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an introduction to management science

Questions and Answers of An Introduction to Management Science

Hard Rock Concrete Supply makes concrete at its plant in Centerville, Virginia, and delivers it to construction sites throughout the metropolitan Washington, DC, area. The following network shows the
The members of the Vistas Club are planning a month long hiking and camping trip through the Blue Ridge Mountains, from north Georgia to Virginia. There are a number of trails through the mountains
A traveler leaving from Beijing and heading to Shenzhen can reduce costs through the various travel options available. The easiest and fastest way would be to take a direct plane, but it will also be
John needs to visit Jim to pick up a book necessary for his homework, but he also promised his friends that he will visit at least one of them before going to Jim’s house. However, he doesn’t
A company that has to deliver a parcel from Tokyo to Hiroshima has different options to reach its destinations as shown in the following diagram. What represents the shortest path?Tokio Kyoto Nagoya
The company in Problem 5 has made a further analysis of its factory network and decided to simplify operations in order to reduce the final cost of its products. The following is the new network:B C
A company has factories in a series of different locations, all indicated by a letter in the following network. It has decided to take distances into consideration to select components for
The plant engineer for the Bitco manufacturing plant is designing an overhead conveyor system that will connect the distribution/inventory center to all areas of the plant. The network of possible
A delivery company in Paris (1) has to make a food delivery to Orleans (9) and has various possibilities to reach its final destination.6 1 Orleans 89 47 35 71 30 85a. What is the shortest path the
Given the following network problem, determine the shortest route from point A to point E BD E 2 2 4
Find the shortest path between A and G in the following network (distance in km):4 8 95 810 1 27 9 6 2 B C AD G
The concession stand at the Blacksburg High School stadium sells slices of pizza during soccer games. Concession stand sales are a primary source of revenue for high school athletic programs, so the
The Impanema Restaurant stocks a red Brazilian table wine it purchases from a wine merchant in a nearby city. The daily demand for the wine at the restaurant is normally distributed, with a mean of
The Fast Service Food Mart stocks frozen pizzas in a refrigerated display case. The average daily demand for the pizzas is normally distributed, with a mean of 8 pizzas and a standard deviation of
The Corner Drug Store fills prescriptions for a popular children’s antibiotic, amoxicillin. The daily demand for amoxicillin is normally distributed, with a mean of 200 ounces and a standard
PM Computers in Problem 46 is considering purchasing monitors from an American manufacturer that would guarantee a lead time of 8 days, instead of the Taiwanese company. Determine the new reorder
PM Computers assembles personal computers from generic components. It purchases its color monitors from a manufacturer in Taiwan; thus, there is a long and uncertain lead time for receiving orders.
The daily demand for Sunlight paint at the Rainbow Paint Store in East Ridge is normally distributed, with a mean of 26 gallons and a standard deviation of 10 gallons. The lead time for receiving an
In Problem 43, the manager of the Uptown Bar and Grill has negotiated with the beer distributor for the lead time to receive orders to be a constant 3 days. What effect does this have on the reorder
The Uptown Bar and Grill serves Rainwater draft beer to its customers. The daily demand for beer is normally distributed, with an average of 18 gallons and a standard deviation of 4 gallons.The lead
The Atlantic Paper Company produces paper from wood pulp ordered from a lumber products firm. The paper company’s daily demand for wood pulp is a constant 8,000 pounds. Lead time is normally
In Problem 40, what level of service would a safety stock of 2,000 yards provide? LO.1
The amount of denim used daily by the Western Jeans Company in its manufacturing process to make jeans is normally distributed, with an average of 3,000 yards of denim and a standard deviation of 600
Determine the optimal order quantity and total annual inventory cost for cups in Problem 36 if the carrying cost is 5% of the price of a box of cups. LO.1
Tracy McCoy is the office administrator for the department of management science at Tech. The faculty uses a lot of printer paper, and although Tracy is constantly reordering, paper frequently runs
Community Hospital orders latex sanitary gloves from a hospital supply firm. The hospital expects to use 40,000 pairs of gloves per year. The cost to order and to have the gloves delivered is $180.
