Practical Management Science
6th Edition
ISBN: 9781337406659
Author: WINSTON, Wayne L.
Publisher: Cengage,
expand_more
expand_more
format_list_bulleted
Concept explainers
Question
Chapter 6, Problem 69P
Summary Introduction
To determine: The way to minimize the annual cost required to meet the demand of the customers.
Introduction: The variation between the present value of the
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solution
Students have asked these similar questions
Please do not give solution in image format thanku
Let xi = 1 if Project i is selected, i = 1,2,3,4,5; and 0 otherwise:
Which answer below indicates that if Project 2 is selected, then Project 4 must be selected?
Group of answer choices
None of the above
x2 + x4 = 1
x2 + x4 ≤ 1
x4 ≤ x2
x2 ≤ x4
A company has one machine which can be used to make product Alpha and product Beta.
Each unit of product Alpha requires 45 minutes of machine time, while
each unit of product Beta requires 37 minutes of machine time.
The machine can be used for 8 hours per day and 5 days per week.
Next week the company will produce 23 units of product Alpha.
After completing the production of Alpha, the company will produce product Beta.
How many units of product Beta can be produced next week?
Use at least 4 decimals.You must showm your calculation steps and brief explanation on your Excel spreadsheets.
Minimize Z= x1+2x2-3x3-2x4
subject to:
x1+2x2-3x3+x4=4
x1+2x2+x3+2x4=4
x1, x2, x3,x4 are equal or greater then zero
Chapter 6 Solutions
Practical Management Science
Ch. 6.3 - Prob. 1PCh. 6.3 - Prob. 2PCh. 6.3 - Solve Problem 1 with the extra assumption that the...Ch. 6.3 - Prob. 4PCh. 6.3 - Prob. 5PCh. 6.3 - Prob. 6PCh. 6.3 - Prob. 7PCh. 6.3 - Prob. 8PCh. 6.3 - Prob. 9PCh. 6.3 - Prob. 10P
Ch. 6.4 - Prob. 11PCh. 6.4 - Prob. 12PCh. 6.4 - Prob. 13PCh. 6.4 - Prob. 14PCh. 6.4 - Prob. 15PCh. 6.4 - Prob. 16PCh. 6.4 - Prob. 17PCh. 6.4 - Prob. 18PCh. 6.4 - Prob. 19PCh. 6.4 - Prob. 20PCh. 6.4 - Prob. 21PCh. 6.4 - Prob. 22PCh. 6.4 - Prob. 23PCh. 6.5 - Prob. 24PCh. 6.5 - Prob. 25PCh. 6.5 - Prob. 26PCh. 6.5 - Prob. 28PCh. 6.5 - Prob. 29PCh. 6.5 - Prob. 30PCh. 6.5 - In the optimal solution to the Green Grass...Ch. 6.5 - Prob. 32PCh. 6.5 - Prob. 33PCh. 6.5 - Prob. 34PCh. 6.5 - Prob. 35PCh. 6.6 - Prob. 36PCh. 6.6 - Prob. 37PCh. 6.6 - Prob. 38PCh. 6 - Prob. 39PCh. 6 - Prob. 40PCh. 6 - Prob. 41PCh. 6 - Prob. 42PCh. 6 - Prob. 43PCh. 6 - Prob. 44PCh. 6 - Prob. 45PCh. 6 - Prob. 46PCh. 6 - Prob. 47PCh. 6 - Prob. 48PCh. 6 - Prob. 49PCh. 6 - Prob. 50PCh. 6 - Prob. 51PCh. 6 - Prob. 52PCh. 6 - Prob. 53PCh. 6 - Prob. 54PCh. 6 - Prob. 55PCh. 6 - Prob. 56PCh. 6 - Prob. 57PCh. 6 - Prob. 58PCh. 6 - Prob. 59PCh. 6 - Prob. 60PCh. 6 - Prob. 61PCh. 6 - Prob. 62PCh. 6 - Prob. 63PCh. 6 - Prob. 64PCh. 6 - Prob. 65PCh. 6 - Prob. 66PCh. 6 - Prob. 67PCh. 6 - Prob. 68PCh. 6 - Prob. 69PCh. 6 - Prob. 70PCh. 6 - Prob. 71PCh. 6 - Prob. 72PCh. 6 - Prob. 73PCh. 6 - Prob. 74PCh. 6 - Prob. 75PCh. 6 - Prob. 76PCh. 6 - Prob. 77PCh. 6 - Prob. 78PCh. 6 - Prob. 79PCh. 6 - Prob. 80PCh. 6 - Prob. 81PCh. 6 - Prob. 82PCh. 6 - Prob. 83PCh. 6 - Prob. 84PCh. 6 - Prob. 85PCh. 6 - Prob. 86PCh. 6 - Prob. 87PCh. 6 - Prob. 88PCh. 6 - Prob. 89PCh. 6 - Prob. 90PCh. 6 - Prob. 91PCh. 6 - Prob. 92PCh. 6 - This problem is based on Motorolas online method...Ch. 6 - Prob. 94PCh. 6 - Prob. 95PCh. 6 - Prob. 96PCh. 6 - Prob. 97PCh. 6 - Prob. 98PCh. 6 - Prob. 99PCh. 6 - Prob. 100PCh. 6 - Prob. 1CCh. 6 - Prob. 2CCh. 6 - Prob. 3.1CCh. 6 - Prob. 3.2CCh. 6 - Prob. 3.3CCh. 6 - Prob. 3.4CCh. 6 - Prob. 3.5CCh. 6 - Prob. 3.6C
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, operations-management and related others by exploring similar questions and additional content below.Similar questions
- You are required to create the following tables in a database named STUDENT_REGISTRATIONS. Ensure that you create the database and table objects exactly as depicted below. STUDENTS STUDENT_ID VARCHAR(8) NOT NULL PRIMARY KEY STUDENT_NAME VARCHAR(40) NOT NULL STUDENT_SURNAME VARCHAR(40) NOT NULL MODULES MODULE_ID VARCHAR(8) NOT NULL PRIMARY KEY MODULE_NAME VARCHAR(40) NOT NULL MODULE_CREDIT SMALLINT NOT NULL STUDENT_MODULES STUDENT_ID VARCHAR(8) NOT NULL PRIMARY KEY FOREIGN KEY REFERENCES STUDENTS(STUDENT_ID) MODULE ID VARCHAR(8) NOT NULL PRIMARY KEY FOREIGN KEY REFERENCES MODULES(MODULE_ID) LECTURERS LECTURER_ID VARCHAR(8) NOT NULL PRIMARY KEY LECTURER_NAME VARCHAR(40) NOT NULL LECTURER_SURNAME VARCHAR(40) NOT NULL O The Independent Institute of Education (Pty) Ltd 2021 Page 3 of 10 19, 20; 21 2021 