Question: Based on Charnes and Cooper (1955). Alex

> How sensitive is the optimal solution (barrels of each input and output sold and total revenue) to the required quality levels? Answer this by running a two-way SolverTable with these five outputs. You can choose the values of the two quality levels to v

> Modify Acron’s model so that sales increase, then stay steady, and finally decrease. Specifically, assume that the gross margin is $1.2 million in year 1, then increases by 10% annually through year 6, then stays constant through year 10, and finally dec

> Use SolverTable in Chandler’s blending model to find the shadow price of crude oil 1—that is, the amount Chandler would be willing to spend to acquire more crude oil 1. Does this shadow price change as Chandler keeps getting more of crude oil 1? Answer t

> Use SolverTable in Chandler’s blending model to see whether, by increasing the selling price of gasoline, you can get an optimal solution that produces only gasoline, no heating oil. Then use SolverTable again to see whether, by increasing the selling pr

> Suppose, as a matter of corporate policy, that General Flakes decides not to advertise on the “Rachael Ray” show. Modify the original advertising model appropriately and find the new optimal solution. How much has it cost the company to make this policy

> We saw that the natural way to model SureStep’s backlogging model, with IF functions, leads to a nonsmooth model that Solver has difficulty handling. Another version of the problem is also difficult for Solver. Suppose SureStep wants to meet all demand o

> In the SureStep no-backlogging problem, change the demands so that they become 6000, 8000, 5000, 3000. Also, change the problem slightly so that newly hired workers take six hours to produce a pair of shoes during their first month of employment. After t

> In the current no-backlogging problem, SureStep doesn’t hire any workers and uses almost no overtime. This is evidently because of low demand. Change the demands to 6000, 8000, 5000, and 3000, and reoptimize. Is there now hiring and overtime? With this n

> Suppose SureStep could begin a machinery upgrade and training program to increase its worker productivity. This program would result in the following values of labor hours per pair of shoes over the next four months: 4, 3.9, 3.8, and 3.8. How much would

> The current solution to SureStep’s no-backlogging aggregate planning model requires a lot of firing. Run a one-way SolverTable with the firing cost as the input variable and the numbers fired as the outputs. Let the firing cost increase from its current

> SureStep is currently getting 160 regular-time hours from each worker per month. This is actually calculated from 8 hours per day times 20 days per month. For this, they are paid $9.375 per hour (51500y160). Suppose workers can change their contract so t

> Extend SureStep’s original no-backlogging aggregate planning model from four to six months. Try several different values for demands in months 5 and 6, and run Solver for each. Is your optimal solution for the first four months the same as the one in the

> Modify Acron’s model so that development lasts for an extra year. Specifically, assume that development costs of $7.2 million and $2.1 million are incurred at the beginnings of years 1 and 2, and then the sales in the current model occur one year later,

> In the employee scheduling example, suppose that the company can require the employees to work one day of overtime each week on the day immediately following this five-day shift. For example, an employee whose regular shift is Monday to Friday can also b

> In the employee scheduling example, suppose the company has 25 full-time employees and is not allowed to hire or fire any of them. Determine a schedule that maximizes the number of weekend days off received by these employees.

> In the employee scheduling example, suppose the employees want more flexibility in their schedules. They want to be allowed to work five consecutive days followed by two days off or to work three consecutive days followed by a day off, followed by two co

> In addition to the constraints already in the (original) advertising model, suppose General Flakes also wants to obtain at least 180 million exposures to men and at least 160 million exposures to women. Does the current optimal solution satisfy these con

> Explain why it is problematic to include a constraint such as the following in an LP model for a blending problem: Total octane in gasoline 1 blend / Barrels of gasoline 1 blended daily ≥ 0

> The employee scheduling model in this chapter was purposely made small (only seven decision variable cells). What would make a similar problem for a company like McDonald’s much more difficult? What types of constraints would be required? How many decisi

> A large CPA firm currently has 100 junior staff members and 20 partners. In the long run—say, 20 years from now—the firm would like to consist of 130 junior staff members and 20 partners. During a given year, 10% of all partners and 30% of all junior sta

> Discuss how the aggregate planning model could be extended to handle a company that produces several products on several types of machines. What information would you need to model this type of problem?