The 23,000-seat City Coliseum houses the local professional ice hockey, basketball, indoor soccer, and arena football teams, as well as various trade shows, wrestling and boxing matches, tractor
Determine the optimal order quantity and total annual inventory cost for boxes of stationery in Problem 34 if the carrying cost is 20% of the price of a box of stationery. LO.1
The office manager for the Gotham Life Insurance Company orders letterhead stationery from an office products firm in boxes of 500 sheets. The company uses 6,500 boxes per year. Annual carrying costs
Determine the optimal order quantity of sweatshirts and total annual cost in Problem 32 if the carrying cost is a constant $8 per sweatshirt per year. LO.1
The bookstore at State University purchases from a vendor sweatshirts emblazoned with the school name and logo. The vendor sells the sweatshirts to the store for $38 apiece. The cost to the bookstore
The Fifth Quarter Bar buys Old World draft beer by the barrel from a local distributor. The bar has an annual demand of 900 barrels, which it purchases at a price of $205 per barrel. The annual
The I-75 Carpet Discount Store has an annual demand of 10,000 yards of Super Shag carpet.The annual carrying cost for a yard of this carpet is $0.75, and the ordering cost is $150. The carpet
The Uptown Kiln is an importer of ceramics from overseas. It has arranged to purchase a particular type of ceramic pottery from a Korean artisan. The artisan makes the pottery in 120-unit batches and
The Spruce Creek Vegetable Farm produces organically grown greenhouse tomatoes that are sold to area grocery stores. The annual demand for Spruce Creek’s tomatoes is 270,000 pounds. The farm is
The Summer Outdoor Furniture Company produces wooden lawn chairs. The annual demand from its store customers is 17,400 chairs per year. The transport and handling costs are $2,600 each time a
For homework Problem 32 in Chapter 15, the Tech power plant wants to keep a 7- to 10-day supply of coal on hand at all times. It takes 3 days to transport coal by railroad from the coalfields, and
Suntrek is a global manufacturer and supplier of denim jeans to apparel retailers around the world. It purchases baled cotton from its cotton producers in Arkansas, Texas, Georgia, and Mississippi
Eurotronics is a European manufacturer of electronic components. During the course of a year, it requires container cargo space on ships leaving Hamburg bound for the United States, Mexico, South
The Union Street Microbrewery makes 1220 Union beer, which it bottles and sells in its adjoining restaurant and by the case. It costs $1,700 to set up, brew, and bottle a batch of the beer. The
The A-to-Z Office Supply Company is open from 8:00 A.M. to 6:00 P.M., and it receives 200 calls per day for delivery orders. It costs A-to-Z $20 to send out its trucks to make deliveries. The company
The University Bookstore at Tech stocks the required textbook for Management Science 2405.The demand for this text is 1,200 copies per year. The cost of placing an order is $350, and the annual
Videoworld is a discount store that sells color televisions. The annual demand for color television sets is 400. The cost per order from the manufacturer is $650. The carrying cost is $45 per set
The Laurel Creek Lawn Shop sells Fastgro Fertilizer. The annual demand for the fertilizer is 270,000 pounds. The cost to order the fertilizer from the Fastgro Company is $105 per order. The annual
The Road King Tire store sells a brand of tires called the Roadrunner. The annual demand from the store’s customers for Roadrunner tires is 3,700. The cost to order tires from the tire manufacturer
The Pacific Lumber Company and Mill processes 10,000 logs annually, operating 250 days per year. Immediately upon receiving an order, the logging company’s supplier begins delivery to the lumber
Craftwood Furniture Company is a U.S.-based furniture manufacturer that offshored all of its actual manufacturing operations to China about a decade ago. It set up a distribution center in Hong Kong,
In Problem 34 in Chapter 15, the supplier receives shipments of partially completed laptops from its manufacturing facility in Southeast Asia, which has maximum production rate of 200 units per day.
