A rental car company has an imbalance of cars at seven of its locations. The following network shows the locations of concern (the nodes) and the cost to move a car between locations. A positive...
Although Ken Brown (discussed in Problem 3-17) is the principal owner of Brown Oil, his brother Bob is credited with making the company a financial success. Bob is vice president of finance. Bob...
The northsouth highway system passing through Albany, New York, can accommodate the capacities shown. Can the highway system accommodate a northsouth flow of 10,000 vehicles perhour? Flow capacity:...
Baseball umpiring crews are currently in four cities where three-game series are beginning. When these are finished, the crews are needed to work games in four different cities. The distances (miles)...
Ed Butler is the production manager for the Bilco Corporation, which produces three types of spare parts for automobiles. The manufacture of each part requires processing on each of two machines,...
For the year 2010, 33% of taxpayers with adjusted gross incomes between $30,000 and $60,000 itemized deductions on their federal income tax return (The Wall Street Journal, October 25, 2012). The...
John Lindsay sells CDs that contain 25 software packages that perform a variety of financial functions, including net present value , internal rate of return, and other financial programs typically...
The Sweet Smell Fertilizer Company markets bags of manure labeled "not less than 60 pounds dry weight." The packaged manure is a combination of compost and sewage wastes. To provide good-quality...
Peter Martin is going to help his brother who wants to open a food store. Peter initially believes that there is a 50-50 chance that his brother's food store would be a success. Peter is considering...
Harrington Health Food stocks 5 loaves of Neutro-Bread. The probability distribution for the sales of Neutro-Bread is listed in the following table. How many loaves will Harrington sell on average?...
The registrar of a university with a population of N = 4,000 full- time students is asked by the president to conduct a survey to measure satisfaction with the quality of life on campus. The...
Westside Auto purchases a component used in the manufacture of automobile generators directly from the supplier. Westsides generator production operation, which is operated at a constant rate, will...
Barbara Bright is the purchasing agent for West Valve Company. West Valve sells industrial valves and fluid control devices. One of the most popular valves is the Western, which has an annual demand...
Two Indiana state senate candidates must decide which city to visit the day before the November election. The same four citiesIndianapolis, Evansville, Fort Wayne, and South Bendare available for...
Mike Dreskin manages a large Los Angeles movie theater complex called Cinema I, II, III, and IV. Each of the four auditoriums plays a different film; the schedule is set so that starting times are...
Measurements of scientific systems are always subject to variation, some more than others. There are many structures for measurement error and statisticians spend a great deal of time modeling these...
A study was made by a retail merchant to determine the relation between weekly advertising expenditures and sales. The following data were recorded:(a) Plot a scatter diagram.(b) Find the equation of...
The diameter of a brand of tennis balls is approximately normally distributed, with a mean of 2.63 inches and a standard deviation of 0.03 inch. If you select a random sample of nine tennis balls, a....
Marc Smith, vice president for operations of HHN, Inc., a manufacturer of cabinets for telephone switches, is constrained from meeting the 5-year forecast by limited capacity at the existing three...
Keith Shoe Stores carries a basic black dress shoe for men that sells at an approximate constant rate of 500 pairs of shoes every three months. Keiths current buying policy is to order 500 pairs each...
Fred Ridgeway has been given the responsibility of managing a training and development program. He knows the earliest start time, the latest start time, and the total costs for each activity. This...
The mean cost of domestic airfares in the United States rose to an all-time high of $385 per ticket (Bureau of Transportation Statistics website, November 2, 2012). Airfares were based on the total...
Adirondack Savings Bank (ASB) has $1 million in new funds that must be allocated to home loans, personal loans, and automobile loans. The annual rates of return for the three types of loans are 7%...
Develop your own worksheet for the Butler inventory simulation model shown in Figure. Suppose that management prefers not to charge for loss of goodwill. Run the Butler inventory simulation model...
Consider the following network representation of a transportation problem: The supplies, demands, and transportation costs per unit are shown on the network. a. Develop a linear programming model for...
A small-business Web site contains 100 pages and 60%, 30%, and 10% of the pages contain low, moderate, and high graphic content, respectively. A sample of four pages is selected without replacement,...