> In this chapter, we give you the cost of producing a product and other inputs that are used in the analysis. Do you think most companies find it easy to determine the cost of producing a product? What difficulties might arise?

> Keefer Paper produces recycled paper from paper purchased from local offices and universities. The company sells three grades of paper: high brightness paper, medium-brightness paper, and low-brightness paper. The high-brightness paper must have a bright

> In the profit model in this section, we used the power curve to relate demand and price because it has the lowest MAPE (as well as the lowest RMSE and MAE). However, the exponential curve was not far behind. Rework the profit model using the exponential

> You have been assigned to develop a model that can be used to schedule the nurses working in a maternity ward. a. What data would you collect as inputs to your model? b. Describe in words several appropriate objective functions for your model. c. Describ

> You have been assigned to develop a model that can be used to schedule employees at a local fast food restaurant. Assume that computer technology has advanced to the point where very large problems can be solved on a PC at the restaurant. a. What data wo

> Three bonds, as listed in the file, are currently for sale. Each bond has a face value of $100. Every six months, starting six months from the current date and ending at the expiration date, each bond pays 0.5*(coupon rate)*(Face value). At the expiratio

> Based on Glassey and Gupta (1978). A paper recycling plant processes box board, tissue paper, newsprint, and book paper into pulp that can be used to produce three grades of recycled paper. The prices per ton and the pulp contents of the four inputs are

> During each six-hour period of the day, the Bloomington Police Department needs at least the number of police officers shown in the file P04_125.xlsx. Police officers can be hired to work either 12 consecutive hours or 18 consecutive hours. Police office

> Based on Robichek et al. (1965). At the beginning of month 1, Finco has $35,000 in cash. At the beginning of months 1, 2, 3, and 4, Finco receives certain revenues, after which it pays bills. (See the file P04_124.xlsx.) Any money left over can be invest

> Based on Dobson and Kalish (1988). Chandler Enterprises produces two competing products, A and B. The company wants to sell these products to two groups of customers. The values each customer places on a unit of A and B are shown in the file. Each custom

> Based on Carino and Lenoir (1988). Brady Corporation produces cabinets. Each week, Brady requires 90,000 cubic feet of processed lumber. The company can obtain lumber in two ways. First, it can purchase lumber from an outside supplier and then dry it at

> Based on Franklin and Koenigsberg (1973). The city of Busville contains three school districts. The numbers of minority and nonminority students in each district are given in the file P04_121.xlsx. The local court has decided that each of the town’s two

> Bexter Labs produces three products: A, B, and C. Bexter can sell up to 2000 units of product A, up to 2500 units of product B, and up to 800 units of product C. Each unit of product C uses two units of A and three units of B and incurs $5 in processing

> Consider the exponential curve y = 1000e-0.014x. Calculate y when x = 5; when x = 10; and when x = 20. For each of these values of x, find the percentage change in y when x increases by one unit. That is, find the percentage change in y when x increases

> Each week, Chemco can purchase unlimited quantities of raw material at $6 per pound. Each pound of purchased raw material can be used to produce either input 1 or input 2. Each pound of raw material can yield 2 ounces of input 1, requiring 2 hours of pro

> Flexco produces six products in the following manner. Each unit of raw material purchased yields 4 units of product 1, 2 units of product 2, and 1 unit of product 3. Up to 1200 units of product 1 can be sold, and up to 300 units of product 2 can be sold.

