if the allocation of tracks to trains is evenly distributed and, if not, which tracks are underutilized and overutilized. Track Assigned Track #1 Track #2 Track #3 Track #4 Track #5 Track #6 Track #7 Track #8 Track #9 Track #10 Track #11 Total Number of Trains 3 4 4 7455SSLT 5 5 4 5 53 Source: Wu, J., et al. "Track allocation optimization at a railway station: Mean-variance model and case study." Journal of Transportation Engineering, Vol. 139, No. 5, May 2013 (extracted from Table 4).
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- Illustrate graphically and explain how each of the following factors would affect the demand or supply for Nike factory workers: · Assuming that the market for Nike factory workers is perfectly competitive, what would be the impact on wages and the number of Nike factory workers employed?" 1. The demand for new sports shoes has increased as more people are concerned about their health. 2. Increased training makes workers more skilled and productive. 3. The COVID-19 pandemic is likely to interrupt the production process of Nike. 4. A larger number of professional workers are interested in working in factories.2. A shoe manufacturer is considering developing a new brand of running shoes. The business problem facing the marketing analyst is to determine which variables should be used to predict durability (i.e., the effect of long-term impact). Two independent variables un- der consideration are X 1 (FOREIMP), a measurement of the forefoot shock-absorbing capability, and X 2 (MIDSOLE), a measurement of the change in impact properties over time. The dependent variable Y is LTIMP, a measure of the shoe's durability after a repeated impact test. Data are collected from a random sample of 15 types of currently manufactured running shoes, with the following results: Standard Variable t Statistic p-Value Coefficients Error 0.06905 Intercept -0.02686 -0.39 0.7034 FOREIMP 0.79116 0.06295 12.57 0.0000 MIDSOLE 0.60484 0.07174 8.43 0.0000 A: state the multiple regression equation b. interpret the meaning of the slopes, b1 and b2 in this problem. c. what conclusions can you reach concerning durability?…Some analysts complain that spreadsheet models are difficult to resize. You can be the judge of this. Suppose the current product mix problem is changed so that there is an extra resource, packaging labor hours, and two additional PC models, 9 and 10. What additional input data are required? What modifications are necessary in the spreadsheet model (including range name changes)? Make up values for any extra required input data and incorporate these into a modified spreadsheet model. Then optimize with Solver. Do you conclude that it is easy to resize a spreadsheet model? (By the way, it turns out that algebraic models are typically much easier to resize.)
- A manager of a large supermarket chain wants to predict the demand of the best-selling SKU of the Coke product family, namely the 16 oz 24-can case. The manager thinks that the demand of Coke may be related to its price, the national advertisement expenditure level of Coke, and the price of the 16 oz 24-can case Pepsi Cola. Based on a sample of 20 weeks of data of quantity sold (in cases) for the Coke Cola, price of Coke Cola (in dollars), Coke's advertisement expenditure (in million dollars), and the price of Pepsi Cola (in dollars), a multiple linear regression analysis was performed in Excel. A part of the output of the regression analysis is given below: SUMMARY OUTPUT Regression Statistics Multiple R R Square Adjusted R Square Standard Error Observations ANOVA Regression Residual Total Intercept Price of Coke Ad Expenditure Price of Pepsi 0.70955 0.503461 0.410359 2.130054 20 Df 3 16 19 Coefficients 48.63081 -0.3035 0.342937 0.23406 SS 73.60593 72.59407 146.2 Standard Error…Given that there are more women in the labor force, more women holding advanced degrees, how does the glass ceiling and the second shift contribute to the persistence of gender inequality?One major factor in low productivity is the amount of time wasted by workers. Wasted time could include things such as time spent waiting for more material and equipment, cleaning up mistakes, and performing any other activity not related to production. In a project designed to examine this problem, a consultant took a survey of 200 workers in companies that were classified as successful (on the basis of their latest annual profits) and another 200 workers from unsuccessful companies. The amount of time (in hours) wasted during a standard 40-hour workweek was recorded for each worker. Do these data provide enough evidence at the 5% significance level to infer that the amount of time wasted in unsuccessful firms exceeds that of successful ones? To answer this question, the consultant ran several analyses and provided the out below. Note that none of these analyses might be correct. A. H0: (μ1 - μ2) = 0 H1: (μ1 - μ2) > 0 B. H0: μD = 0 H1: μD > 0 C. H0: μD = 0…
