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Question: The Coola ire Company manufactures air conditioners

The Coola ire Company manufactures air conditioners that are sold to five different retail customers across the United States. The company is evaluating its manufacturing and logistics strategy to ensure that it is operating in the most efficient manner possible. The company can produce air conditioners at six plants across the country and stock these units in any of four different warehouses. The cost of manufacturing and shipping a unit between each plant and warehouse is summarized in the following table along with the monthly capacity and fixed cost of operating each plant.
The Coola ire Company manufactures air conditioners that are sold to five different retail customers across the United States. The company is evaluating its manufacturing and logistics strategy to ensure that it is operating in the most efficient manner possible. The company can produce air conditioners at six plants across the country and stock these units in any of four different warehouses. The cost of manufacturing and shipping a unit between each plant and warehouse is summarized in the following table along with the monthly capacity and fixed cost of operating each plant.

Similarly, the per-unit cost of shipping units from each warehouse to each customer is given in the following table, along with the monthly fixed cost of operating each warehouse

Coola ire would like to determine which plants and warehouses it should operate to meet demand in the most cost-effective manner.
a. Create a spreadsheet model for this problem and solve it.
b. Which plants and warehouses should Coola ire operate?
c. What is the optimal shipping plan?

Similarly, the per-unit cost of shipping units from each warehouse to each customer is given in the following table, along with the monthly fixed cost of operating each warehouse
The Coola ire Company manufactures air conditioners that are sold to five different retail customers across the United States. The company is evaluating its manufacturing and logistics strategy to ensure that it is operating in the most efficient manner possible. The company can produce air conditioners at six plants across the country and stock these units in any of four different warehouses. The cost of manufacturing and shipping a unit between each plant and warehouse is summarized in the following table along with the monthly capacity and fixed cost of operating each plant.

Similarly, the per-unit cost of shipping units from each warehouse to each customer is given in the following table, along with the monthly fixed cost of operating each warehouse

Coola ire would like to determine which plants and warehouses it should operate to meet demand in the most cost-effective manner.
a. Create a spreadsheet model for this problem and solve it.
b. Which plants and warehouses should Coola ire operate?
c. What is the optimal shipping plan?

Coola ire would like to determine which plants and warehouses it should operate to meet demand in the most cost-effective manner. a. Create a spreadsheet model for this problem and solve it. b. Which plants and warehouses should Coola ire operate? c. What is the optimal shipping plan?


> Suppose a gift shop in Myrtle Beach has an annual demand for 15,000 units for a souvenir kitchen magnet that it buys for $0.50 per unit. Assume it costs $10 to place an order and the inventory carrying cost is 25% of the item’s unit cost. Use Solver to d

> In the insurance problem discussed in section 8-8 of this chapter, suppose that Thom is confident that he can invest his money to earn a 15% annual rate of return compound quarterly. Assuming a fixed 15% return, suppose he now wants to determine the mini

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> A traveler was recently stranded in her car in a snowy blizzard in Wyoming. Unable to drive any farther, the stranded motorist used her cell phone to dial 911 to call for help. Because the caller was unsure of her exact location, it was impossible for th

> Can the GRG algorithm be used to solve LP problems? If so, will it always identify a corner point of the feasible region as the optimal solution (as does the simplex method)?

> It has been suggested that one way to solve MOLP problems is to create a composite objective function as a linear combination of all the objectives in the problem. For example, in the previous problem, we might weight the first objective by 0.75 and the

> Consider the following MOLP: a. Graph the feasible region for this problem. b. Calculate the value of each objective at each extreme point. c. What feasible points in this problem are Pareto optimal?

> Suppose that the first goal in a GP problem is to make 2X1 1 5X2 approximately equal to 25. a. Using the deviational variables d1 2 and d1 1, what constraint can be used to express this goal? b. If we obtain a solution where X1 5 4 and X2 5 3, what value

> Refer to the MOLP example presented in this chapter. a. What weights could be used to generate the solution at X1 5 2.5, X2 5 4.5? b. What weights could be used to generate the solution at X1 5 4.0, X2 5 3.0? c. What weights could be used to generate t

> In 2005, Hurricane Katrina decimated the gulf coast of the United States between Mobile, Alabama and New Orleans, Louisiana. The aftermath of this storm left the city of New Orleans flooded, both with water and human victims of the storm. Responding to t

> In 2020, a pandemic swept across the globe killing more than 1 million people and infecting over 100 million more. Responding to this medical and economic disaster was a nightmare and presented governmental and medical decision makers with a number of ex

> A job in a machine shop must undergo five operations—A, B, C, D, and E. Each operation can be performed on either of two machines. The following table summarizes the time required for each machine to perform each operation: Formulate a

> Caro-Life is a financial services firm that specializes in selling life, auto, and home insurance to residential consumers in the state of North Carolina. The company is planning to expand and offer its services in South Carolina as well. The company wan

