at the Newark plant, DCI…Terex Corporation is a global manufacturer of aerial work platforms and materials processingmachinery. They design, build and support products such as large lifting equipment used inconstruction. The company makes most pieces to order and customizes them to meet customers’unique preferences.Terex maintained a manual system for yard management at their transfer centre in Washingtonthat is always full of lifting equipment, which generated excessive costs for what should have beena relatively simple process of locating customers’ units to prepare them for delivery. A wallboardand sticker system was a low-tech solution for identifying equipment items in the yard at Terex.While inexpensive in itself, the solution cost around six minutes every time an employee had tolocate a unit in the yard. It also required a considerable number of hours to be spent each monthtaking physical inventories. After a successful pilot, the company approved a new solution, replacingstickers, yard maps, and…