A contractor has one crane available at four different building sites at which work has just been completed. The contractor wants to move the four cranes to four new sites. The transportation time (in hours) between the old and the new sites is presented in the table below. New Sites Old Sites I II III IV A 3.50 4.00 8.50 5.00 B 4.25 5.50 9.25 5.50 с 6 5.50 7.50 6.50 D 4.00 7.00 7.50 3.75 a) Develop a mathematical model that can be used to find the optimal way to move the cranes between old and new sites optimally. b) Solve the problem using Microsoft Excel (Please, submit your Excel file along with your
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- Required information The Childfair Company has three plants producing child push chairs that are to be shipped to four distribution centers. Plants 1, 2, and 3 produce 12, 17, and 11 shipments per month, respec- tively. Each distribution center heeds to receive 10 shipments per month. The distance from each plant to the respective distributing centers is given below: Distance Plant 1 2 3 1 1450 1750 1250 Distribution Center 3 1050 1250 1450 Obtain an optimal solution, and determine the total cost. Total Cost = $ 2 1950 2050 1850 The freight cost for each shipment is $100 plus 50 cents per mile. 4 1350 1650 1550Maxie is leaving the Goucher Basketball jersey making business and is closing three of her factories. She would like to reassign all 235 of her best workers to Bianca's remaining factories. Closing Plant: No. of Workers to Transfer 1 60 2 105 3 70 Total: 235 However, demand for skilled labor in the Goucher basketball jersey making market has decreased. Bianca has three open plants that have openings, but not enough for all 235 employees looking to be transferred. The below table summarizes Bianca's current needs: Open Plant: No. of Open Positions A 45 B 90 C 35 Total: 170 Each worker who fills an open position on the assembly line will increase the number of Goucher basketball jerseys produced per day at each plant as shown in the following table: To: From: A B C 1 5 8 6 2 10 9 12 3 7 6 10 To maximize product output, how many workers should be assigned from Plant 1 to.. Plant A: Plant B: Plant C: from Plant 2 to.. Plant A: Plant B: Plant C: from Plant 3 to.. Plant A: Plant B: Plant C:…Takalani and Jasmin have been operating a Chisanyama business for 11 years. They have their business in a very busy corner and lately, customers have complained about the duration they have to wait for their food. Takalani and Jasmin have gathered the team and as a group, they have to decide how they are going to manage this problem, more so because the business continues to grow and has secured big contracts to cater at Political and corporate events. Compare and contrast two quantitative tools for decision-making in conditions of certainty and justify the decision-making tool that should be applied in the above scenario.
- By Monday April 16th the following towns will need the numbers of coal cars listed: coal valley 30 Coaltown 45 Coal Junction 25 Coalsburg 20 Using a railway city to city distance chart, the dispatcher constructs a mileage table on this page. Minimizing total miles over which cars are moved to new locations, compute the best shipment of coal cars.Draw the schedual network diagramand duration while calculating the following: Forward pass, backward pass, float and stake.3.Silicon Valley Transport Commission (SVTC) has a fleet of maintenance vehicles that includes cars, vans, and trucks. SVTC is currently evaluating four different approaches to help them maintain their fleet of cars and vans efficiently at the lowest possible cost. Their options are: (1) No preventive maintenance at all and repair vehicle components when they fail; (2) Take oil samples at regular intervals and perform whatever preventive maintenance is indicated by the oil analysis; (3) Perform an oil change on a regular basis on each vehicle and perform repairs when needed; (4) perform oil changes at regular intervals, take oil samples regularly, and perform maintenance repairs as indicated by the sample analysis. Option #1 costs nothing to implement and results in two possible outcomes: There is a .10 probability that a defective component will occur, requiring emergency maintenance at a cost of $1,200, or there is a chance that no defects will occur and no maintenance will be…
- Best-ride airlines that operates seven days a week has the following time-table. Delhi - Mumbai Mumbai - Delhi Flight No Departure Arrival 1 7.00 8.00 2 8.00 9.00 3 13.00 14.00 4 18.00 19.00 Flight No Departure Arrival 101 8.00 9.00 102 9.00 10.00 103 12.00 13.00 104 17.00 18.00 Crews must have a minimum layover of 5 hours between flights. Obtain the pairing of flights that minimizes layover time away from home. For any given pairing, the crew will be based at the city that results in the smaller layover. For each pair also mention the city where crew should be based.(1) Find an optimal assignment of trucks to routes to minimize the total cost (using the Hungarian Method). B C 6 12 15 10 11 7 16 9 Truck / Route 1 2 3 4 Step la: Row subtraction (show your steps, e.g., see cell 1A) Truck / Route B 1 2 3 4 A 10 11 9 14 Step 1b: Column subtraction. Truck / Route 1 2 3 4 A 10-6=4 = = = = = B = с = C Step 2: Testing for optimal solution (show your lines covering the zero entries). What is the minimum number of lines required to cover all zeros? D 8 14 10 13 D = = D =4.Silicon Valley Transport Commission (SVTC) has a fleet of maintenance vehicles that includes cars, vans, and trucks. SVTC is currently evaluating four different approaches to help them maintain their fleet of cars and vans efficiently at the lowest possible cost. Their options are: (1) No preventive maintenance at all and repair vehicle components when they fail; (2) Take oil samples at regular intervals and perform whatever preventive maintenance is indicated by the oil analysis; (3) Perform an oil change on a regular basis on each vehicle and perform repairs when needed; (4) perform oil changes at regular intervals, take oil samples regularly, and perform maintenance repairs as indicated by the sample analysis. Option #1 costs nothing to implement and results in two possible outcomes: There is a .10 probability that a defective component will occur, requiring emergency maintenance at a cost of $1,200, or there is a chance that no defects will occur and no maintenance will be…
- please do it in excel BETTER PRODUCTS COMPANY has decided to start manufacturing four new products in three plants that currently have excess production capacity. The products require comparable production effort per unit, so the available production capacity in the plants is measured by the number of units of any product that can be manufactured per day. a)Formulate this problem as a transportation problem by constructing the appropriate parameter table. Note:One image is of the data and the other image is option 1 to solve the exercise.ces around the United States. SP currently operates four manufacturing centers in Philadelphia, PA; Atlanta, GA; St. Louis, MO, and Salt Lake City, UT. The plants have different capacities and production costs as indicated in the table below. PLANT Philadelphia Atlanta St. Louis Salt Lake City MAXIMUM CAPACITY PRODUCT COST (PER (x 100,000 POUNDS) 1,000 POUNDS) SP currently has six contract customers located in New York City, Birmingham, AL; Terre Haute, IN; Dallas, TX; Spokane, WA; and San Diego, CA. Transportation costs between the plants and various customers, as well as contracted demand from each customer, are shown in the table below. FROM/TO Philadelphia Atlanta St. Louis Salt Lake City Total Demand (x 1,000 pounds) 7.2 9.4 12.0 10.3 From/To Philadelphia Atlanta St. Louis Salt Lake City NYC $42 NYC $336.00 $286.00 $316.00 $261.00 52 54 69 540 TRANSPORT COSTS PER 1,000 POUNDS BIRMINGHAM TERRE HAUTE DALLA $49 39 57 68 430 Create a solver model and find the optimal solution to help…ART Contractors must locate an equipment staging area to serve three construction sites, located at coordinates (0,2), (0,4), and (5,5). Traffic between the staging area and each of the three sites will be equal. What is the best set of coordinates for the equipment staging area? Please show the math.