Practical Management Science
6th Edition
ISBN: 9781337406659
Author: WINSTON, Wayne L.
Publisher: Cengage,
expand_more
expand_more
format_list_bulleted
Concept explainers
Question
Chapter 5, Problem 56P
Summary Introduction
To determine: The way to meet Company N’s weekly demands at minimum cost.
Introduction: In linear programming, the unbounded solution would occur when the objective function is infinite. If no solution satisfied the constraints then it is said to be unfeasible solution.
Expert Solution & Answer
Trending nowThis is a popular solution!
Students have asked these similar questions
A Las Vegas, Nevada, manufacturer has the option to make or buy one of its component parts. The annual requirement is 20,000 units. A supplier is able to supply the parts for $10 per piece. The firm estimates that it costs $600 to prepare the contract with the supplier. To make the parts in-house, the firm must invest $50,000 in capital equipment, and the firm estimates that it costs $8 per piece to make the parts in-house.
Assuming that cost is the only criterion, use breakeven analysis to determine whether the firm should make or buy the item.
1. What is the breakeven quantity?
2. Should the manufacturer Make or Buy?
3. What is the cost savings using your decision in number 2 (above)? Show the total cost for each scenario then the savings amount.
Assuming your company is producing Apple and Samsung phone cases. It is required to process in the assembly and paint shops to make either phone case. It takes 1/60 of a day and 1/40 of a day to paint an Apple case and a Samsung case in the paint shop, respectively. It takes 1/50 of a day to assemble either type of case in the assembly shop. An Apple phone case and a Samsung phone case yield profits of $300 and $220, respectively, per case sold.
What is a maximum-profit daily production plan for your company?
There are two companies manufacturing drones. Company A manufactures mass market drones, while company B manufactures customised drones according to customers’ requirements. In 2020, company A produces 3,200 drones, 3% of which were found to be defective and cannot pass the quality check. Company A employs 5 workers working an average of 8 hours a day in the drone production, and they worked 200 working days in 2020.In contrast, company B produces 900 drones, 10% of which were found to be defective and cannot pass the quality check. Company B employs 3 workers working an average of 6 hours a day in the drone production, and they worked 170 days in 2020.
(a) If the drone manufacturing is seen as a process, what is considered as the output of the production processes of companies A and B and why?
(b) Measure the single-factor manpower productivity for the two companies.
(c) Is it reasonable to compare the manpower productivity of the two companies and reach a conclusion that one company…
Chapter 5 Solutions
Practical Management Science
Ch. 5.2 - Prob. 1PCh. 5.2 - Prob. 2PCh. 5.2 - Prob. 3PCh. 5.2 - Prob. 4PCh. 5.2 - Prob. 5PCh. 5.2 - Prob. 6PCh. 5.2 - Prob. 7PCh. 5.2 - Prob. 8PCh. 5.2 - Prob. 9PCh. 5.3 - Prob. 10P
Ch. 5.3 - Prob. 11PCh. 5.3 - Prob. 12PCh. 5.3 - Prob. 13PCh. 5.3 - Prob. 14PCh. 5.3 - Prob. 15PCh. 5.3 - Prob. 16PCh. 5.3 - Prob. 17PCh. 5.3 - Prob. 18PCh. 5.4 - Prob. 19PCh. 5.4 - Prob. 20PCh. 5.4 - Prob. 21PCh. 5.4 - Prob. 22PCh. 5.4 - Prob. 23PCh. 5.4 - Prob. 24PCh. 5.4 - Prob. 25PCh. 5.4 - Prob. 26PCh. 5.4 - Prob. 27PCh. 5.4 - Prob. 28PCh. 5.4 - Prob. 29PCh. 5.5 - Prob. 30PCh. 5.5 - Prob. 31PCh. 5.5 - Prob. 32PCh. 5.5 - Prob. 33PCh. 5.5 - Prob. 34PCh. 5.5 - Prob. 35PCh. 5.5 - Prob. 36PCh. 5.5 - Prob. 37PCh. 5.5 - Prob. 38PCh. 5 - Prob. 42PCh. 5 - Prob. 43PCh. 5 - Prob. 44PCh. 5 - Prob. 45PCh. 5 - Prob. 46PCh. 5 - Prob. 47PCh. 5 - Prob. 48PCh. 5 - Prob. 49PCh. 5 - Prob. 50PCh. 5 - Prob. 51PCh. 5 - Prob. 52PCh. 5 - Prob. 53PCh. 5 - Prob. 54PCh. 5 - Prob. 55PCh. 5 - Prob. 56PCh. 5 - Prob. 57PCh. 5 - Prob. 58PCh. 5 - Prob. 59PCh. 5 - Prob. 60PCh. 5 - Prob. 61PCh. 5 - Prob. 62PCh. 5 - Prob. 63PCh. 5 - Prob. 64PCh. 5 - Prob. 65PCh. 5 - Prob. 66PCh. 5 - Prob. 67PCh. 5 - Prob. 68PCh. 5 - Prob. 69PCh. 5 - Prob. 70PCh. 5 - Prob. 71PCh. 5 - Prob. 72PCh. 5 - Prob. 73PCh. 5 - Prob. 74PCh. 5 - Prob. 75PCh. 5 - Prob. 76PCh. 5 - Prob. 77PCh. 5 - Prob. 80PCh. 5 - Prob. 81PCh. 5 - Prob. 82PCh. 5 - Prob. 83PCh. 5 - Prob. 85PCh. 5 - Prob. 86PCh. 5 - Prob. 87PCh. 5 - Prob. 1C
