3) Find the optimum assignment plan of the following assignment problem: Worker 1 STWNT 2 3 4 5 AS A 5 10 7 20 12 B 33 Job C 8 12 10 5 10 25 18 10 8 D E 7 10 15 8 22 7 8 12 30 15
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- The file MidCity Download MidCitycontains data on 128 recent sales in Mid City. For each sale, the file shows the neighborhood (1, 2, or 3) in which the house is located, the number of offers made on the house, the square footage, whether the house is made primarily of brick, the number of bathrooms, the number of bedrooms, and the selling price. Neighborhoods 1 and 2 are more traditional neighborhoods, whereas neighborhood 3 is a newer, more prestigious neighborhood. PROBLEM 1: Construct 3 different confidence intervals. Part A) Sort and filter the data from the MidCity file so that you only consider the data from neighborhood 1. Construct a 99% confidence interval for the square footage of all homes in neighborhood 1. Make sure you list the specific equations you are using, ALL variables, show ALL work etc., in your report. You can use Excel to complete all computations. Remember to interpret these confidence intervals in the context of this problem. Use one Excel spreadsheet…Use the assignment method to obtain a plan that will minimize the processing costs in the following table under the following conditions: The combination 2-D is undesirable. The combinations 1-A and 2-D are undesirable.Create a problem and define the decision variables to meet the following LP formulation. A LP model is constructed for you, you will just write down a problem according to this LP formulation. Max Z= 2x1 + 3x2+ 5x3 subject to x1+ x2+ x3 ≥ 30 2x1 +3x2+ 4x3 ≤ 100 x1 - 2x2 ≤ 0 x1- x3 ≤ 50 x1, x2, x3 ≥ 0
- Create a problem and define the decision variables to meet the following LP formulation. A LP model is constructed for you, you will just write down a problem according to this LP formulation. Min Z = 0.4 x1 + 0.5 x2 Subject to 0.3 x1 +0.1 x2 ≤ 2.7 0.5x1 +0.5x2 = 6 0.6 x1 + 0.4x2 ≥ 6 x1 - 2x2 ≥ 0 x1, x2 ≥ 0In her last semester at SPC, Polly Hedron needs to take Statistics, Composition 2, and Ethics. Because Polly is registering early, she has 16 choices for her section of Statistics, 20 choices for her section of Composition, and 11 choices for her section of Ethics. From how many possible schedules can Polly choose? (You may presume that none of these sections interfere with each other)construct the initial plus one simplex tableaux for the following LPP: Max Z = X1 + 2x2 + 4x3 st : X1+X2 + X3 ≤ 400 x2+2x3 ≤ 300 x1 + x2 ≤ 200 x1, x2, x3 ≥ 0
- Suppose a certain manufacturing company produces connecting rods for 4- and 6-cylinder automobile engines using the same production line. The cost required to set up the production line to produce the 4-cylinder connecting rods is $2,500, and the cost required to set up the production line for the 6-cylinder connecting rods is $3,900. Manufacturing costs are $13 for each 4-cylinder connecting rod and $16 for each 6-cylinder connecting rod. Hawkins makes a decision at the end of each week as to which product will be manufactured the following week. If a production changeover is necessary from one week to the next, the weekend is used to reconfigure the production line. Once the line has been set up, the weekly production capacities are 6,000 6-cylinder connecting rods and 8,000 4-cylinder connecting rods. Let x4 = the number of 4-cylinder connecting rods produced next week x6 = the number of 6-cylinder connecting rods produced next week s4 = 1 if the production line is set up to…Suppose 50 percent of the customers at Pizza Palooza order a square pizza, 70 percent order a soft drink, and 35 percent order both a square pizza and a soft drink. Is ordering a soft drink independent of ordering a square pizza? Mutiple Choice:a. No b. YesThe number of daily proposals received by a developing country's government from enterprises interested in winning a contract for the construction of a new port facility is listed below. 2 3 2 4 3 5 2 1 6 4 7 2 5 1 6 (Show step by step and if handwriting neat and clear,i will upvote you)
- A company is taking bids on four construction jobs. Their bids, in thousands of dollars, are given below. Job 1 Job 2 Job 3 Job 4 Contractor 1 50 46 42 40 Contractor 2 51 48 44 - Contractor 3 - 47 45 45 A dash indicates that the contractor did not bid on the given job. Contractor 1 can do only one job, but contractors 2 and 3 can each do up to 2 jobs. Determine the minimum cost assignment of contractors to jobs.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. 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 who performed the service. Develop the estimated simple linear regression equation to predict the repair time (y) given the…(Restaurant work scheduling problem). The famous Y. S. Chang Restaurant is open 24 hours a day. Waiters and busboys report for duty at 3 a.m., 7 a.m., 11 a.m., 3 p.m., 7 p.m., or 11 p.m., and each works an 8-hour shift. The following table shows the minimum number of workers needed during the six periods into which the day is divided. Chang’s scheduling problem is to determine how many waiters and busboys should report for work at the start of each time period to minimize the total staff required for one day’s operation. (Hint: Let Xi equal the number of waiters and busboys beginning work in time period i, where i = 1, 2, 3, 4, 5, 6.) PERIOD TIME NUMBER OF WAITERS AND BUSBOYS REQUIRED 1 3 a.m.–7 a.m. 3 2 7 a.m.–11 a.m. 12 3 11 a.m.–3 p.m. 16 4 3 p.m.–7 p.m. 9 5 7 p.m.–11 p.m. 11 6 11 p.m.–3 a.m. 4