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Solve the linear programming model formulated in Problem 19 for the Bradley family farm graphically.a. How many acres of farmland will not be cultivated at the optimal solution? Do the Bradleys use
Solve the linear programming model formulated in Problem 19 for the Bradley farm by using the computer.a. The Bradleys have an opportunity to lease some extra land from a neighbor. The neighbor is
The manager of a Burger Doodle franchise wants to determine how many sausage biscuits and ham biscuits to prepare each morning for breakfast customers. The two types of biscuits require the following
Solve the linear programming model formulated in Problem 22 for the Burger Doodle restaurant graphically.a. How much extra sausage and ham is left over at the optimal solution point? Is there any
Solve the linear programming model developed in Problem 22 for the Burger Doodle restaurant by using the computer.a. Identify and explain the shadow prices for each of the resource constraints.b.
Rucklehouse Public Relations has been contracted to do a survey following an election primary in New Hampshire. The firm must assign interviewers to conduct the survey by telephone or in person. One
Solve the linear programming model formulated in Problem 25 for Rucklehouse Public Relations graphically.a. Determine the sensitivity ranges for the daily cost of a telephone interviewer and the
Solve the linear programming model formulated in Problem 25 for Rucklehouse Public Relations by using the computer.a. If the firm could reduce the minimum interview requirement for either telephone
The Bluegrass Distillery produces custom-blended whiskey. A particular blend consists of rye and bourbon whiskey. The company has received an order for a minimum of 400 gallons of the custom blend.
Solve the linear programming model formulated in Problem 28 for the Bluegrass Distillery graphically.a. Indicate the slack and surplus available at the optimal solution point and explain their
Solve the linear programming model formulated in Problem 28 for the Bluegrass Distillery by using the computer.a. Identify the sensitivity ranges for the objective function coefficients and explain
Prissy Pauline’s Barbecue Restaurant in Greensboro makes two primary food items fresh each morning: pulled pork barbecue and beef brisket barbecue. These two items are sold as part of different
Solve the linear programming model formulated in Problem 31 for Prissy Pauline’s Barbecue Restaurant using the computer.a. If the restaurant could get additional pork or beef from the meat
Xara Stores in the United States stocks a particular type of designer denim jeans that is manufactured in China and Brazil and imported to the Xara distribution center in the United States. It orders
Solve the linear programming model formulated in Problem 33 for Xara Stores graphically and by using the computer.a. If the Chinese supplier were able to reduce its percentage of defective pairs of
Alexis Harrington received an inheritance of $95,000, and she is considering two speculative investments—the purchase of land and the purchase of cattle. Each investment would be for 1 year. Under
Solve the linear programming model formulated in Problem 35 for Alexis Harrington graphically.a. How much would the return for cattle have to increase in order for Alexis to invest only in cattle?b.
Solve the linear programming model formulated in Problem 35 for Alexis Harrington by using the computer.a. If Alexis decided to invest some of her own savings along with the money from her
Transform the following linear programming model into standard form and solve by using the computer:Maximize Z = 140x1 + 205x2 + 190x3Subject to10x1 + 15x2 + 8x3 ≤ 610x1 / x2 ≤ 3x1 ≥ 0.4(x1 +
Chemco Corporation produces a chemical mixture for a specific customer in 1,000-pound batches. The mixture contains three ingredients—zinc, mercury, and potassium. The mixture must conform to
The following linear programming model formulation is used for the production of four different products, with two different manufacturing processes and two different material requirements:a. Solve
Island Publishing Company publishes two types of magazines on a monthly basis: a restaurant and entertainment guide and a real estate guide. The company distributes the magazines free to businesses,
Solve the linear programming model formulation in Problem 41 for Island Publishing Company graphically.a. Determine the sensitivity range for the advertising revenue generated by the real estate
Solve the linear programming model formulated in Problem 41 for Island Publishing Company by using the computer.a. How much would it be worth to Island Publishing Company to obtain enough additional
Mega-Mart, a discount store chain, is to build a new store in Rock Springs. The parcel of land the company has purchased is large enough to accommodate a store with 140,000 square feet of floor
a. In Problem 44, Mega-Mart is considering purchasing a parcel of land adjacent to the current site on which it plans to build its store. The cost of the parcel is $190,000, and it would enable
