Concept explainers
a)
To determine: The cities where the centers should be located.
Introduction: The variation between the present value of the
b)
To determine: The cities where the centers should be located and the number of centers needed.
Introduction: The variation between the present value of the cash outflows and the present value of the cash inflows are known as the Net Present Value (NPV).
c)
To determine: The cities where the centers should be located and the number of centers needed.
Introduction: The variation between the present value of the cash outflows and the present value of the cash inflows are known as the Net Present Value (NPV).
d)
To determine: The cities where the 3 centers should be located.
Introduction: The variation between the present value of the cash outflows and the present value of the cash inflows are known as the Net Present Value (NPV).
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Chapter 6 Solutions
Practical Management Science
- A retail store in Des Moines, Iowa, receives shipments of a particular product from KansasCity and Minneapolis. Let x 5 number of units of the product received from Kansas City y 5 number of units of the product received from Minneapolisa. Write an expression for the total number of units of the product received by the retail store in Des Moines. b. Shipments from Kansas City cost $0.20 per unit, and shipments from Minneapolis cost$0.25 per unit. Develop an objective function representing the total cost of shipments to Des Moines. c. Assuming the monthly demand at the retail store is 5000 units, develop a constraint that requires 5000 units to be shipped to Des Moines. d. No more than 4000 units can be shipped from Kansas City, and no more than 3000 units can be shipped from Minneapolis in a month. Develop constraints to model this situation. e. Of course, negative amounts cannot be shipped. Combine the objective function and constraints developed to state a mathematical model…arrow_forward2.) Your business provides technical support for very complex and specialized machinery used by companies throughout the country, and you currently have support centers at 5 locations. However, due to a poor market, you have been forced to close your centers in Houston and San Diego. You will have to relocate all of your technicians in these two centers to your other three centers in Cleveland, Seattle, and Charlotte. Due to the varying costs of living in each city, and travel and retraining times, the cost for relocating an employee varies depending on where the employee is moving. These costs are given in the following table: To: From: Cleveland Seattle Charlotte $5,000 | $7,000 $7,000 $4,000 $6,000 $8,000 Houston San Diego You currently have 40 employees in Houston and 55 employees in San Diego, which all need to be relocated. Cleveland is able to take in at most 35 relocated employees, Seattle can take in at most 32 employees, and Charlotte is able to take in at most 50 employees.…arrow_forwardDraw the network for this transportation problem. (Let xij represent the flow from node i to node j.) Min 2x13 + 4x14 + 6x15 + 8x23 + 11x24 + 9x25 s.t. x13 + x14 + x15 ≤ 500 x23 + x24 + x25 ≤ 400 x13 + x23 = 300 x14 + x24 = 300 x15 + x25 = 300 xij ≥ 0arrow_forward
- Explain how to determine the number of variables and constraints that would be in a transportation problem simplyby knowing the number of sources and the number of destinations.arrow_forwardA travelling salesman has to visit five cities. He wishes to start from a particular city, visit each city only once and then return to his starting point. The travelling cost of each city from a particular city is given below. To city A BC DE A x 2 5 7 1 B 6 x 3 8 2 From city C 8 7 x 4 7 D 12 4 6 x 5 E 1 3 28 x How should the jobs be allocated, one per employee, so as to minimize the total man-hours?arrow_forwardThe distance between two cities in the United States can be approximated by the following formula, where lat1 and long1 are the latitude and longitude of city 1 and lat2 and long2 are the latitude and longitude of city 2. 69 (lat1 − lat2)2 + (long1 − long2)2 Ted's daughter is getting married, and he is inviting relatives from 15 different locations in the United States. The file Wedding gives the longitude, latitude, and number of relatives in each of the 15 locations. Ted would like to find a wedding location that minimizes the demand-weighted distance, where demand is the number of relatives at each location. Assuming that the wedding can occur anywhere, find the latitude and longitude of the optimal location. (Hint: Notice that all longitude values given for this problem are negative. Make sure that you do not check the option for Make Unconstrained Variables Non-Negative in Solver. Round your answers to three decimal places.) latitude of the optimal wedding location:…arrow_forward
- Which of the following is NOT a method to develop an initial solution to a transportation model? - Group of answer choices - None...all are methods to develop an initial solution - northwest corner method - linear programming - intuitive least cost methodarrow_forwardJ 2 An electronics store wants to identify a location for a warehouse that will ship to five retail stores. The coordinates and annual number of truckloads are given in the accompanying table. Develop a model to find the best location, assuming that straight-line distances can be used between the locations. Experiment with the model by testing each of the possible best solutions, included, to find the best location. Click here to view the data for the store locations and annual numbers of truckloads. Click here to view some possible best solutions. The best location is at____. (Type an ordered pair. Round each coordinate to the nearest integer as needed.)arrow_forwardUse Kruskal's algorithm to find the minimum spanning tree path K₂. List all of the edges and list their weights in order in the chart below. In the third row of the table put YES is you are using the edge or NO if you are not. Edge Wt. Select 3 d a K3 Marbet 6 The total weight of the minimum spanning tree is:arrow_forward
- The figure below shows the nodes (A-I) and capacities (labelled on arcs in TB/s) of a computer network. The firm would like to know how much information can flow from node A to node I. A 10 25 B C 21 11 14 D E F 23 14 13 H 14 10 Note: This question requires Solver. Formulate the problem in Solver and find the optimal solution. At maximum capacity, what will be the data flow between nodes F and H?arrow_forwardb) The Scott Tractor Company ships tractor parts from Omaha to St. Louis by railroad. However, a contract limits the number of railroad cars the company can secure on each branch/arc during a week. Given these limiting conditions, the company wants to know the maximum number of railroad cars containing tractor parts that can be shipped from Omaha to St. Louis during a week. Phoenix Des Moines 3 5 6. 6. 1. Dallas 2 Omaha St. Louis 7. 3 Denver 6. ActivateW O 31°Carrow_forwardCreate a PowerPoint Presentation on a CITY you would like to visit. You need to include the following slide elements as explained in the directions below. Directions: 1. The presentation should be a minimum of 10 slides. One Slide should contain your Name, USCID: 2016091267, and the name of the city. One slide should explain why you picked this city and/or why you wish to visit it. One slide should include a numbered list (at least 5items) that explains four things you would like to do or see in that city. At least two slides should provide additional information about the city including the history of the city, demographics of the city and other interesting things about the city such as the culture, native food, current events, etc. One slide should have a picture as the background of the slide2. Select a Design Theme3. Modify your font Your text should have at least 3 different font types. You should change the font color of some of your text.4.…arrow_forward
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