LECTURER_MODULES MODULE_ID VARCHAR(8) NOT NULL PRIMARY KEY FOREIGN KEY REFERENCES MODULES(MODULE_ID) LECTURER_ID VARCHAR(8) NOT NULL PRIMARY KEY FOREIGN KEY REFERENCES LECTURERS(LECTURER_ID)arrow_forwardAn experiment that involves learning in animals requires placing white mice and rabbits into separate, controlled environments: environment I and environment II. The maximum amount of time available in environment I is 420 minutes, and the maximum amount of time available in environment II is 624 minutes. The white mice must spend 10 minutes in environment I and 24 minutes in environment II, and the rabbits must spend 12 minutes in environment I and 16 minutes in environment II. (a) Write a system of inequalities that describes the constraints on the number of each type of animal used in the experiment. (Let x represent the number of mice, and let y represent the number of rabbits.) environment I time constraint environment II time constraint x ≥ 0 experiment constraint, mice y ≥ 0 experiment constraint, rabbits (b) Graph the solution of the system of inequalities and find the corners of the solution region.arrow_forwardA company makes three types of candy and packages them in three assortments. Assortment I contains 4 cherry, 4 lemon, and 12 lime candies, and sells for a profit of $4.00. Assortment Il contains 12 cherry, 4 lemon, and 4 lime candies, and sells for a profit of $3.00. Assortment III contains 8 cherry, 8 lemon, and 8 lime candies, and sells for a profit of $5.00. They can make 5,200 cherry, 4,000 lemon, and 6,000 lime candies weekly. How many boxes of each type should the company produce each week in order to maximize its profit (assuming that all boxes produced can be sold)? What is the maximum profit? Select the correct choice below and fill in any answer boxes within your choice. OA. The maximum profit is $ when boxes of assortment 1. boxes of assortment II and assortment III are produced. OB. There is no way for the company to maximize its profit boxes ofarrow_forward
- Use excel for this problem A trust officer at the Blacksburg National Bank needs to determine how to invest $150,000 in the following collection of bonds to maximize the annual return. Bond Annual Return Maturity Risk Tax Free A 9.5% Long High Yes B 8.0% Short Low Yes C 9.0% Long Low No D 9.0% Long High Yes E 9.0% Short High No The officer wants to invest at least 40% of the money in short-term issues and no more than 20% in high-risk issues. At least 25% of the funds should go in tax-free investments, and at least 45% of the total annual return should be tax free. Formulate the LP model for this problem. Create the spreadsheet model and use Solver to solve the problem.arrow_forwardTo graduate from Pace University with a major in operations research (OR), a student must complete at least two math courses, at least two OR courses, and at least two computer courses. Some courses can be used to fulfill more than one requirement: Calculus can fulfill the math requirement Operations Research can fulfill the math and OR requirements Data Structures can fulfill the computer and math requirements Business Statistics can fulfill the math and OR requirements Computer Simulation can fulfill the OR and computer requirements Introduction to Computer Programming can fulfill the computer requirement Forecasting can fulfill the OR and math requirements. Complete this template (show all formulas) and use Solver to minimize the number of courses needed to satisfy the major requirements (there could be multiple optimal solutions). Please also paste any Solver window used as well - thanks! I will also attach a screenshot of the excel template for convinience and to help replicate.arrow_forwardTo graduate from Pace University with a major in operations research (OR), a student must complete at least two math courses, at least two OR courses, and at least two computer courses. Some courses can be used to fulfill more than one requirement: Calculus can fulfill the math requirement Operations Research can fulfill the math and OR requirements Data Structures can fulfill the computer and math requirements Business Statistics can fulfill the math and OR requirements Computer Simulation can fulfill the OR and computer requirements Introduction to Computer Programming can fulfill the computer requirement Forecasting can fulfill the OR and math requirements. Complete this template (show all formulas) and use Solver to minimize the number of courses needed to satisfy the major requirements (there could be multiple optimal solutions). Please also paste any Solver window used as well - thanks! I will also attach a screenshot of the excel template for convinience and to help replicate.…arrow_forward