The Food Max grocery store sells three brands of milk in half-gallon cartons-its own brand, a local dairy brand, and a national brand. The profit from its own brand is $0.97 per carton, the profit
a. If Food Max in Problem 46 could increase its shelf space for half-gallon cartons of milk, how much would profit increase per carton?b. If Food Max could get the local dairy to increase the amount
John Hoke owns Hoke’s Spokes, a bicycle shop. Most of John’s bicycle sales are customer orders; however, he also stocks bicycles for walk-in customers. He stocks three types of
Solve the linear programming model formulated in Problem 48 for Hoke’s Spokes by using the computer.a. Should John Hoke try to increase his budget for purchasing bikes, increase space to stock
Metro Food Services Company delivers fresh sandwiches each morning to vending machines throughout the city. The company makes three kinds of sandwiches—ham and cheese, bologna, and chicken salad. A
Solve the linear programming model formulated in Problem 50 for Metro Food Services Company by using the computer.a. If Metro Food Services could hire another worker and increase its available
Mountain Laurel Vineyards produces three kinds of wine—Mountain Blanc, Mountain Red, and Mountain Blush. The company has 17 tons of grapes available to produce wine this season. A cask of Blanc
Solve the linear programming model formulated in Problem 52 for Mountain Laurel Vineyards by using the computer.a. If the vineyard determined that the profit from Red was $7,600 instead of $8,200,
Exeter Mines produces iron ore at four different mines; however, the ores extracted at each mine are different in their iron content. Mine 1 produces magnetite ore, which has a 70% iron content; mine
Solve the linear programming model formulated in Problem 54 for Exeter Mines by using the computer.a. Do any of the mines have slack capacity? If yes, which one(s)?b. If Exeter Mines could increase
Given the following linear programming model:transform the model into standard form and solve by using thecomputer.
Tracy McCoy has committed to the local PTA to make some items for a bake sale on Saturday. She has decided to make some combination of chocolate cakes, loaves of white bread, custard pies, and sugar
Solve the linear programming model formulated in Problem 57 for Tracy McCoy.a. Are any of the ingredients left over?b. If Tracy could get more of any ingredient, which should it be? Why?c. If Tracy
The Wisham family lives on a farm in South Georgia on which it produces a variety of crops and livestock, including pecans. It has 5 acres of pecan trees that yield approximately 1,000 pounds of
Solve the linear programming model formulated in Problem 59 for the Wisham family farm using the computer.a. Are there any extra (slack) resources available?b. If the Wisham family could obtain
During the winter WeeMow Lawn Service contracts with customers for cutting lawns starting in the spring. WeeMow provides service to residential and commercial customers. The service has identified 50
Gilbert Moss and Angela Pasaic spent several summers during their college years working at archaeological sites in the Southwest. While at those digs, they learned how to make ceramic tiles from
In "The Possibility" Restaurant case problem in Chapter 2, Angela Fox and Zooey Caulfield opened a French restaurant called "The Possibility." Initially, Angela and Zooey could not offer a full,
Julia Robertson is a senior at Tech, and she's investigating different ways to finance her final year at school. She is considering leasing a food booth outside the Tech stadium at home football
In the product mix example in this chapter, Quick-Screen is considering adding some extra operators who would reduce processing times for each of the four clothing items by 10%. This would also
In the diet example in this chapter, what would be the effect on the optimal solution of increasing the minimum calorie requirement for the breakfast to 500 calories? to 600 calories? Increase the
In the investment example in this chapter, how would the solution be affected if the requirement that the entire $70,000 be invested was relaxed such that it is the maximum amount available for
For the marketing example in this chapter, if the budget is increased by $20,000, how much will audience exposures be increased?If Biggs Department Store wanted the same total number of people
For the transportation example in this chapter, suppose that television sets not shipped were to incur storage costs of $9 at Cincinnati, $6 at Atlanta, and $7 at Pittsburgh. How would these storage
For the blend example in this chapter, if the requirement that “at least 3,000 barrels of each grade of motor oil” was changed to exactly 3,000 barrels of each grade, how would this affect the
On their farm, the Friendly family grows apples that they harvest each fall and make into three products—apple butter, applesauce, and apple jelly. They sell these three items at several local
