Minimum-Spanning Tree 1. Bechtold Construction is in the process of installing power lines to a large housing development. Steve Bechtold wants to minimize the total length of wire used, which will minimize his costs. The housing development is shown as a network in the Figure below. Each house has been numbered, and the distances between houses are given in hundreds of feet. What do you recommend? 3 7 12 14 5, 2 3 3 5. 7 13 4 3 11 10 6, 3) 2. 4. 2.
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Using NETWORK and ASSIGNMENT MODEL for Operation Management/Research please solve the attached problem. Show Solution.
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- a. A farmers' cooperative association plans to build a new sugar mill in Georgetown. The primary objective of the mill is to provide the farmers with a place to take their crop for processing that will reduce their transportation costs. The members of the co-op believe that the center-of-gravity method is appropriate for this objective. While there are over 200 sugar cane farms in the region, they are tightly clustered around six villages. Using the data below, use the center-of-gravity method to calculate the coordinates of the best location for this mill. All mileage references use Browns Town as (0,0). Village Barney Valley Blue Pasture Congo Valley Bower Rabacca Salem Miles East of Miles North of Sugar Cane Browns Town Browns Town 90 140 20 50 100 10 10 60 70 20 80 120 tonnage 240,000 320,000 450,000 120,000 60,000 140,000The Dynaco Manufacturing Company produces a product in a process consisting of operations of five machines. The probability distribution of the number of machines that will break down in a week follows: Machine Breakdowns Probability per Week 0.1 0.2 2 0.1 0.25 0.3 0.05 a. Simulate the machine breakdowns per week for 20 weeks. 4. b. Compute the average number of machines that will break down per weck.How to find centroid and area of given area?.
- How to get an equation, graph it, and solve it?How do you draw a risk free line on an efficient frontier graph?The construction manager for Acme Construction, Inc., must decide whether to build single-family homes, apartments, or condominiums. He estimates annual profits (in $000) will vary with the population trend as follows: Type POPULATION TREND Declining Stable Growing Single Family 200 90 70 Apartments 70 170 90 Condos (20 ) 100 220 If he feels the chances of declining, stable, and growing population trends are 40 percent, 50 percent, and 10 percent, respectively, what is his expected value of perfect information?
- The number of hybrid cars that have be requested for rental from a car rental office during a 50 day sample period is given in the following table. Demand for Cars Number of Days Probability 3 3 0.06 4 7 0.14 5 12 0.24 6 14 0.28 7 10 0.20 8 4 0.08 50 1.00What is the expected (mean) number of hybrid rentals per day? Compute to one decimal place.For example, a manager for Wal-Mart may have sufficient secondary data onincomes, family sizes, number of competitors, and growth potential to determine in which of five Iowa towns Wal-Mart wishes to locate its next store. And if traffic counts exist for the selected town, primary data will have to be gathered to select a specific site for the store. True False Which question should be posed in determining the accuracy of secondary data? A. What information was collected? B. What was the purpose of the study? C. Both a & b. D. Neither a nor b.Use the following information for the next 2 problems: A warehouse is to be built that will support three factories. The (x,y) location of each factory, annual volume and transportation rate from each factory is given below. Use a map scaling factor of K=500 miles. Factory Xi Yi Vi: Annual Volume (cwt) Ri: Rate ($/cwt per mile) ViRi ViRiXi ViRiYi 1 1.6 6.3 4,000 0.02 2 7.2 4.0 10,000 0.04 3 2.0 3.0 3,000 0.05 Totals: 1.Using the COG method, what is the optimal (x,y) location of a single warehouse? - (5.25,4.05) - (3.25, 4.05) - (4.5, 3.65) - (4.5, 5.15) - (5.25, 5.15) - (3.25, 3.65) 2.If the warehouse is located at an (x, y) of (8, 3), what would be the total transportation cost? - $994,153 - $874,153 - $844,153 - $904,153 - $964,153 - $934,153 3.According to Weber’s classification of industries. A weight-losing production process…
- The CEO of Lucky Petroleum Co. has been considering to open a new gasoline statioin. He must decide how large the station should be. The annual returns (IDR billions) will depend on both the size of the station and market factor. After a careful analysis he developed the following table: Size of Station Good Market Fair Market Poor Market Small 50 20 -10 Medium 70 30 -20 Large 100 50 -30 Probability 0.5 0.3 0.2 Compute the expected value of each alternative size of station, and select the best decision. Construct the opportunity loss table and determine the best decision. Compute the expected value of perfect information.A farmers' cooperative association plans to build a new sugar mill in Georgetown. Theprimary objective of the mill is to provide the farmers with a place to take their crop forprocessing that will reduce their transportation costs. The members of the co-op believe thatthe center-of-gravity method is appropriate for this objective. While there are over 200 sugarcane farms in the region, they are tightly clustered around six villages. Using the data below,use the center-of-gravity method to calculate the coordinates of the best location for this mill.All mileage references use Browns Town as (0,0).VillageMiles East ofBrowns TownMiles North ofBrowns TownSugar CanetonnageBarney Valley 90 10 240,000Blue Pasture 140 60 320,000Congo Valley 20 70 450,000Bower 50 20 120,000Rabacca 100 80 60,000Salem 10 120 140,000A path in a network has three activities. Their standard deviations are 1.50, 0.80, and 1.30. Find thepath standard deviation.