> The Molokai Nut Company (MNC) makes four different products from macadamia nuts grown in the Hawaiian Islands: chocolate-coated whole nuts (Whole), chocolate-coated nut clusters (Cluster), chocolate-coated nut crunch bars (Crunch), and plain roasted nuts

> Refer to the previous question. Suppose that the car dealer wanted to find values for A and B that minimized the maximum absolute deviation between the actual and estimated selling price for each car. What values of A and B achieve this objective? Data

> Read the feature at the end of section 7.1 in this chapter titled “Balancing Objectives for Enlightened Self-Interest.” What objectives were the real estate developers in this article considering in their plans for the Coal Bank Ridge development? Descri

> A car dealer specializing in late model used cars collected the following data on the selling price and mileage of five cars of the same make and model year at an auto auction: Because there seems to be a strong relationship between mileage and price, t

> KPS Communications is planning to bring wireless Internet access to the town of Ames, Iowa. Using a geographic information system, KPS has divided Ames into the following 5 by 5 grid. The values in each block of the grid indicate the expected annual reve

> A major city in the northeast wants to establish a central transportation station from which visitors can ride buses to four historic landmarks. The city is arranged in a grid, or block, structure with equally spaced streets running north and south and e

> A trust officer at Pond Island Bank needs to determine what percentage of the bank’s investable funds to place in each of following investments. The Yield column represents each investment’s annual yield. The Maturity

> A paper recycling company converts newspaper, mixed paper, white office paper, and cardboard into pulp for newsprint, packaging paper, and print-stock quality paper. The recycler is currently trying to determine the best way of filling an order for 500 t

> The marketing manager for Glissen Paint is working on the weekly sales and marketing plan for the firm’s industrial and contractor sales staff. Glissen’s sales representatives contact two types of customers: existing customers and new customers. Each con

> A private foundation has offered $3 million to allocate to cities to help fund programs that aid the homeless. Grant proposals were received from cities A, B, and C seeking assistance of $750,000, $1.2 million, and $2.5 million, respectively. In the gran

> The Chick’n-Pick’n fast-food chain is considering how to expand its operations. Three types of retail outlets are possible: a lunch counter operation designed for office buildings in downtown areas, an eat-in operation

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> Alaskan Railroad is an independent, stand-alone railroad operation not connected to any other rail service in North America. As a result, rail shipments between Alaska and the rest of North America must be shipped by truck for thousands of miles or loade

> The central Florida high school basketball tournament pits teams from four different counties against one another. The average distance (in miles) between tournament locations in each country is given in the following table. Games are officiated by cert

> Is there an optimal solution to a GP or MOLP problem? Explain.

> The Way gate Corporation makes five different types of metal casing for personal computers. The company is in the process of replacing its machinery with three different new models of metal stamping machines: the Robo-I, Robo-II, and Robo-III. The unit

> Virginia Tech operates its own power generating plant. The electricity generated by this plant supplies power to the university and to local businesses and residences in the Blacksburg area. The plant burns three types of coal, which produce steam that d

> The Royal Seas Company runs a three-night cruise to the Caribbean from Port Canaveral. The company wants to run TV ads promoting its cruises to high-income men, high-income women, and retirees. The company has decided to consider airing ads during prime

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> A new Italian restaurant called the Olive Grove is opening in a number of locations in the Memphis area. The marketing manager for these stores has a budget of $150,000 to use in advertising and promotions for the new stores. The manager can run magazine

> The owner of the Weiner-Meyer meat processing plant wants to determine the best blend of meats to use in the next production run of hamburgers. Three sources of meat can be used. The following table summarizes relevant characteristics of these meats: A

> Blue Ridge Hot Tubs manufactures and sells two models of hot tubs: the Aqua-Spa and the Hydro-Lux. Howie Jones, the owner and manager of the company, needs to decide how many of each type of hot tub to produce during his next production cycle. Howie buys

> Snow removal and disposal are important and expensive activities in Montreal and many northern cities. Although snow can be cleared from streets and sidewalks by plowing and shoveling, in prolonged subfreezing temperatures, the resulting banks of accumul

> The Reeves Corporation wants to assign each of their 13 corporate clients to exactly one of its three salespersons. The estimated annual sales potential (in $1,000,000s) for each of the Clients is summarized in the following table: A reeve wants each

> The CFO for the Shelton Corporation has $1.2 million to allocate to the following budget requests from five departments: Because the total budget requests exceed the available $1.2 million, not all the requests can be satisfied. Suppose the CFO consider

> Refer to the MOLP problem presented in this chapter. The solutions shown in Figures 7.9, 7.10 and 7.11 each result in more than the required amount of one or more types of coal Being produced, as summarized in the following table. a. Formulate an LP m

> What is the difference between an objective function and a goal?