- A roller coaster is being designed for a new theme park. Two "trains" are on the track at any given time. One train is being unloaded/reloaded while the other is moving along the track. The track itself takes 10 minutes to complete. The train being loaded should depart before the arriving train is no closer than one minute away. Each car of a train accommodates four people. Loading a car is estimated to take 6 seconds per passenger. Unloading is estimated to take 6 seconds per passenger. Suppose that (unlike actual roller coasters), only one car can be loaded or unloaded at a time. Unloading can NOT occur at the same time as loading. In order to maximize the number of potential passengers, how many cars should the train be made up of? Round your answer to the nearest whole car.arrow_forwardA college student works in both the school cafeteria and library. She works no more than 12 hours per week at the cafeteria, and no more than 16 hours per week at the library. She must work at least 20 hours each week. Write a system of inequalities that describes all the given conditions. Write a system of inequalities letting x= number of hours worked at the cafeteria per week and y = number of hours worked at the library per week. x+yz x≤ ysarrow_forwardA political party is planning a ninety-minute television show. The show will have at least 9 minutes of direct requests for money from viewers. Three of the party's politicians will be on the show- a senator, a congresswoman, and a governor. The senator, a party "elder statesman," demands that he be on screen for at least twice as long as the governor. The total time taken by the senator and the governor must be at least twice the time taken by the congresswoman. Based on a pre-show survey, it is believed that 37, 41, and 45 (in thousands) viewers will watch the program for each minute the senator, congresswoman, and governor, respectively, are on the air. Find the time that should be allotted to each politician in order to get the maximum number of viewers. Find the maximum number of viewers. The quantity to be maximized, z, is the number of viewers in thousands. Let x, be the total number of minutes allotted to the senator, × be the total number of minutes allotted to the…arrow_forward
- money borrowed for personal reasons; to be repaid within a specific time frame and with added interest money borrowed for the purchase of real estate; to be repaid within a specific time frame and with added interest money borrowed for business reasons; to be repaid within a specific time frame and with added interest money borrowed for the purchase of a vehicle; to be repaid within a specific time frame and with added interest : Business Loan :: Auto Loan :: Mortgage Loan :: Personal Loan 1 4 6. 8. 9. Finish Siarrow_forwardA farm consists of 600 acres of land, of which 500 acres will be planted with corn, soybeans, and wheat, according to these conditions: At least half of the planted acreage should be in corn No more than 200 acres should be soybeans The ratio of corn to wheat planted should be 2:1 It costs $20 an acre to plant corn, $15 an acre to plant soybeans, and $12 an acre to plant wheat Formulate this problem as an LP model that will minimize planting cost while achieving the specified conditions.arrow_forwardA plant is being built to manufacture two product families A and B. The facility must produce 100,000 units of each family per year. Three technologies are available. Technology one costs $125,000 per system per year, and a system can produce 50,000 units of product A, or 25,000 units of product B. Technology two costs $65000 per year and can produce 45,000 of either product per year. A third technology exists that can only produce product B. The system could produce all 100,000 units for a cost of $180,000 per year. A. Find a good heuristic solution to the problem by first relaxing the integer restriction on purchasing processes and then rounding up the resultant acquisition variables. B. Other than expected cost, what factors should be considered?arrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
Practical Management ScienceOperations ManagementISBN:9781337406659Author:WINSTON, Wayne L.Publisher:Cengage,
Practical Management Science
Operations Management
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:Cengage,