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

Find the Given details below: Given details: A B C D E Capacity Unit cost 1 15 20 10…

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

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

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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
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Casper Geriatric Center, a senior medical facility located in a large hospital in New Zealand, started a procedure where their guests receive their meals in their rooms while the food is still as hot as possible. The facility will continue to prepare the food in the commissary, but will now deliver it in bulk (not individual servings) to one of three new meal serving stations in the building. From there, the food will be reheated, meals will be placed on individual trays, loaded onto a cart, and distributed to the various floors and sections of the facility. The three new serving stations are as efficiently located as possible to reach the various hallways in the facility. The purpose of the new procedure is to increase the temperature of the hot meals that the guest receives. Therefore, the amount of time needed to deliver a tray from a serving station will determine the proper distribution of food from serving station to section. The table below summarizes the time associated with…
Diana are currently employed as full-time supervisor at a wealth management company in Kuala Lumpur, and she want to negotiate with the head manager, Mrs. Janice to work flexible hours from home on long term bases due to her condition which have previously miscarriage for two times. She is worried about her current pregnancy which just entered the second month. She and her husband has been waiting to conceive for more than 4 years. However, Diana want to implement this flexible hour (work remotely) to everyone in the company. Diana want to work remotely because she is now having to take care of herself as according to the doctor, she is so fragile at the early of her pregnancy. She must reduce her steps to make sure no bleeding could happen. Since she was on work from home mode for the last month as she is given bed rest by the doctor, she seems to prefer working in such condition. Diana found that working remotely gave her the flexibility and was able to concentrate a lot more…
Casper Geriatric Center, a senior medical facility located in a large hospital in New Zealand, started a procedure where their guests receive their meals in their rooms while the food is still as hot as possible. The facility will continue to prepare the food in the commissary, but will now deliver it in bulk (not individual servings) to one of three new meal serving stations in the building. From there, the food will be reheated, meals will be placed on individual trays, loaded onto a cart, and distributed to the various floors and sections of the facility. The three new serving stations are as efficiently located as possible to reach the various hallways in the facility. The purpose of the new procedure is to increase the temperature of the hot meals that the guest receives. Therefore, the amount of time needed to deliver a tray from a serving station will determine the proper distribution of food from serving station to section. The table below summarizes the time associated with…
Airline Scheduling. Alpha Airline wishes to schedule no more than one flight out of a given airport to each of the following cities: C, D, L, and N. The available departure slots are 8 a.m., 10 a.m., and 12 noon. Alpha leases the airplanes at the cost of $5000 before and including 10 a.m. and $3000 after 10 a.m., and is able to lease at most two per departure slot. Also, if a flight leaves for location N in a time slot, there must be a flight leaving for location L in the same time slot. The expected profit (in $1000) contribution before rental costs per flight is shown in the table below. Time Slot 8 10 12 C 10 6 6 D 9 10 9 L 14 11 10 N 18 15 10 a) Formulate an integer linear program model that can be used to find the profit-maximizing schedule. Define your decision variables as Xij = 1 if a flight to destination i occurs in time slot j and Xij = 0 otherwise; and Yj = number of airplanes rented for time slot j. Write the objective function and all the constraints. b)…

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