a. If the Friendlys in Problem 7 were to use leftover apples to feed livestock, at an estimated cost savings worth $0.08 per apple in revenue, how would this affect the model and solution?b. Instead
A hospital dietitian prepares breakfast menus every morning for the hospital patients. Part of the dietitian€™s responsibility is to make sure that minimum daily requirements for vitamins A
Lakeside Boatworks is planning to manufacture three types of molded fiberglass recreational boats€”a fishing (bass) boat, a ski boat, and a small speedboat. The estimated selling price and
The Pyrotec Company produces three electrical products€”clocks, radios, and toasters. These products have the following resource requirements:The manufacturer has a daily production budget
Betty Malloy, owner of the Eagle Tavern in Pittsburgh, is preparing for Super Bowl Sunday, and she must determine how much beer to stock. Betty stocks three brands of beer—Yodel, Shotz, and
The Kalo Fertilizer Company produces two brands of lawn fertilizer€”Super Two and Green Grow€”at plants in Fresno, California, and Dearborn, Michigan. The plant at Fresno has
Grafton Metalworks Company produces metal alloys from six different ores it mines. The company has an order from a customer to produce an alloy that contains four metals according to the following
The Roadnet Transport Company expanded its shipping capacity by purchasing 90 trailer trucks from a bankrupt competitor. The company subsequently located 30 of the purchased trucks at each of its
The Hickory Cabinet and Furniture Company produces sofas, tables, and chairs at its plant in Greensboro, North Carolina. The plant uses three main resources to make furniture€”wood,
Lawns Unlimited is a lawn care and maintenance company. One of its services is to seed new lawns as well as bare or damaged areas in established lawns. The company uses three basic grass seed mixes
Alexandra Bergson has subdivided her 2,000-acre farm into three plots and has contracted with three local farm families to operate the plots. She has instructed each sharecropper to plant three
As a result of a recently passed bill, a congressman’s district has been allocated $4 million for programs and projects. It is up to the congressman to decide how to distribute the money. The
Anna Broderick is the dietitian for the State University football team, and she is attempting to determine a nutritious lunch menu for the team. She has set the following nutritional guidelines for
The Midland Tool Shop has four heavy presses it uses to stamp out prefabricated metal covers and housings for electronic consumer products. All four presses operate differently and are of different
The Cabin Creek Coal (CCC) Company operates three mines in Kentucky and West Virginia, and it supplies coal to four utility power plants along the East Coast. The cost of shipping coal from each mine
Ampco is a manufacturing company that has a contract to supply a customer with parts from April through September. However, Ampco does not have enough storage space to store the parts during this
Brooks City has three consolidated high schools, each with a capacity of 1,200 students. The school board has partitioned the city into five busing districtsâ€”north, south, east, west, and
a. In Problem 24 the school board decided that because all students in the north and east districts must be bused, then at least 50% of the students who live in the south, west, and central districts
The Southfork Feed Company makes a feed mix from four ingredients—oats, corn, soybeans, and a vitamin supplement. The company has 300 pounds of oats, 400 pounds of corn, 200 pounds of soybeans, and
The United Charities annual fund-raising drive is scheduled to take place next week. Donations are collected during the day and night, by telephone, and through personal contact. The average donation
Ronald Thump is interested in expanding his firm. After careful consideration, he has determined three areas in which he might invest additional funds: (1) product research and development, (2)
Iggy Olweski, a professional football player, is retiring, and he is thinking about going into the insurance business. He plans to sell three types of policies—homeowner’s insurance, auto
A publishing house publishes three weekly magazines€”Daily Life, Agriculture Today, and Surf€™s Up. Publication of one issue of each of the magazines requires the following
The manager of a department store in Seattle is attempting to decide on the types and amounts of advertising the store should use. He has invited representatives from the local radio station,
The Mill Mountain Coffee Shop blends coffee on the premises for its customers. It sells three basic blends in 1-pound bags, Special, Mountain Dark, and Mill Regular. It uses four different types of
Toyz is a large discount toy store in Valley Wood Mall. The store typically has slow sales in the summer months that increase dramatically and rise to a peak at Christmas. During the summer and fall,
The Skimmer Boat Company manufactures the Water Skimmer bass fishing boat. The company purchases the engines it installs in its boats from the Mar-gine Company, which specializes in marine engines.
