J.C. Howard's medical testing company in Kansas wishes to assign a set of jobs to a set of machines. The following table provides the production data of each machine when performing the specific job: Machine Job A B C 0 1 7 9 234 10 9 11 9 5 8 5 7 9 11 a) The optimal assignment of jobs to machine that will maximize total production is: Machine A Machine B Machine C Machine D 10 D96600 8 b) The total production of the assignment = units (enter your response as a whole number).
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- Five workers are available to perform four jobs. The time it takes each worker to perform each job is given in the following table. The goal is to assign workers to jobs so as to minimize the total time required to perform the five jobs: Time Worker Job 1 Job 2 Job 3 Job 4 Job 5 1 10 15 10 15 16 2 12 8 20 16 14 3 12 9 12 18 22 4 6 12 15 18 8 5 16 12 8 12 8 Which worker should be assigned to which job? What is the total time required? (Hint: Use the Assignment model). If there are only 4 jobs (assume that job 5 is not required), how would the workers be assigned to jobs? (Hint: Change the constraints in the Assignment model).The exercise involving data in this and subsequent sections were designed to be solved using Excel. Johnson Filtration, Inc. provides maintenance service for water-filtration systems. Suppose that in addition to information on the number of months since the machine was serviced and whether a mechanical or an electrical repair was necessary, the managers obtained a list showing which repairperson performed the service. The revised data follow. Repair Time(hours) Months SinceLast Service Type ofRepair Repairperson 2.9 2 electrical Dave Newton 3.0 6 mechanical Dave Newton 4.8 8 electrical Bob Jones 1.8 3 mechanical Dave Newton 2.9 2 electrical Dave Newton 4.9 7 electrical Bob Jones 4.2 9 mechanical Bob Jones 4.8 8 mechanical Bob Jones 4.4 4 electrical Bob Jones 4.5 6 electrical Dave Newton Ignore for now the months since the last maintenance service (x1 ) and the repairperson…In a study, the effects of the mane of a male lion as a signal of quality to mates and rivals was explored. Four life-sized dummies of male lions provided a tool for testing female response to the unfamiliar lions whose manes varied by length (long or short) and color (blonde or dark). The female lions were observed to see whether they approached each of the four life-sized dummies. Complete parts (a) through (e) below. a. Identify the experimental units. Choose the correct answer below. The female lions The male dummies The mane colors The mane lengths Part 2 b. Identify the response variable. Choose the correct answer below. A. Whether or not (yes or no) the mane length affected how the female lions reacted to a male dummy. B. Whether or not (yes or no) the female lions approached the same dummies. C. Whether or not (yes or no) the female lions approached a male dummy. D. Whether or not…
- The service charge for repairs at an automobile service center is based on a standard time specified for each type of repair. The time specified for the replacement of the universal joint a driveshaft is one hour. To better serve the customers, the management would like to change the time specified in their service fee rates. The manager reviews such repairs and assumed that the workers are working faster than the standard time. The manager observed 30 of such repairs and gets an average repair time of 0.86 hours with a standard deviation of 0.32 hours. Test at the 1% level of significance the null hypothesis for the actual average time for this repair. Show the following steps. a. Formulation of the hypothesis and identifying the claimb. Determining what test to be usedc. Identifying the significance level and critical valued. Computation of the test statistice. Comparing the absolute value of the computed test statictic and critical value, decide whether null hypothesis is accepter…RVW (Restored Volkswagens) buys 15 used VW's at each of two car auctions each week held at different locations. It then transports the cars to repair shops it contracts with. When they are restored to RVW's specifications, RVW sells 10 each to three different used car lots. There are various costs associated with the average purchase and transportation prices from each auction to each repair shop. Also there are transportation costs from the repair shops to the used car lots. RVW is concerned with minimizing its total cost given the costs in the table below. a. Given the costs below, draw a network representation for this problem. Repair Shops Used Car Lots S1 S2 L1 L2 L3 Auction 1 460 520 S1 250 300 500 Auction 2 450 500 S2 300 550 450 b. Formulate this problem as a transshipment…A manufacturer produces washdown motors for the food service industry. The company manufactures the motors to order by modifying a base model to meet the specifications requested by the customer. The motors