In Problem 2 in Chapter 15, Carpet City orders Soft Shag carpet from its own mill. Using the 3-month moving average forecast of demand for month 9 as the monthly forecasts for all of next year, a
In Problem 1 in Chapter 15, the Saki motorcycle dealer in Minneapolis–St. Paul orders the Saki Super TXII motorcycle it sells from the manufacturer in Japan. Using the 3-month moving average
The purchasing manager for the Atlantic Steel Company must determine a policy for ordering coal to operate 12 converters. Each converter requires exactly 5 tons of coal per day to operate, and the
The Rainwater Brewery produces Rainwater Light Beer, which it stores in barrels in its warehouse and supplies to its distributors on demand. The demand for Rainwater is 1,500 barrels of beer per day
A manufacturing firm uses a one-week periodic review system. The firm allows at most two stock-outs per year. The lead time to replenish the stock is three days. The demand during the review period
A corner drug store stocks Betadine, an antiseptic, available over the counter. The average demand for the antiseptic is 20 tubes per day with a standard deviation of three tubes. A local
Computer Wiz is a popular electronic store in Orlando, Florida. The store orders computers from Taiwan. It takes an average lead time of 18 days to receive orders from Taiwan once the order is
An online computer sales company in Delhi receives computers from Taiwan. The company sells at a rate of 40 computers a day. Due to multiple modes of transportation and customs procedures, it takes
Patel Mobiles is a popular electronic store in Mumbai. The store orders mobile phones from China. It takes 15 days to receive orders from China once the order is placed. The average daily demand for
A large university buys printer cartridges from a printer dealer, who charges the cartridges based on the number ordered. The university uses 20,000 cartridges per year. The cost of placing an order
A toy shop produces battery-operated airplanes. The demand for these airplanes is constant at the rate of 500 airplanes per year. The cost of an airplane is $50 and the ordering cost is $10 per
A company extracts oil from canola seeds. Demand for canola oil is constant throughout the year at the rate of 72,000 cans. The holding cost is $0.50 per can per year. The cost involved in the
A fast food outlet orders vegetables at the beginning of a week to meet its demand for that week, which is 300 kg. The ordering cost per order is $25. It costs the outlet $.05 per kg per day to keep
A hypermarket store sells a popular soft drink that has a constant annual demand of 24,000 cases.While placing an order, the hypermarket incurs a cost of $25 per order and receives its ordered cases
In Chapter 8, Figure 8.6 shows a simplified project network for building a house, as follows:Lay foundation Design house and obtain financing Order and receive materials Select paint Select carpet
The Management Science Association (MSA) has arranged to hold its annual conference at the Riverside Hotel in Orlando next year. Based on historical data, the MSA believes the number of rooms it will
In Chapter 16, the formula for the optimal order quantity of an item, Q, given its demand, D, ordering cost, Co, and the cost of holding, or carrying, an item in inventory, Cc, is as follows:Q = A
Erin Jones has $100,000 and, to diversify, she wants to invest equal amounts of $50,000 each in two mutual funds selected from a list of four possible mutual funds. She wants to invest for a 3-year
In Problem 23, assume that production capacity at Burlingham Mills for the Troy Clothing Company contract is normally distributed, with a mean of 320 yards per month and a standard deviation of 120
In Problem 21, assume that the students at Randolph College have redefined the probability distributions of their dates at Salem College as follows: Physical attractiveness is uniformly distributed
In Problem 20, assume that the sales volume for Western Outfitters Store is normally distributed, with a mean of 600 pairs of jeans and a standard deviation of 200; the price is uniformly
Tracy McCoy is shopping for a new car. She has identified a particular sports utility vehicle she likes but has heard that it has high maintenance costs. Tracy has decided to develop a simulation
For the Bigelow Manufacturing example in this chapter, re-create the simulation for the improved maintenance program shown in Table 14.11 and Exhibit 14.8 using Crystal Ball. For the improved program
For the Bigelow Manufacturing example in this chapter, re-create the simulation shown in Table 14.10 and Exhibit 14.7 using Crystal Ball. Assume that the repair time is normally distributed with a
Perform the Crystal Ball simulation in Problem 25, assuming that demand is normally distributed with a mean of 2.5 and a standard deviation of 1.2 laptops. LO.1
For the ComputerWorld example in this chapter, recreate the simulation shown in Exhibit 14.2 using Crystal Ball. Assume that demand is normally distributed with a mean of 1.5 laptops and a standard