- Four different formulations of an industrial glue are being tested. Each of the different formulations were randomly applied to joint parts of five test specimen and the tensile strength of the glue when it is applied to each test specimen is recorded. However, the tensile strength is also related to the application thickness. The data on the strength (in lbs) and thickness (in 0.01 inches) are shown in the following table. Specify the appropriate linear model and define each term in the context of the problem.Size of a firm matters for implementation of supply chain management practices. It implies that larger firms very frequently implement supply chain and use advanced technologies to integrate supply chain partners. A study has reported part of the relationship between types of firm (Private and Public) and supply chain management implementation and between size of a firm (small to large, in terms of number of employees) and supply chain management implementation in International Journal of Business Modelling and Supply Chain Management (Vol. 5, 2013). The following table shows number of different sized private and public firms participated in this study Private Public Total ≤ 24 employees 20 1 21 25-49 17 1 18 50-99 14 1 15 100-199 9 0 9 ≥ 200 employees 23 9 32 Total 83 12 95 Two following events are defined: A: {A firm participated in this study is Private} B: {A firm participated in this study has employees more than 49} Find a. P(A) and P(B) b. P(AUB) c. P(A∩B)1. Choose any 1-dimensional problem with at least 6 data points. 2. Solve the interpolating functions (with the aid of computer application/s) using the following methods a. Polynomial interpolation (any method), b. Piecewise Linear Interpolation, and c. Cubic Spline. Which interpolant gives more reasonable values between data points? Why?
- Show all your work. Indicate clearly the methods you use, because you will be scored on the correctness of your methods as well as on the accuracy and completeness of your results and explanations. The movement patterns of animals are believed to be affected by their physiological states (such as hunger), predation risk, and other factors such as whether they are searching for food for their young. Optimal foraging theory predicts that foragers (animals searching for food) with a central home location should move faster the farther they are from home. American beavers are foragers with a central home location that make foraging trips from their lodge and then return. To test the optimal foraging theory, researchers trapped and radio-tagged a random sample of 67 American beavers from the population in a certain region and recorded their movements over the course of about a year. The researchers fit a least-squares regression line to the data, where the explanatory variable was…Show all your work. Indicate clearly the methods you use, because you will be scored on the correctness of your methods as well as on the accuracy and completeness of your results and explanations. The movement patterns of animals are believed to be affected by their physiological states (such as hunger), predation risk, and other factors such as whether they are searching for food for their young. Optimal foraging theory predicts that foragers (animals searching for food) with a central home location should move faster the farther they are from home. American beavers are foragers with a central home location that make foraging trips from their lodge and then return. To test the optimal foraging theory, researchers trapped and radio-tagged a random sample of 67 American beavers from the population in a certain region and recorded their movements over the course of about a year. The researchers fit a least-squares regression line to the data, where the explanatory variable was…A health researcher wants to be able to predict maximal aerobic capacity (VO2max), an indicator of fitness and health. Normally, to perform this procedure requires expensive laboratory equipment and necessitates that an individual exercise to their maximum (i.e., until they can no longer continue exercising due to physical exhaustion). This can put all of those individuals that are not very active/fit and those individuals that might be at higher risk of ill health (e.g., older unfit subjects). For these reasons, it has been desirable to find a way of predicting an individuals VO2max based on more easily and cheaply measured attributes. To this end, the researcher recruits 100 participants to perform a maximum V02max test, and records various variables that might effect VO2max. He then runs a multiple regression in order to predict VO2max. Answer the following four questions related to the data. a. How many independent variables were used in the analysi? What were they? b. Describe if…