> Sunco Oil has three different processes that can be used to manufacture various types of gasoline. Each process involves blending oils in the company’s catalytic cracker. Running process 1 for an hour costs $20 and requires two barrels of crude oil 1 and

> Rylon Corporation manufactures Brute cologne and Chanelle perfume. The raw material needed to manufacture each type of fragrance can be purchased for $60 per pound. Processing 1 pound of raw material requires 1 hour of laboratory time. Each pound of proc

> Owens-Wheat uses two production lines to produce three types of fiberglass mat. The demand requirements (in tons) for each of the next four months are shown in the file P04_115.xlsx. If it were dedicated entirely to the production of one product, a line

> Each hour from 10 a.m. to 7 p.m., Bank One receives checks and must process them. Its goal is to process all checks the same day they are received. The bank has 5 check processing machines, each of which can process up to 1200 checks per hour. It takes o

> Mackk Engine produces diesel trucks. New government emission standards have dictated that the average pollution emissions of all trucks produced in the next three years cannot exceed 12 grams per truck. Mackk produces two types of trucks. Each type 1 tru

> Based on Robichek et al. (1965). The Korvair Department Store has $100,000 in available cash. At the beginning of each of the next six months, Korvair will receive revenues and pay bills as listed in the file P04_112.xlsx. It is clear that Korvair will h

> Based on Lanzenauer et al. (1987). To process income tax forms, the IRS first sends each form through the data preparation (DP) department, where information is coded for computer entry. Then the form is sent to data entry (DE), where it is entered into

> The production line employees at Grummins Engine work four days per week, 10 hours per day. Each day of the week, the following minimum numbers of line employees are needed: Monday through Friday, 70 employees; Saturday and Sunday, 40 employees. Grummins

> Consider the power curve y = 10000x-2.35. Calculate y when x = 5; when x = 10; and when x = 20. For each of these values of x, find the percentage change in y when x increases by 1%. That is, find the percentage change in y when x increases from 5 to 5.0

> The Fresh Turkey Company produces two types of turkey cutlets for sale to fast-food restaurants. Each type of cutlet consists of white meat and dark meat. Cutlet 1 sells for $2.97 per pound and must consist of at least 65% white meat. Cutlet 2 sells for

> Based on Smith (1965). Silicon Valley Corporation (Silvco) manufactures transistors. An important aspect of the manufacture of transistors is the melting of the element germanium (a major component of a transistor) in a furnace. Unfortunately, the meltin

> City 1 produces 500 tons of waste per day, and city 2 produces 400 tons of waste per day. Waste must be incinerated at incinerator 1 or 2, and each incinerator can process up to 500 tons of waste per day. The cost to incinerate waste is $40 per ton at in

> Based on Rothstein (1973). The Springfield City Police Department employs 30 police officers. Each officer works five days per week. The crime rate fluctuates with the day of the week, so the number of police officers required each day depends on the day

> Gotham City National Bank is open Monday through Friday from 9 a.m. to 5 p.m. From past experience, the bank knows that it needs the numbers of tellers listed in the file P04_104.xlsx. Gotham City Bank hires two types of tellers. Full-time tellers work 9

> During the next three months, a heating and cooling company must meet (on time) the following demands for air conditioners: month 1, 600; month 2, 400; and month 3, 300. Air conditioners can be produced in either New York or Los Angeles. It takes 1.5 hou

> Each day, Eastinghouse produces capacitors during three shifts: 8 a.m. to 4 p.m., 4 p.m. to 12 a.m., and 12 a.m. to 8 a.m. The hourly salary paid to the employees on each shift, the price charged for each capacitor made during each shift, and the number

> Aluminaca produces 100-foot-long, 200-foot-long, and 300-foot-long ingots for customers. This week’s demand for ingots is listed in the file. Aluminaca has four furnaces in which ingots can be produced. During one week, each furnace can be operated for 5

> You are a CFA (chartered financial analyst). An overextended client has come to you because she needs help paying off her credit card bills. She owes the amounts on her credit cards listed in the file. The client is willing to allocate up to $6000 per mo

> Suppose you have an extra six months of data on demands and prices, in addition to the data in the example. These extra data points are (350,84), (385,72), (410,67), (400,62), (330,92), and (480,53). (The price is shown first and then the demand at that

> The sensitivity analysis in the Quality Sweaters example was on the response rate. Suppose now that the response rate is known to be 8%, and the company wants to perform a sensitivity analysis on the number mailed. After all, this is a variable under di

> Write, compile, and test a class that displays the pattern shown in Figure 1-27. Save the class as Triangle.java.