The Donnor meat processing firm produces wieners from four ingredients: chicken, beef, pork, and a cereal additive. The firm produces three types of wieners: regular, beef, and all-meat. The company
Joe Henderson runs a small metal parts shop. The shop contains three machines-a drill press, a lathe, and a grinder. Joe has three operators, each certified to work on all three machines. However,
Green Valley Mills produces carpet at plants in St. Louis and Richmond. The plants ship the carpet to two outlets in Chicago and Atlanta. The cost per ton of shipping carpet from each of the two
Dr. Maureen Becker, the head administrator at Jefferson County Regional Hospital, must determine a schedule for nurses to make sure there are enough of them on duty throughout the day. During the
A manufacturer of bathroom fixtures produces fiberglass bathtubs in an assembly operation that consists of three processes—molding, smoothing, and painting. The number of units that can undergo
The admissions office at State University wants to develop a planning model for next year€™s entering freshman class. The university has 4,500 available openings for freshmen. Tuition is
A manufacturing firm located in Chicago ships its product by railroad to Detroit. Several different routes are available, as shown in the following diagram, referred to as a network:Each circle in
A refinery blends four petroleum components into three grades of gasoline€”regular, premium, and diesel. The maximum quantities available of each component and the cost per barrel are as
Melissa Beadle is a student at Tech, and she wants to decide how many hours each day to allocate to the following activities: class; studying; leisure and fun stuff; personal activities such as
Tech, with a student population of 30,000, is located in a small college town in Virginia. Direct Cast Cable TV has a small service staff that is sufficient to handle installations and TV hookups for
The Cash and Carry Building Supply Company has received the following order for boards in three lengths:Length ... Order (quantity)7 ft. ..... 7009 ft. .... 1,20010 ft. ..... 300The company has
An investment firm has $1 million to invest in stocks, bonds, certificates of deposit, and real estate. The firm wishes to determine the mix of investments that will maximize the cash value at the
The Jones, Jones, Smith, and Rodman commodities trading firm knows the prices at which it will be able to buy and sell a certain commodity during the next 4 months. The buying price and selling price
The production manager of Videotechnics Company is attempting to determine the upcoming 5-month production schedule for video recorders. Past production records indicate that 2,000 recorders can be
The manager of the Ewing and Barnes Department Store has four employees available to assign to three departments in the store€”lamps, sporting goods, and linens. The manager wants each of
Managers at the Transcontinent Shipping and Supply Company want to know the maximum tonnage of goods they can transport from city A to city F. The firm can contract for railroad cars on different
The law firm of Smith, Smith, Smith, and Jones is recruiting at law schools for new lawyers for the coming year. The firm has developed the following estimate of the number of hours of casework it
In Problem 53, the optimal solution results in a fractional (i.e., non-integer) number of lawyers being hired. Explain how you would go about logically determining a new solution with a whole
The Goliath Tool and Machine Shop produces a single product that consists of three subcomponents that are assembled to form the product. The three components are manufactured in an operation that
A ship has two cargo holds, one fore and one aft. The fore cargo hold has a weight capacity of 70,000 pounds and a volume capacity of 30,000 cubic feet. The aft hold has a weight capacity of 90,000
Eyewitness News is shown on channel 5 Monday through Friday evenings from 5:00 P.M. to 6:00 P.M. During the hour-long broadcast, 18 minutes are allocated to commercials. The remaining 42 minutes of

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