Optimal Prime is leading its group of AMPLbots into battle against Gigatron and the Deceivacons, fighting for the planet Psybertron. (No relation to any existing franchises, toys or movies with bad plots).Optimal Prime needs to place its troops at a number of bases, where they will be teleported to each outpost where they are needed. Each outpost has a number of required troops, and each base can only support a certain number of troops.The cost in energy of transporting a single bot from a base to an outpost is given in the map. Due to battle damage, some of the teleportation links are not working, so only the arcs shown on the map are usable.Each base also has an energy cost for each bot stationed there. Being very optimal, Optimal Prime wants to place its troops in a way that uses the least energy. Where should the troops be stationed? What would be the optimal total cost of Optimal Prime?In the diagram, bases are denoted as squares and outposts as circles.1Capacity: 250Unit cost: 202Capacity: 300Unit cost: 25Capacity: 100Unit cost: 1015203Capacity: 200Unit cost: 1520ADemand:15010152520CDemand:100EDemand:175Demand:12510DDemand:150

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Answered: Optimal Prime is leading its group of…

Practical Management Science

6th Edition

ISBN:9781337406659

Author:WINSTON, Wayne L.

Publisher:WINSTON, Wayne L.

Chapter2: Introduction To Spreadsheet Modeling

Section: Chapter Questions

Problem 20P: Julie James is opening a lemonade stand. She believes the fixed cost per week of running the stand...