> Write, compile, and test a class that displays the pattern shown in Figure 1-26. Save the class as TableAndChairs.java.

> Write, compile, and test a class that uses four println() statements to display, in order, your favorite movie quote, the movie it comes from, the character who said it, and the year of the movie. Save the class as MovieQuoteInfo.java.

> Sunshine Seashore Supplies rents beach equipment such as kayaks, canoes, beach chairs, and umbrellas to tourists. Write a program that prompts the user for the number of minutes the user rented a piece of sports equipment. Compute the rental cost as $40

> Yummy Catering provides meals for parties and special events. Write a program that prompts the user for the number of guests attending an event and then computes the total price, which is $35 per person. Display the company motto with the border that you

> a. Sunshine Seashore Supplies rents beach equipment such as kayaks, canoes, beach chairs, and umbrellas to tourists. Write a program that displays Sunshine’s motto, which is Sunshine Seashore makes it fun in the sun. Save the file as SunshineMotto.java.

> a. Yummy Catering provides meals for parties and special events. Write a program that displays Yummy Catering’s motto, which is Yummy makes the food that makes it a party. Save the file as YummyMotto.java. b. Create a second program that displays the mo

> Write, compile, and test a class that uses four println() statements to display four lines of the lyrics of your favorite song. Save the class as SongLyrics.java.

> a. Sunshine Seashore Supplies rents beach equipment such as kayaks, canoes, beach chairs, and umbrellas to tourists. Create a Rental class for the company. The Rental class contains the following: ❯❯ Two public final static fields that hold the number of

> a. Create a class to hold Event data for Yummy Catering. The class contains the following: ❯❯ Two public final static fields that hold the price per guest ($35) and the cutoff value for a large event (50 guests). ❯❯ Three private fields that hold an eve

> Sunshine Seashore Supplies rents beach equipment such as kayaks, canoes, beach chairs, and umbrellas to tourists. In Chapter 2, you wrote an application that prompts the user for the number of minutes a piece of sports equipment was rented, displays the

> Yummy Catering provides meals for parties and special events. In Chapter 2, you wrote an application that prompts the user for the number of guests attending an event, displays the company motto with a border, and then displays the price of the event and

> Mad Libs is a children’s game in which the players provide a few words that are then incorporated into a silly story. For example, you might ask a child for the name of an animal, a number, and a direction. The child might reply with such answers as dog,

> Mad Libs is a children’s game in which they provide a few words that are then incorporated into a silly story. The game helps children understand different parts of speech because they are asked to provide specific types of words. For example, you might

> Recall how to obtain a random number. For example, the following statement generates a random number between the constants MIN and MAX inclusive and assigns it to a variable named random: random = MIN + (int)(Math.random() * MAX); Write a program that se

> Computer games have been around for a long time: •In 1947, Thomas T. Goldsmith Jr. and Estle Ray Mann filed the first patent for a computer game. •In 1952, A. S. Douglas wrote his University of Cambridge Ph.D. dissertation on human–computer interaction

> Dice are used in many games. One die can be thrown to randomly show a value from 1 through 6. Design a Die class that can hold an integer data field for a value (from 1 to 6). Include a constructor that randomly assigns a value to a die object. For exam

> Computer games often contain different characters or creatures. For example, you might design a game in which alien beings possess specific characteristics such as color, number of eyes, or number of lives. Design a character for a game, creating a class

> Name at least three classes to which each of these objects might belong: a. myRedBicycle b. friedEgg c. cellPhone

> Playing cards are used in many computer games, including versions of such classics as solitaire, hearts, and poker. Design a Card class that contains a character data field to hold a suit (s for spades, h for hearts, d for diamonds, or c for clubs) and a

> Recall how to obtain a random number. For example, the following statement generates a random number between the constants MIN and MAX inclusive and assigns it to a variable named random: random = MIN + (int)(Math.random() * MAX); Write a program that de