> Enrique Brava is responsible for upgrading the wireless network for his employer. He has identified seven possible locations to install new nodes for the network. Each node can provide service to different regions within his employer’s

> Bowden Transport provides dispatching services for independent truckers who specialize in transporting cars purchased online from the seller to the buyer. At present, there are four cars needing to be picked up and delivered and five trucks in the vicini

> In the Culprits Control Devices workload balancing problem presented in the chapter a successor task could be assigned to the same workstation as an immediate predecessor task. Suppose we change that assumption so that a successor task cannot be assigned

> The following questions refer to the Blue Ridge Hot Tubs example discussed in this chapter. a. Suppose Howe Jones has to purchase a single piece of equipment for $1,000 in order to produce any Aqua-Spas or Hydro-Lexes. How will this affect the formulatio

> In the CRT Technologies project selection example in this chapter, the problem indicates that surplus funds in any year are reappro priated and cannot be carried over to the next year. Suppose this is no longer the case and surplus funds may be carried o

> A blood bank wants to determine the least expensive way to transport available blood donations from Pittsburgh and Staunton to hospitals in Charleston, Roanoke, Richmond, Norfolk, and Suffolk. Figure 6.42 shows the possible shipping paths between cities

> Snow removal and disposal are important and expensive activities in Montreal and many northern cities. While snow can be cleared from streets and sidewalks by plowing and shoveling, in prolonged subfreezing temperatures, the resulting banks of accumulate

> The following questions refer to the CRT Technologies project selection example presented in this chapter. Formulate a constraint to implement the conditions described in each of the following statements. a. Out of projects 1, 2, 4, and 6, CRT’s manageme

> The emergency services coordinator for Dade County, Tallies DeCampinas, is interested in locating the county’s two ambulances to maximize the number of residents that can be reached within 4 minutes in emergency situations. The county i

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> An automobile manufacturer is considering mechanical design changes in one of its top-selling cars to reduce the weight of the car by at least 400 pounds to improve its fuel efficiency. Design engineers have identified 10 changes that could be made in th

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> Consider the following optimization problem: a. What is the optimal solution to this LP problem? b. Now suppose that X1 and X2 must be integers. What is the optimal solution? c. What general principle of integer programming is illustrated by this questi

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> GLMH Shipping is a start-up company that plans to offer same-day shipping services between 20 major cities in the United States. In order to provide this service, GLMH needs to build hubs at airports in several of these cities. GLMH wants to select hub l

> Suppose plants 1 and 2 represent different building alternatives for the same site (i.e., only one of these plants can be built). Similarly, suppose plants 4 and 5 represent different building alternatives for another site. a. What additional constraints

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> Bellows Lumber Yard, Inc. stocks standard length, 25-foot boards, which it cuts to custom lengths to fill individual customer orders. An order has just come in for 5,000 7-foot boards, 1,200 9-foot boards, and 300 11-foot boards. The lumber yard manager

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> Tropic sun is a leading grower and distributor of fresh citrus products with three large citrus groves scattered around central Florida in the cities of Mt. Dora, Eustis, and Clermont. Tropic sun currently has 275,000 bushels of citrus at the grove in Mt

> A developer of video game software has seven proposals for new games. Unfortunately, the company cannot develop all the proposals because its budget for new projects is limited to $950,000 and it has only 20 programmers to assign to new projects. The fin

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> Charles Mc Keown is an acquisitions editor for a college textbook publisher. The file Books.xlsx that accompanies this book contains a list of 151 textbooks that Charles has an opportunity to acquire from another publisher. For each title, the file lists

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> A manufacturer of industrial motors has identified ten new prospective customers for its products with estimated each customer’s annual sales potential as follows: The company would like to allocate these ten prospective customers to f

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> As rush coordinator for the Alpha Beta Chi (ABC) sorority, Kim Wong asked each pledge to identify five existing members of ABC whom she would most like to have as a big sister. Kim then asks the pledges to rank order these potential big sisters from 5 do

> Suppose the x’s in the following table indicate locations where fire sprinkler heads need to be installed in an existing building. The s indicates the location of the water source to supply these sprinklers. Assume pipe can only be run

> Draw the network representation of the following network flow problem. What kind of network flow problem is this? MIN: 12X13 16X14 15X15 14X23 13X24 17X25 Subject to: 2 X13 2 X14 2 X15 5 28 2 X23 2 X24 2 X25 5 27 1 X13 1 X23 5 15 1 X14 1 X24 5 15 1

> Draw the network representation of the following network flow problem. MIN: 1 7X12 1 6X14 1 3X23 1 4X24 1 5X32 1 9X43 1 8X52 1 5X54 Subject to: 2X12 2 X14 5 2 5 1 X12 1 X52 1 X32 2 X23 2 X24 5 1 4 2 X32 1 X23 1 X43 5 1 8 1 X14 1 X24 1 X54 2 X43 5 1

> Consider the generalized transportation problem shown in Figure 5.35. How can this problem be transformed into an equivalent transportation problem? Draw the network for the equivalent problem.

> Consider the revised Coal Bank Hollow recycling problem discussed in Section 5-5d of this chapter. We said that it is safest to assume the supply in a generalized network flow problem is capable of meeting the demand (until Solver proves otherwise). a. S

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