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
- Embassy Motorcycles (EM) manufactures two lightweight motorcycles designed for easy handling and safety. The EZ-Rider model has a new engine and a low profile that make it easy to balance. The Lady-Sport model is slightly larger, uses a more traditional engine, and is specifically designed to appeal to women riders. Embassy produces the engines for both models at its Des Moines, Iowa, plant. Each EZ-Rider engine requires 6 hours ofarrow_forwardGreen Vehicle Inc. manufactures electric cars and small delivery trucks. It has just opened a new factory where the C1 car and the T1 truck can both be manufactured. To make either vehicle, processing in the assembly shop and in the paint shop are required. It takes 1/40 of a day and 1/60 of a day to paint a truck of type T1 and a car of type C1 in the paint shop, respectively. It takes 1/50 of a day to assemble either type of vehicle in the assembly shop. A T1 truck and a C1 car yield profits of $300 and $220, respectively, per vehicle sold. a) Define the objective function and constraint equations. b) Graph the feasible region. c) What is a maximum-profit daily production plan at the new factory? d) How much profit will such a plan yield, assuming whatever is produced is sold?arrow_forwardYoda just got a job offer. The job is located in Awayville. Awayville is 70 miles north of Binghamton. Yoda wants to accept the job offer, still live in Binghamton, and commute to Awayville on a daily basis. This will result in travel expense relates to approximately 700 miles per week. To make this plan work, Yoda needs a car that will get at least 25 miles per gallon of gasoline. Yoda goes to Darth's Used Car Dealership. Yoda tells Darth that Yoda needs a car that gets at least 25 miles per gallon of gasoline. Yoda explains the Awayville job situation and Darth says, "I understand - I will check my inventory - I will be right back." Darth goes into his office and looks through two different files of used car inventory. One file contains all cars that get over 25 miles per gallon of gasoline and the other file contains all cars that get under 25 miles per gallon of gasoline. Darth selects a used car from the file that indicates that the cars get over 25 miles per gallon of gasoline…arrow_forward
- Decorum, Inc., manufactures high-end ceiling fans. Their sales are seasonal with higher demand in the warmer summer months. Typically, sales average 400 units per month. However, in the hot summer months (June, July, and August), sales spike up to 600 units per month. Decorum can produce up to 500 units per month at a cost of $300 each. By bringing in temporary workers, Decorum can produce up to an additional 75 units at a cost of $350 each. Decorum sells the ceiling fans for $500 each. Decorum can carry inventory from one month to the next, but at a cost of $20 per ceiling fan per month. Decorum has 25 units in inventory at the start of January. Assuming Decorum must produce enough ceiling fans to meet demand, how many ceiling fans should Decorum produce each month (using their regular labor force and/or temporary workers) over the course of the next year so as to maximize their total profit? We have a total of type your answer...arrow_forwardFederal Rent-a-Car is putting together a new fleet. It is considering package offers from three car manufacturers. Fred Motors is offering 5 small cars, 5 medium cars, and 10 large cars for $500,000. Admiral Motors is offering 5 small, 10 medium, and 5 large cars for $400,000. Chrysalis is offering 10 small, 5 medium, and 5 large cars for $300,000. Federal would like to buy at least 650 small cars, at least 500 medium cars, and at least 650 large cars. How many packages should it buy from each car maker to keep the total cost as small as possible? Fred Motors packages Admiral Motors packages Chrysalis packages What will be the total cost?$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