Bill Binder's business nearly went under when Colorado almost passed the bottle bill. Binder's Beverage produced soft drinks for many of the large grocery stores in the area. After the bottle bill...
Bowman Builders manufactures steel storage sheds for commercial use. Joe Bowman, president of Bowman Builders, is contemplating producing sheds for home use. The activities necessary to build an...
Recently, a random sample of 25-34 year olds was asked, "How much do you currently have in savings, not including retirement savings?" The following data represent the responses to the survey....
The city of New Berlin is considering making several of its streets one-way. What is the maximum number of cars per hour that can travel from east to west? The network is shown inFigure. 2 5 0 0 2 2...
Past records indicate that the probability of online retail orders that turn out to be fraudulent is 0.08. Suppose that, on a given day, 20 online retail orders are placed. Assume that the number of...
Return to the credit card scenario of Exercise 12 (Section 2.2), and let C be the event that the selected student has an American Express card. In addition to P(A) = .6, P(B) = .4, and P(A B) = .3,...
Innis Investments manages funds for a number of companies and wealthy clients. The investment strategy is tailored to each clients needs. For a new client, Innis has been authorized to invest up to...
The American Association of Individual Investors (AAII) conducts a weekly survey of its members to measure the percent who are bullish, bearish, and neutral on the stock market for the next six...
Sampling four pieces of precision-cut wire (to be used in computer assembly) every hour for the past 24 hours has produced the following results: Develop appropriate control limits and determine...
Listed below are annual data for various years. The data are weights (metric tons) of lemons imported from Mexico and U.S. car crash fatality rates per 100,000 population. Is there sufficient...
Define X as the number of under filled bottles from a filling operation in a carton of 24 bottles. Sixty cartons are inspected and the following observations on X are recorded: Values 0 1 2 3...
Two different plasma etchers in a semiconductor factory have the same mean etch rate . However, machine 1 is newer than machine 2 and consequently has smaller variability in etch rate. We know that...
Disk drives have been getting larger. Their capacity is now often given in terabytes (TB) where 1 TB = 1000 gigabytes, or about a trillion bytes. A survey of prices for external disk drives found the...
A sample of 25 undergraduates reported the following dollar amounts of entertainment expenses last year: a. Find the mean, median, and mode of this information. b. What are the range and standard...
The Flamingo Grill is an upscale restaurant located in St. Petersburg, Florida. To help plan an advertising campaign for the coming season, Flamingos management team hired the advertising firm of...
The Hardware Warehouse is evaluating the safety stock policy for all its items, as identified by the SKU code. For SKU M4389, the company always orders 80 units each time an order is placed. The...
The concentration of pollutant bacteria c in a lake decreases according to c = 75 e 1.5t + 20 e 0.075t Determine the time required for the bacteria concentration to be reduced to 15 using (a) The...
At the time she was hired as a server at the Grumney Family Restaurant, Beth Brigden was told, You can average $80 a day in tips. Assume the population of daily tips is normally distributed with a...
Refer to the leasing decision facing Beverly Mills in Problem 3-29. Develop the opportunity loss table for this situation. Which option would be chosen based on the minimax regret criterion? Which...
The XO Group Inc. conducted a survey of 13,000 brides and grooms married in the United States and found that the average cost of a wedding is $29,858 (XO Group website, January 5, 2015). Assume that...
Using the data in Problem 4-10, test to see if there is a statistically significant relationship between sales and YouTube views at the 0.05 level of significance. Use the formulas in this chapter...
For the three probability distributions shown, rank each distribution from lowest to highest in terms of the sample size required for the distribution of the sample mean to be approximately normally...
The Energetic Company needs to make plans for the energy systems for a new building. The energy needs in the building fall into three categories: (1) electricity, (2) heating water, and (3) heating...
Round Tree Manor is a hotel that provides two types of rooms with three rental classes: Super Saver, Deluxe, and Business. The profit per night for each type of room and rental class is as follows:...
Prepare Peg Joness response to Stephen Ruth. In January 2012, Northern Airlines merged with Southeast Air-lines to create the fourth largest U. S. carrier. The new NorthSouth Airline inherited both...
