Develop the Pert model for the following tables. (The first are the nodes, in the second they must be built)
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- Consider the Max LP: min w I1, I2 Decide if this is a normal max LP (but I decided not to ask) (y₁ ≥ 0) Y₁ (Y/2 ≥ 0) Y2 (Y3 > 0) Y3 x = 3x1 + 201 8.t. 21 +2 X1 + X2 I1 2. Here is a the table form for finding the dual, but there is a couple of missing or incorrect entries that you are asked to identify below it: the value of a is cis max z (*₁ ≥ 0) (*₂ > 0) Ta 1 1 21 2 1 100 ≤80 ≤40 >0 a 2 the missing value(s) in position b is (are) no extra spaces though) 3. The objective function for the dual min is w = cy1 + dy2 + e y3 where and d is <100 <80 <40 and e is (as we usually write things1 The following graph shows data about the height of a bamboo plant after a certain number of days. (At home writers, you must either print this graph or re-draw accurately on a piece of graph paper, time will be extended to allow for this) a) What does each point on the scatterplot represent? 180- -170 -160 -150 -140 130 120 -110 100 b) How tall might the plant be on day 7? Is this an example of interpolation, extrapolation, or neither? Justify. -90 -80 70 -60 -50 -40 -30 -20 -10 c) How tall might the plant be on day 13? Is this an example of interpolation, extrapolation, or neither? Justify. Time (days) Height of Plant (cm)6. List and explain in detail why we include disturbance term or error term in the model?
- . Two servers in a restaurant predict how many guests will come for dinner in the nextfour days. The first server predicts the number of guests to be 23 for day 1, 35 for day 2,30 for day 3, and 28 for day 4. The second server predicts 26, 27, 28, and 29 for the fourrespective days. The actual attendance turns out to be 30, 22, 31, and 25. Who has thebigger forecast bias? What are the MSE and the MAE for the two servers?Using multiple regression, you have identified P12,000 of unit level costs for 3,000 units, P1,000 of product level costs for 40 products, and P3,500 of customer-level costs for ten customers. The cost of Job 002 which used 800 unit level activities, 4 product level activities, and one customer-level activities amounts to * A. P3,650 B. P3,250 C. P3,050 D. P2,950* An equipment which costs $15000 has to be replaced with a new equipment. The follovig data have been estimated - Year 3 4 Resale value 12000 9500 7500 5700 Annual maintenance cost 600 800 1050 1400 Year 7 Resale value 4200 3900 2100 2000 Annual maintenance cost 2100 3500 5000 6800 of Determine the optimal replacement period.
- Given the attached data. Answer the following questions for a 7 period moving average. t At 1 5477 2 3338 3 4799 4 2852 5 6332 6 8385 7 4382 8 4184 9 14229 10 10385 11 11676 12 5271 13 8938 14 9279 15 13990 16 2890 17 13027 18 8970 19 6700 20 7065 21 12491 22 8748 23 8396 24 6102 25 7559 26 7997 27 11981 28 10680 29 5783 30 2501 31 7620 32 10194 33 7908 34 11985 35 5863 36 3024 37 8758 38 1640 39 6569 40 11728 41 6659 42 2830 43 10018 44 8448 45 12409 46 2083 47 6374 48 7438 49 4576 50 4795 MAD = Average(|A-F|) TS =SUM(A-F)/MAD MSE = Average(A-F)2 1. Compute your forecast for period 51. The potential answers are: A: 11221.6 units. B: 12461 units. C: 8020.83 units. D: 4414 units. E: 6589 units.A manufacturing engineer is studying the dimensional variability of a particular component that is produced on three machines. Each machine has two spindles, and four components are randomly selected from each spindle. The results follow. Analyze the data, assuming that machines and spindles are fixed factors. Machine 1 Machine 2 Machine 3 Spindle 1 1 1 12 8 14 12 14 16 9 9 15 10 10 15 11 10 13 11 12 15 12 8 14 13 11 14 Calculate the Determination Coefficient (as percentage) for the Model obtained. Use 2 decimal Digits Respuesta: 2.Find the formula for g in terms of f. g(x) = -12 12 2.0 12 2.0 2.0 12 12 2.0 -12 Find the formula for g in terms of f. g(x) = -12
- Consider the ANOVA table that follows. Analysis of Variance Source DF SS MS F p Regression 2 77.907 38.954 4.14 0.021 Residual Error 62 583.693 9.414 Total 64 661.600 a-1. Determine the standard error of estimate. (Round your answer to 3 decimal places.) a-2. About 95% of the residuals will be between what two values? (Round your answers to 3 decimal places.) b-1. Determine the coefficient of multiple determination. (Round your answer to 3 decimal places.) b-2. Interpret the coefficient of multiple determination. (Round your answer to 1 decimal place.) Determine the coefficient of multiple determination, adjusted for the degrees of freedom. (Round your answer to 3 decimal places.) Prev Question 5 of 30 Total5 of 3Mop and Broom Manufacturing has tracked the number of units sold of their most popular mop over the past 24 months. This is shown. Month 1 2 3 4 5 6 7 8 Sales Month 238 249 254 267 277 282 402 296 9 10 11 12 13 14 15 16 Sales 300 327 346 349 353 364 373 363 Month + 17 18 19 20 21 22 23 24 Sales 361 381 375 383 384 401 409 403 a. Develop a linear trend line for the data. (Round your answers to 2 decimal places, e.g.,25.28.) Sales = (month) b. Compute a correlation coefficient for the data and evaluate the strength of the linear relationship. (Round your answer to 2 decimal places, the tolerance is +/-0.01.) Correlation coefficient is . It indicates linear relationship. (Use not rounded amounts to answer this question.) c. Using the linear trend line equation, develop a forecast for the next period,month 25. (Round your answer to 2 decimal places, the tolerance is +/-0.01. Do not round intermediate results used to achieve this answer.) Forecast for month 25 =A Problem Set 3-edited Mailings Review View Tell me AaBbCcDdEe AaBbCcDdEe AaBbCcDdEe AaBbCcDdEe Normal Body Text List Paragraph No Spacing 5. Table 1 shows the daily stock price of Apple Inc. (AAPL) in the past few trading days. Table 1. Daily stock prices of Apple Inc. 1- 4- 5- 6- 7- 8- 11- 12- 13- 14- 15- 18- Date Nov Nov Nov Nov Nov Nov Nov Nov Nov Nov Nov Nov Stock 255.1 256.7 256.4 256.5 259.4 260.1 262.2 262 264.5 262.6 265.8 265.7 Price Since the stock market closes on weekends, Table 1 only shows stock prices during weekdays. Please answer the following questions based on the given information. (a) Apply the moving average (MA) model with a three-day lag (q = 3) and a five-day lag (q =5) to forecast Apple Inc.'s stock price in the following three trading days (i.e., its stock price on November 19, 20 and 21). (Hint: calculate the stock price on November 19 first, and then use the estimated stock price of November 19 to forecast the stock price on November 20.) (ROUND TO ONE…