- Kofi Abebrese runs a small industrial company that specialize in the production of high standard windows for housing estates. A worker is paid GHC0.9 per hour and can produce two window with an hour. Each window uses a frame costing GHC1 and incur a variable overheads of GHC0.7. Each window sells for GH¢3. Currently, due to the economic condition, work is rather slack and three employees are occupied in carrying out extensive repairs to Kofi Abebrese's own house. Kofi owns a warehouse next to the factory, which had been used as a factory store, in the past. It is now let out on a renewable annual lease of GHC600. A new building company, Allied Consult, which specializes in the production of prefabricated houses has asked Kofi if he would be interested in accepting a contract for GHC30,000 which will be for a year initially, to produced molded internal building sections. Kofi estimates that, the contract will take 13,200 hours of works, or the work of five men for a year, and that…arrow_forwardMack’s guitar fabrication shop produces low cost, highly durable guitars for beginners. Typically, out of the 100 guitars that begin production each month, only 80 percent are considered good enough to sell. The other 20 percent are scrapped due to quality problems that are identified after they have completed the production process. Each guitar sells for $300. Because some of the production process is automated, each guitar only requires 10 labor hours. Labor is paid at $10/hour, materials cost is $40/guitar, and overhead is $2,000. a) Calculate the labor and multifactor productivities. b) After some study, the operations manager recommends 3 options to improve the company’s multifactor productivity: (1) increase the sales price by 10 percent, (2) improve quality so that only 10 percent are defective, or (3) reduce labor, material, and overhead costs by 10 percent. Which option has the greatest impact on the multifactor productivity measure?arrow_forwardShale Oil, located in the middle east, has a capacity of 1,500,000 bbl of crude oil per day. The final products fromthe refinery include three types of unleaded gasoline with different octane numbers (ON): regular with ON = 87,premium with ON = 89, and super with ON = 92. The refining process encompasses three stages: (1) a distillationtower that produces feedstock (ON = 82) at the rate of 0.2 bbl per bbl of crude oil, (2) a cracker unit that producesgasoline stock (ON = 98) by using a portion of the feedstock produced from the distillation tower at the rate of 0.5bbl per bbl of feedstock, and (3) a blender unit that blends the gasoline stock from the cracker unit and the feedstockfrom the distillation tower. The company estimates the net profit per barrel of the three types of gasoline to be $6.70,$7.20, and $8.10, respectively. The input capacity of the cracker unit is 200,000 bbl of feedstock a day. The demandlimits for regular, premium, and super gasoline are 50,000, 30,000, and…arrow_forward
- Please answer question completely and explain your answerarrow_forwardAssume that each lot of 100 shipping boxes requires 160 pounds of heavy- duty liner board, 20 pounds of finish cardboard, and 4 hours of labor; that each lot of 600 mailing tubes requires 75 pounds of heavy- duty liner board, 40 pounds of finish cardboard, and 3 hours of labor; and that each lot of 100 retail boxes requires 55 pounds of heavy- duty liner board, 70 pounds of finish cardboard, and 5.5 hours of labor. Assume also that the company has available each day 350 pounds of heavy-duty liner board, 190 pounds of finish cardboard, and 17.5 hours of labor. Assume also that the profit on each retail box is $0.08, the profit on each mailing tube is $0.03, and the profit on each shipping box is $0.05. How many lots of each type of item should the company produce in order to maximize its profit?arrow_forwardProducts A,B, and C are sold door-to-door. A costs $ 3 per unit, take 10 minutes to sell (on the average) and costs $0.50 to deliver to customer. B costs $ 5, takes 15 minutes to sell, and is left with the customer at the time of sale. C costs $ 4, takes 12 minutes to sell, and costs $ 1 to deliver. During any week, a salesperson is allowed to draw up to $ 500 worth of A,B,C (at cost) and is allowed delivery expenses not to exceeds $ 75. If a salesperson’s selling time is not expected to exceed 30 hours (1,800 minutes) in a week, and if the salesperson profit (net after all expenses) is $ 1 each on a unit of A and B and $ 2 on a unit of C, what combination of sales of A, B, and C will lead to maximum profit, and what is the maximum profIt?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,