Problem 4 (a) Evaluate Sfx dA where D is the shaded region shown in the figure (b) | | 2x sin(x²) d dxdy 2 1 0 2√3
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- Only question 1Problem 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?find its optimal solution by inspection. Minimize w = 10y1
- 12The monthly demand for units manufactured by the Acme Rocket Company has been as follows:Month Units Month UnitsMay 100 September 105June 80 October 110July 110 November 125August 115 December 120a. Use the exponential smoothing method to forecast the number of units for June to January. Theinitial forecast for May was 105 units; a = 0.2.b. Calculate the absolute percentage error for each month from June through December and theMAD and MAPE of forecast error as of the end of December.c. Calculate the tracking signal as of the end of December. What can you say about the performanceof your forecasting method?Solve for the intercept (a).
- 2-1 Sales of Cool-Man air conditioners have grown steadily during the past 5 years: DEMAND ADV SEPENT 2017 450 1200 2018 495 1650 2019 518 1710 2020 563 1860 2021 584 1960 Predict the demand of Year 2021 by: a. Using 3 moving average b. Using exponential smoothing with alpha = 0.30. The sales manager had predicted, before the business started, that year 1l's sales would be 410 air conditioners. c. Using the relationship between the sales and advertainment spent Which of the above value is the best predicated demand for Year 2021? 2-2 Three trials for the company stock control system were calculated as shown in the table below. The holding cost, shortage cost and ordering costs have been estimated to be $220, $80 and $170. The company has a high competition therefore they need to keep their customer and attract more new customers. Strategy 1 Strategy 2 Strategy 3 Reorder Quantity 200 600 400 Reorder Level 300 400 200 Lead Time 1 Number of days when stock out is occurred 20 12 Number of…13» 95 A cosmetics manufacturer's marketing department has developed a linear trend equation that can be used to predict annual sales of its popular Hand & Foot Cream. Ft = 80 + 25t where Ft = Annual sales (000 bottles), t is in years. Predict annual sales for year 6? 170 230 10 % 6 52 min 42 secs