QSR magazine reports on the largest quick serve and fast casual restaurants in the United States. Do the various market segments (burger, chicken, sandwich, and pizza) differ in their mean sales per...
The Camera Shop sells two popular models of digital cameras. The sales of these products are not independent; if the price of one increases, the sales of the other increases. In economics, these two...
Automobiles arrive at the drive-through window at a post office at the rate of 4 every 10 minutes. The average service time is 2 minutes. The Poisson distribution is appropriate for the arrival rate...
The Weinberger Electronics Corporation manufactures four highly technical products that it supplies to aerospace firms that hold NASA contracts. Each of the products must pass through the following...
Grey Construction would like to determine the least expensive way of connecting houses it is building with cable TV. It has identified 11 possible branches or routes that could be used to connect the...
A company studied the number of lost-time accidents occurring at its Brownsville, Tex-as, plant. Historical records show that 6% of the employees suffered lost-time accidents last year. Management...
The Silver Star Bicycle Company will be manufacturing both mens and womens models for its Easy-Pedal 10-speed bicycles during the next two months. Management wants to develop a production schedule...
The scatter chart in the following figure was created using sample data for profits and market capitalizations from a sample of firms in the Fortune 500. a. What does this scatter chart indicate...
A model rocket is fired vertically upward from rest. Its acceleration for the first three seconds is a (t) = 60t, at which time the fuel is exhausted and it becomes a freely falling body. Fourteen...
Based on a poll conducted through the e-edition of USA Today, 67% of Internet users are more careful about personal information when using a public Wi-Fi hotspot. What is the probability that among...
A manufacturer of clothing knows that the probability of a button flaw (broken, sewed on incorrectly, or missing) is 0.002. An inspector examines 50 shirts in an hour, each with 6 buttons. Using a...
Lisa Surowsky was asked to help in determining the best ordering policy for a new product. Currently, the demand for the new product has been projected to be about 1,000 units annually. To get a...
A university cafeteria line in the student center is a self-serve facility in which students select the food items they want and then form a single line to pay the cashier. Students arrive at a rate...
To better understand how husbands and wives feel about their finances, Money Magazine conducted a national poll of 1010 married adults age 25 and older with household incomes of $50,000 or more...
David Barnes and his fiancée Valerie Shah are visiting Hawaii. At the Hawaiian Cultural Center in Honolulu, they are told that 2 out of a group of 8 people will be randomly picked for a free...
The housing market has recovered slowly from the economic crisis of 2008. Recently, in one large community, realtors randomly sampled 36 bids from potential buyers to estimate the average loss in...
A sample of nine public universities and nine private universities was taken. The total cost for the year (including room and board) and the median SAT score (maximum total is 2400) at each school...
A newspaper article claimed that the afternoon hours were the worst in terms of robberies and provided the graph in support of this claim. Explain how this graph is misleading. Hourly Crime...
Suppose that the point spread for a particular sporting event is 10 points and that with this spread you are convinced you would have a 0.60 probability of winning a bet on your team. However, the...
Speedy Swift is a package delivery service that serves the greater Atlanta, Georgia, metropolitan area. To maintain customer loyalty, one of Speedy Swifts performance objectives is on-time delivery....
As part of the settlement for a class action lawsuit, Hoxworth Corporation must provide sufficient cash to make the following annual payments (in thousands of dollars): The annual payments must be...
A consumer products company is formulating a new shampoo and is interested in foam height (in millimeters). Foam height is approximately normally distributed and has a standard deviation of 20...
A mass balance for a pollutant in a well-mixed lake can be written as V dc/dt W Qc - kVc. Given the parameter values V = 1 x 10 6 m 3 , Q = 1 x 10 5 m 3 /yr, W = l x 10 6 g/yr, and k = 0.25 m 0.5...
Blair & Rosen, Inc. (B&R) is a brokerage firm that specializes in investment portfolios designed to meet the specific risk tolerances of its clients. A client who contacted B&R this past week has a...
As part of a quality improvement initiative, Consolidated Electronics employees complete a three-day training program on teaming and a two-day training program on problem solving. The manager of...