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TMA manufactures 37-in. high definition LCD televisions in two separate locations, Locations I and II. The output at Location I is at most 6000 televisions/month, whereas the output at Location II is at most 5000 televisions/month. TMA is the main supplier of televisions to the Pulsar Corporation, its holding company, which has priority in having all its requirements met. In a certain month, Pulsar placed orders for 3000 and 4000 televisions to be shipped to two of its factories located in City A and City B, respectively. The shipping costs (in dollars) per television from the two TMA plants to the two Pulsar factories are as follows. To Pulsar Factories From TMA City A City B Location I $5 $3 Location II $6 $9 TMA will ship x televisions from Location I to city A and y televisions from Location I to city B. Find a shipping schedule that meets the requirements of both companies while keeping costs to a minimum. (x, y) =…
NOTE: The answer of this question should be limited to ONE page of writing with reasonable size of fonts. The provincial government plans to distribute certain types of vaccines to the 3 major urban centers of the province covering a large portion of the provincial population. The 5 million doses of vaccines are expected to arrive in large batches at one of the major cargo airports by 2 military transporter airplanes in a single day. The vaccines will then be distributed to the 3 cities with the number of doses corresponding to the population sizes of the 3 cities. They will be further distributed to the 20 hospitals and about 200 local clinics in these 3 cities. Officials of the provincial health agency must plan for the upcoming vaccine distribution. Assume that you are asked to suggest several methods/tools in Industrial Engineering and Operations Research you have learned from this course. Present 3 such methods and for EACH of these methods, briefly explain: 6.1) For solving which…
Earth Resources Corporation is a multinational company engaged in steamfield development and power plant construction through the government's use of build-operate- transfer (BOT) contracts. Recently, the company has been awarded contracts and has to start drilling operations at four (4) new geothermal sites in the Philippines. In order to ensure that drilling operations are on schedule and in accordance with the provisions of the contract, Earth Resources must send a team of two (2) drilling engineers to each site. Currently, they have eight (8) drilling engineers at various sites where the drilling is almost completed. The chief executive officer (CEO) wants to mobilize all the eight engineers to the four new sites in such a way that the total costs involved is minimized. The CEO requested the company's chief accountant, Ms. Debbie Castro, to prepare a summary of the estimated mobilization costs from the engineer's present locations to their probable new assignments. accomplished…
Embassy Motorcycles (EM) manufactures two lightweight motorcycles designed for easy handling and safety. The EZ-Rider model has a new engine and a low profile that make it easy to balance. The Lady-Sport model is slightly larger, uses a more traditional engine, and is specifically designed to appeal to women riders. Embassy produces the engines for both models at its Des Moines, Iowa, plant. Each EZ-Rider engine requires 6 hours of
Q4) A rural country administration wants to locate several medical emergency response units so that it can respond to calls within the county within eight minutes of the call. The county is divided into seven population zones. The distance between the centers of each pair of zones is known and is given in the matrix below. The response units can be located in the center of population zones 1 through 7 at a cost (in hundreds of thousands of dollars) of 100, 80, 120 110, 90, 90, and 110 respectively. Assuming the average travel speed during an emergency to be 60 miles per hour, formulate an appropriate set covering model to determine where the units are to be located and how the population zones are to be covered.
The Noname Computer Company builds a computer designated model ICU2. It imports the motherboard of the computer from Taiwan, but the company inserts thesockets for the chips and boards in its plant in Lubbock, Texas. Each computerrequires a total of ninety 64K dynamic random access memory (DRAM) chips.Noname sells the computers with three add-in boards and two disk drives. The company purchases both the DRAM chips and the disk drives from an outside supplier.The product structure diagram for the ICU2 computer is given in Figure 8–6.Suppose that the forecasted demands for the computer for weeks 6 to 11 are220, 165, 180, 120, 75, 300. The starting inventory of assembled computers inweek 6 will be 75, and the production manager anticipates returns of 30 in week 8and 10 in week 10.a. Determine the MPS for the computers.
The Noname Computer Company builds a computer designated model ICU2. It imports the motherboard of the computer from Taiwan, but the company inserts thesockets for the chips and boards in its plant in Lubbock, Texas. Each computerrequires a total of ninety 64K dynamic random access memory (DRAM) chips.Noname sells the computers with three add-in boards and two disk drives. The company purchases both the DRAM chips and the disk drives from an outside supplier.The product structure diagram for the ICU2 computer is given in Figure 8–6.Suppose that the forecasted demands for the computer for weeks 6 to 11 are220, 165, 180, 120, 75, 300. The starting inventory of assembled computers inweek 6 will be 75, and the production manager anticipates returns of 30 in week 8and 10 in week 10.c. Determine the schedule of outside orders for the disk drives
The Canadian government has built a large grain-shipping port at Churchill, Manitoba, on the Hudson Bay. Grain grown in southern Manitoba is carried by rail to Churchill during the open-water shipping season. Unfortunately the port is open only 50 days per year during July and August. This leads to some critical crew staffing decisions by management. The port has the capacity to load up to 7 ships simultaneously, provided that each loading bay has an assigned crew. The remote location and short shipping season results in a very high labor cost for each crew assigned, and management would like to minimize the number of crews. Ships arrive in a random pattern that can be modeled using the Poisson probability model. If a ship arrives and all available loading bays are filled, the ship will be delayed, resulting in a large cost that must be paid to the owner of the ship. This penalty was negotiated to encourage ship owners to send their ships to Churchill.Results of an initial analysis…
Companies A, B, and C supply components to three plants (F, G, and H) via two crossdocking facilities (D and E). It costs $4 to ship from D regardless of final destination and $3 to ship to E regardless of supplier. Shipping to D from A, B, and C costs $3, $4, and $5, respectively, and shipping from E to F, G, and H costs $10, $9, and $8, respectively. Suppliers A, B, and C can provide 200, 300 and 500 units respectively and plants F, G, and H need 350, 450, and 200 units respectively. Crossdock facilities D and E can handle 600 and 700 units, respectively. Logistics Manager, Aretha Franklin, had previously used "Chain of Fools" as her supply chain consulting company, but now turns to you for some solid advice. What is the objective function? Group of answer choices Max Z = $3AD + $3AE + $4BD + $3BE + $5CD + $3CE + $4DF + $4DG + $4DH + $10EF + $9EG + $8EH Min Z = $3AD + $3AE + $4BD + $3BE + $5CD + $3CE + $4DF + $4DG + $4DH + $10EF + $9EG + $8EH Min Z = $3AD + $3BE + $5CD + $3CE…
Companies A, B, and C supply components to three plants (F, G, and H) via two crossdocking facilities (D and E). It costs $4 to ship from D regardless of final destination and $3 to ship to E regardless of supplier. Shipping to D from A, B, and C costs $3, $4, and $5, respectively, and shipping from E to F, G, and H costs $10, $9, and $8, respectively. Suppliers A, B, and C can provide 200, 300 and 500 units respectively and plants F, G, and H need 350, 450, and 200 units respectively. Crossdock facilities D and E can handle 600 and 700 units, respectively. Logistics Manager, Aretha Franklin, had previously used "Chain of Fools" as her supply chain consulting company, but now turns to you for some solid advice. Set up the solution in Excel and solve with Solver. What are total costs?
Suppose the following costs for a 10-hour round-trip flight apply to the time frame and expenses of an unscheduled 5-hour charter flight from Baltimore to Las Vegas (and return the next day) on a seven-year-old Boeing 737–800 with 120 occupied seats. Some costs listed in the table have been aggregated up to the flight level from a seat-level decision where they are incurred. Others have been allocated down to the flight level from an entry/exit or maintain-ownership company-level decision. Still other costs vary with the go/no go flight-level decision itself. Your job is to analyze each cost item and figure out the “behavior of cost”—that is, with which decision each cost varies. Fuel and landing fees =$5,200 Quarterly airframe maintenance re: FAA certificate = $1,000 Unscheduled engine maintenance per 10 flight hours =$1,200 Pro rata time depreciation for seventh year of airframe = $7,200 Flight pay for pilots per round-trip flight = $4,200 Long-term hangar facility lease = $6,600…
Formulate but do not solve the problem.The management of Hartman Rent-A-Car has allocated $2.25 million to buy a fleet of new automobiles consisting of compact, intermediate-size, and full-size cars. Compacts cost $18,000 each, intermediate-size cars cost $27,000 each, and full-size cars cost $36,000 each. If Hartman purchases twice as many compacts as intermediate-size cars and the total number of cars to be purchased is 100, determine how many cars of each type will be purchased. (Assume that the entire budget will be used. Let x, y, and z denote the number of compact, intermediate-sized, and full-size cars purchased, respectively.) = 2,250,000 = x = 100

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