are produced in a batch environment, with the batch size equal to the number ordered. The manufacturer has recently sampled 50 customer orders. The motor manufacturer would like to determine if there is a relationship between the cost of producing the order and the order size so that it could estimate the cost of producing a particular size order. (A) Use the sample data to estimate the least squares regression model. (B) Provide an interpretation of the regression coefficients. (C) Test the significance of the overall regression model using a significance level of 0.02. (D) The company has just received an order for 30 motors. Use the regression model developed in part a to estimate the cost of producing this particular order. (E) Referring to part d, what is the 95% confidence…
- The first three columns in the file $ wa\_wheat $ contain observations on wheat yield in the Western Australian shires Northampton, Chapman Valley, and Mullewa, respectively. There are 48 annual observations for the years 1950 - 1997. The name of the varibale that contains data on the crop yields of the Chapman Valley Shire is called chapman . For the Chapman Valley Shire, consider the four itens below: The tasks performed in this exercise requires the commands discussed in the Notebook Week_5_Econ_103_Lab_Class 2021.ipynb Please study the Notebook before attempting the question. (a) This item consistis of three tasks where Y syands for crop yield of the Chapman Valley Shire: (a.1) Estimate the Linear model Y = ẞ₁ + B₂time + € (a.2) Plot the residuals of the regression (for commands, you can check Section 1 of Week_5_Econ_103_Lab_Class_Part_II.ipynb) (a.3) Test the normality of the residuals using the Jarque-Bera test (for Jarque-Bera test commands, see Section 3 of…A meat processing factory performs tasks by a series of 4 operators. Below table lists for each of the four resource pools, the unit load and the number of resource units. Base on this information, compute the effective capacity of each of the resource pools. Which one is the bottleneck of the meat processing operation? operator 3 operator 1 operator 2 operator 4Pete Ross read in a Wall Street Journal article that the cost of parts and labor to make an Apple iPhone 4S were as follows: Display Memory Labor $ 44.00 $ 27.10 $ 5.00 $ 24.36 $ 17.10 $ 81.44 Wireless Camera Additional items Assuming Pete pays $657 for an iPhone 4S, how much profit does the iPhone generate? Profit Next > < Prev 13 of 15
- A national truck rental services has a surplus of one truck in each of the cities, 1, 2, 3, 4, 5, and 6 and a deficit of one truck in each of the cities 7,8,9,10,11 and 12.The distance (in kilometers) between the cities with a surplus and cities with deficit are displayed below:a) How should the trucks be displayed so as to minimize the total distance travelled? 1 2 3 4 5 6 7 41 72 39 52 25 51 8 22 29 49 65 81 50 9 27 39 60 51 32 32 10 45 50 48 52 37 43 11 82 40 40 60 51 30The data set consists of information on 4500 full-time full-year workers. The highest educational achievement for each worker was either a high school diploma or a bachelor's degree. The worker's ages ranged from 25 to 45 years. The data set also contained information on the region of the country where the person lived, marital status, and number of children. For the purposes of these exercises, let AHE = average hourly earnings (in 2005 dollars) College = binary variable (1 if college, 0 if high school) Female = binary variable (1 if female, 0 if male) Age = age (in years) Ntheast = binary variable (1 if Region = Northeast, 0 otherwise) Midwest = binary variable (1 if Region = Midwest, 0 otherwise) South = binary variable (1 if Region = South, 0 otherwise) West = binary variable (1 if Region = West, 0 otherwise) %3D %3D %3D %3D %3D %3D %3D Results of Regressions of Average Hourly Earnings on Gender and Education Binary Variables and Other Characteristics Using Data from the Current…The Journal of Engineering in Industry (Aug. 1993) reported on an automated system designed to replace the cutting tool of a drilling machine at optimum times. To test the system, data were collected over a broad range of materials, drill sizes, drill speeds, and feed rates – called machining conditions. Although a total of 168 different machining conditions were possible, only eight were employed in this study. These are described below: Experiment Workpiece Drill Size (in.) 25 25 Drill Speed (грт) 1250 1800 Feed Rate Material (ipr) .011 .005 1 Cast Iron Cast Iron Steel Steel 25 25 3750 2500 .003 .003 .008 4 Steel 25 .125 .125 2500 Steel Steel 4000 4000 3000 .0065 .009 .010 Steel .125 a. Suppose one (and only one) of the 168 possible machining conditions will detect a flaw in the system. What is the probability that the experiment conducted in the study will detect the system flaw? b. Suppose the system flaw occurs when drilling steel material with a 25-inch drill size at a speed of…