During the summer of 2014, Coldstream Country Club in Cincinnati, Ohio collected data on 443 rounds of golf played from its white tees. The data for each golfer's score on the twelfth hole are...
Elizabeth Bailey is the owner and general manager of Princess Brides, which provides a wedding planning service in Southwest Louisiana. She uses radio advertising to market her business. Two types of...
A well-known manufacturer of several brands of toothpaste uses the production lot size model to determine production quantities for its various products. The product known as Extra White is currently...
Klein Chemicals, Inc., produces a special oil-based material that is currently in short supply. Four of Kleins customers have already placed orders that together exceed the combined capacity of...
The sample data below represent the number of late and on time flights for Delta, United, and US Airways (Bureau of Transportation Statistics, March 2012). a. Formulate the hypotheses for a test that...
As depicted in Fig. P5.15, the velocity of water, y (m/s), discharged from a cylindrical tank through a long pipe can be computed as where g = 9.81 m/s2, H = initial head (m), L = pipe length (m),...
The San Francisco Chronicle is a large newspaper published daily. What is the level of measurement for each of the following variables? a. The number of papers sold each Sunday during 2014. b. The...
Google has changed its strategy with regard to how much and over which media it invests in advertising. The following table shows Googles marketing budget in millions of dollars for 2008 and 2011...
Sanders Fishing Supply of Naples, Florida, manufactures a variety of fishing equipment that it sells throughout the United States. For the next three months, Sanders estimates demand for a particular...
Drugs shown in 98 percent of movies Story summary: A "government study" claims that drug use, drinking, or smoking was depicted in 98% of the top movie rentals (Associated Press). Give a headline and...
Building a backyard swimming pool consists of nine major activities. The activities and their immediate predecessors are shown. Develop the projectnetwork. A BC D E F G H Activit Immediate...
Recall the Toms, Inc., problem. Letting W = jars of Western Foods Salsa M = jars of Mexico City Salsa Leads to the formulation: Max1W + 1.25M s.t. 5W + 7M 4480 Whole tomatoes 3W + 1M 2080 Tomato...
The Ranch House, Inc., operates five fast-food restaurants. Input measures for the restaurants include weekly hours of operation, full-time equivalent staff, and weekly supply expenses. Output...
The Omega Manufacturing Company has discontinued the production of a certain unprofitable product line. This act created considerable excess production capacity. Management is considering devoting...
Suppose that a computer chip company has just shipped 10,000 computer chips to a computer company. Unfortunately, 50 of the chips are defective. (a) Compute the probability that two randomly selected...
Sports of All Sorts produces, distributes, and sells high-quality skateboards. Its supply chain consists of three factories (located in Detroit, Los Angeles, and Austin) that produce skateboards. The...
Reconstruct the syllogistic forms from the following combinations of mood and figure: 1. OAE-3 2. EIA-4 3. AII-3 4. IAE-1 5. AOO-2 6. EAO-4 7. AAA-1 8. EAO-2 9. OEI-3 10. OEA-4
Aerospace engineers sometimes compute the trajectories of projectiles like rockets. A related problem deals with the trajectory of a thrown ball. The trajectory of a ball is defined by the (x, y)...
Aretail store in Des Moines, Iowa, receives shipments of a particular product from Kansas City and Minneapolis. Let x = units of product received from Kansas City y = units of product received from...
The J. R. Ryland Computer Company is considering a plant expansion that will enable the company to begin production of a new computer product. The companys president must determine whether to make...
The average number of minutes Americans commute to work is 27.7 minutes (Sterlings Best Places, April 13, 2012). The average commute time in minutes for 48 cities are as follows: a. What is the mean...
The Student News Service at Clear Mountain State University ( CMSU) has decided to gather data about the undergraduate students that attend CMSU. It creates and distributes a survey of 14 questions...
Nielsen Media Research conducted a study of household television viewing times during the 8 p.m. to 11 p.m. time period. The data contained in the file named Nielsen are consistent with the findings...
The air pollution project discussed in the chapter has progressed over the past several weeks, and it is now the end of week 8. Lester Harky would like to know the value of the work completed the...