A baseball game consists of plays that can be described as follows:Play Description No advance An out where no runners can advance. This includes strikeouts, pop-ups, short flies, and the
Burlingham Mills produces denim cloth that it sells to jeans manufacturers. It is negotiating a contract with Troy Clothing Company to provide denim cloth on a weekly basis. Burlingham has
In Problem 21, discuss how you might assess the accuracy of the average rating for Salem College students based on only 20 simulated dates. LO.1
Randolph College and Salem College are within 20 miles of each other, and the students at each college frequently date each other. The students at Randolph College are debating how good their dates
The Western Outfitters Store specializes in denim jeans. The variable cost of the jeans varies according to several factors, including the cost of the jeans from the distributor, labor costs,
The emergency room of the community hospital in Farmburg has one receptionist, one doctor, and one nurse. The emergency room opens at time zero, and patients begin to arrive some time later. Patients
Compcomm, Inc., is an international communications and information technology company that has seen the value of its common stock appreciate substantially in recent years. A stock analyst would like
A robbery has just been committed at the Corner Market in the downtown area of the city. The market owner was able to activate the alarm, and the robber fled on foot. Police officers arrived a few
A CPM/PERT project network has probabilistic activity times (x) as shown on each branch of the network; for example, activity 1–3 has a .40 probability that it will be completed in 6 weeks and a
The Paymore Rental Car Agency rents cars in a small town. It wants to determine how many rental cars it should maintain. Based on market projections and historical data, the manager has determined
Loebuck Grocery orders milk from a dairy on a weekly basis. The manager of the store has developed the following probability distribution for demand per week (in cases):Demand (cases) Probability 15
A city is served by two newspapers—the Tribune and the Daily News. Each Sunday readers purchase one of the newspapers at a stand. The following matrix contains the probabilities of a customer’s
Each semester, the students in the college of business at State University must have their course schedules approved by the college adviser. The students line up in the hallway outside the
State University is playing Tech in their annual football game on Saturday. A sportswriter has scouted each team all season and accumulated the following data: State runs four basic plays—a sweep,
The Saki automobile dealer in the Minneapolis–St. Paul area orders the Saki sport compact, which gets 50 miles per gallon of gasoline, from the manufacturer in Japan. However, the dealer never
The time between arrivals of oil tankers at a loading dock at Prudhoe Bay is given by the following probability distribution:Time Between Ship Arrivals (days) Probability 1 .05 2 .10 3 .20 4 .30 5
First American Bank is trying to determine whether it should install one or two drive-through teller windows. The following probability distributions for arrival intervals and service times have been
Sound Warehouse in Georgetown sells CD players (with speakers), which it orders from Fuji Electronics in Japan. Because of shipping and handling costs, each order must be for five CD players. Because
Maria runs a bakery shop specializing in birthday cakes. Based on past sales she constructed the following demand distribution.Demand(cakes/day) Probability 5 .05 10 .20 15 .40 20 .20 25 .15 She
A power plant supplies to local residents. To improve its service, the plant installed a high power transformer that comes with free maintenance from the supplier, but the costs of fixing the machine
Solve Problem 19 at the end of Chapter 12 by using simulation. LO.1
A mobile phone manufacturer plans to launch a new product. It buys parts from suppliers and assembles the product at its manufacturing center. The manufacturer has to incur a fixed cost of$100,000.
Ajay Gupta, manager of a leading commercial bank, plans to improve customer service at his branch. He plans to reduce the average waiting time to below one minute as well as reduce the average queue
The Dubai Shopping Festival is celebrated every year for a month to improve sales. An electronic store wants to stock computers of a specific type for the forthcoming Festival. Based on the previous
The inland port at Front Royal, Virginia, is a transportation hub that primarily transfers shipping containers from trucks coming from eastern seaports to rail cars for shipment to inland
Customers arrive to check in at the exclusive and expensive Regency Hotel’s lobby at a rate of 40 per hour (Poisson distributed). The hotel normally has three clerks available at the desk to check

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