> Each of the following files saved in the Chapter03 folder in your downloadable student files has syntax and/or logic errors. In each case, determine and fix the problem. After you correct the errors, save each file using the same filename preceded with F

> Each of the following files in the Chapter02 folder of your downloadable student files has syntax and/or logic errors. In each case, determine the problem and fix the application. After you correct the errors, save each file using the same filename prece

> Each of the following files in the Chapter01 folder in your downloadable student files has syntax and/or logic errors. In each case, determine the problem and fix the errors. After you correct the errors, save each file using the same filename preceded w

> Each of the following files in the Chapter04 folder of your downloadable student files has syntax and/or logic errors. In each case, determine the problem and fix the program. After you correct the errors, save each file using the same filename preceded

> The LocalDate class includes an instance method named lengthOfMonth() that returns the number of days in the month. Write an application that allows the user to enter a month, day, and year and uses methods in the LocalDate class to calculate how many da

> Write an application that prompts a user for the user’s month, day, and year of birth and uses the LocalDate class to compute the day on which the user will become (or became) 10,000 days old. Save the application as TenThousandDaysOld.java.

> Write a program that declares two LocalDate objects and prompts the user for values. Display output that demonstrates the dates displayed when one, two, and three months are added to each of the objects. (When you test the program, be sure to try some da

> Write a Java application that prompts the user for an int and a double and then uses Math class methods to display each of the following: a. The square root of the int b. A random number between 0 and the int (Hint: The Math.random() method returns a val

> Name at least three real-life objects that are instances of each of the following classes: a. Song b. CollegeCourse c. Musician

> a. Create a class to hold data about a high school sports team. The Team class holds data fields for high school name (such as Roosevelt High), sport (such as Basketball), and team name (such as Dolphins). Include a constructor that takes parameters for

> Create a class named BloodData that includes String fields that hold a blood type (the four blood types are O, A, B, and AB) and an Rh factor (the factors are + and –). Create a default constructor that sets the fields to O and + and an overloaded const

> Create a FitnessTracker class that includes three data fields for a fitness activity: a String for the name of the activity, an int for the number of minutes spent participating, and a LocalDate for the date. The class includes methods to get each field.

> Create a class named Lease with fields that hold an apartment tenant’s name, apartment number, monthly rent amount, and term of the lease in months. Include a default constructor that initializes the name to XXX, the apartment number to 0, the rent to 10

> Create a class named Person that holds two String objects for the person’s first and last name. Include a constructor that requires an argument for each field. Include get methods for each field. Save the file as Person.java. b. Create a class named Cou

> Create a class named Sandwich. Data fields include a String for the main ingredient (such as tuna), a String for bread type (such as wheat), and a double for price (such as 4.99). Include methods to get and set values for each of these fields. Save the c

> The Renew Your Home Company estimates each job cost as the cost of materials plus $35 per hour while on the job, plus $12 per hour for travel time to the job site. Create a class that contains a main() method that prompts the user for the name of a job (

> The Harrison Group Life Insurance company computes annual policy premiums based on the age the customer turns in the current calendar year. The premium is computed by taking the decade of the customer’s age, adding 15 to it, and multiplying by 20. For ex

> Assume that a gallon of paint covers about 350 square feet of wall space. Create an application with a main() method that prompts the user for the length, width, and height of a rectangular room. Pass these three values to a method that does the followin

> There are 12 inches in a foot and 3 feet in a yard. Create a class named InchConversion. Its main() method accepts a value in inches from a user at the keyboard and then passes the entered value to two methods. One converts the value from inches to feet,

> Name at least three attributes that might be appropriate for each of the following classes: a. RealEstateListing b. Vacation c. CreditCardBill

> To encourage good grades, Hermosa High School has decided to award each student a bookstore credit that is 10 times the student’s grade point average. In other words, a student with a 3.2 grade point average receives a $32 credit. Create a class that pro

> Create an application named Percentages whose main() method holds two double variables, and prompt the user for values. Pass both variables to a method named computePercent() that displays the two values and the value of the first number as a percentage