rie w.p. P1 r2e2 w.p. P2 Rt R₁ = Tnen w.p. Pn 0 w.p. 1-1 Pj Let DER be a vector with components Dj value of the program max ry, = ER/ Show that the optimal s.t. Ayx, 0≤ y ≤D, with variable y = R is equal to JH (x). In addition, the optimal dual solution of the capacity constraints of the previous deterministic linear program is an optimal solution of the problem minμ20 (x).
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Consider the network revenue management model. Suppose that the fare prices are constant (deterministic), that is they are as shown in the first image below of Rt. Let D ∈ ℝ^n be a vector with components Dj = E[t=1 to T∑(Rt,j/rj)]. Show that the optimal value of the program with variable y ∈ ℝ^n is equal to J˜^µ∗T(x). In addition, the optimal dual solution of the capacity constraints of the previous deterministic linear program is an optimal solution of the problem min µ≥0 J˜µT(x). The program in question is the following:
max (r^⊺)y,
s.t. Ay ≤ x,
0 ≤ y ≤ D
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- Rajan wanted a radio from Jacky's. It appears that Rajan is particularly interested in purchasing a Radio from the inexpensive retailer's sales manager for consumer electronics. He tells Jacky, the salesperson at the inexpensive store where he thinks he'll get the best deal, that his old radio died and he wants to listen to his favourite tunes. He wants a replacement radio as quickly as possible. In three and a half weeks, Rajan's favourite model will be 10% off.He suspects Rajan won't wait and will find another job. Jacky will earn less on the lowered price. He thinks that telling Rajan of the sale makes little sense.When Jacky tells Rajan that the radio set he wants is no longer available and won't be for another week, Rajan is enraged. Fearing losing the business, Jacky begs his sales manager, Michelle, to speed up delivery. Michelle says it's impossible and suggests Jacky tell Rajan the store can get the set in 24 hours and sell him the demo model. Michelle says the sample is new…Find the maximum and minimum values of f(x) = x3 − 6x2 + 8 on the horizontal span of 0 to 10.An urn contains 10 red balls and 30 blue balls.a Suppose you draw 4 balls from the urn. Let Xi bethe number of red balls drawn on the ith ball (Xi 0 or1). After each ball is drawn, it is put back into the urn. Are the random variables X1, X2, X3, and X4 indepen-dent random variables? b Repeat part (a) for the case in which the balls are notput back in the urn after being drawn.
- Prove the following using strong induction. Suppose you are gifted a collection of 3n pokéballs; all of the the pokéballs have the same size and weight except for one which is slightly heavier, and otherwiselook and feel exactly the same as the others. You are tasked with identifying theheavy pokéball and have at your disposal a set of balancing scales which can be usedto compare the weights of two collections of pokéballs. The scales can show whetherthe two collections have the same weight, or can show which collection is heavier if theweights are different. Prove using strong induction that you can identify the heavypokéball out of 3n pokéballs using n weighing operations.In 2020, a manufacturing company instituted a total quality management (TQM) program producingthe comparative report shown below:[LO 17-5]Summary COQ Report(in thousands)2019 2020 % ChangePrevention costs $ 200 $ 300 +50Appraisal costs 210 315 +50Internal failure costs 190 114 −40External failure costs 1,200 621 −48Total COQ $1,800 $1,350 −25On the basis of this report, which one of the following statements is most likely correct?a. An increase in conformance costs resulted in a higher-quality product and, therefore, a decreasein nonconformance costs.b. An increase in inspection costs was solely responsible for the decrease in quality costs.c. Quality costs such as scrap and rework decreased by 48%.d. Quality costs such as returns and repairs under warranty decreased by 40%.e. Nonconformance costs increased by 50% and conformance costs decreased by approximately 47%.A firm has modeled its experience with industrial accidents and found that the number of accidents per year is related to the number of employees by the regression equation Y = 6.6 + 0.098*X. R-Square is 0.72. The regression is based on 20 annual observations. The firm intends to employ 480 workers next year. How many accidents do you project? 47.04 accidents 8.66 accidents 53.64 accidents 72% of the 480 workers 28.56 accidents
- 31. among the following variances. which of them does not need a corrective action? a. 200,000 b. 50,000 c. -750,000 d. 041.The ______ are (is) used to determine the amount of money that an organization would save if it used a particular test in place of the test it currently uses to select employees. a. Brogden-Cronbach-Gleser formula b. Taylor-Russell Tables c.expectancy charts d. Lawshe tables 42.When the criterion validity coefficient is ____, and the selection ratio is ____, a test will have the most utility in selecting successful employees. a. large / large b. large / small c.small / small d. small / large 43.A test is considered to have _____ if there are race differences in test scores that are unrelated to the construct being measured. a. differential validity b. measurement bias c.selection bias d. adverse impact 44.If the selection rate for any of the protected groups is less than 80% of the…In case of a production company which produces 3 different products (RE1, RE2, RE3), we know the following information: Measuring Unit RE1 RE2 RE3 Quantity unit 3,000,000 4,000,000 5,000,000 Sales Price Euro/unit 2,500 3,000 3,500 Production Cost Euro/unit 1,500 1,500 1,500 Consumption Factor kg/unit 0.02 0.04 0.01 Tasks: a) Has a company scarce resource if the company has only 250 tons raw material? b) Calculate the optimal composition of products! c) Determine the estimated total sales!
- Whcih of the following is NOT false a. Service Quality and Customer Satisfaction are interchangebale terms O b. Service Quality is one of the input to achieving Customer Satisfaction Service Quality is the only input to achieving Customer Satisfaction O d. Service Quality and Customer satisfaction are not co relatedChoose all answers that form a true statement: “When performing Savitzky–Golay polynomial smoothing, increasing the number of data points used to perform the smoothing can result in …”: a. spectral distortion b. noisy data c. a decrease in the number of points in the data set. d. a shift in the data points to the right. For each option above (a-d) that forms a true statement, explain why it is true and what the ramification is for using smoothed data to interpret the behavior of the chemical system under study.RJ produces chocolate balls. There are five samples, and each sample contains 4 packs of chocolate balls that were randomly selected and weighed. The following is the sample data: Weight (lb) Sample 1 Sample 2 Sample 3 Sample 4 Sample 5 Pack 1 0.94 1 1.05 0.98 0.93 Pack 2 1.15 0.93 1.13 0.93 0.8 Pack 3 0.88 1 1.07 0.9 1.12 Pack 4 0.96 1.06 0.97 0.89 1.01 Suppose the standard deviation is unknown, and the X-bar chart is based on 3-sigma limits. Based on the sample data, what is LCL? a 0.920 b 0.887 c 0.816 d 0.844