Practical Management Science
6th Edition
ISBN: 9781337406659
Author: WINSTON, Wayne L.
Publisher: Cengage,
expand_more
expand_more
format_list_bulleted
Concept explainers
Question
Chapter 4, Problem 98P
Summary Introduction
To determine: The way the company can maximize the profit made during the next six months.
Linear programming:
It is a mathematical modeling procedure where a linear function is maximized or minimized subject to certain constraints. This method is widely useful in making a quantitative analysis which is essential for making important business decisions.
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solution
Students have asked these similar questions
A machine part to be fabricated may be made from alloy of either of two metals. There is an order for 10,000 units. Metal A costs 3 pesos per kg, while Metal B costs 9 pesos per kg. If Metal A is used, the material per unit weighs 110 grams; for metal B, 30 grams. When metal A is used, 50 units can be produced per hour; for metal B, 80 units per hour. Metal B fabrication requires the aid of a tool costing P1,000, which will be useless after the 10,000 units are finished. The machine operator's wage is P50 per hour. If all other costs are identical, determine which material will be more economical to finish the 10,000-unit order. How much is the total cost difference between the use of metal A and metal B?
Mack's guitar fabrication shop produces low cost, highly durable guitars for beginners. Typically, out of the 100 guitars that begin production each month, only 82 percent are considered good enough to sell. The other 18 percent are scrapped due to quality problems that are identified after they have completed the production process. Each guitar sells for $260. Because some of the production process is automated, each guitar only requires 88 labor hours. Each employee works an average of 160 hours per month. Labor is paid at $10 per hour, materials cost is $42 per guitar, and overhead is $4,200.
a. The labor productivity ratio for Mack's guitar fabrication shop is $26.65 per hour.
b. The multifactor productivity ratio for Mack's guitar fabrication shop is (Enter your response rounded to two decimal places.)
Tyler bakes Cookies (C) and Breads (B) with the help of two ovens in his little bakery. The time taken by Oven A to bake each cookie batch is 14 minutes and the time taken by Oven B is 12 minutes. The time taken by Oven A to bake a batch of bread is 16 minutes and the time taken by Oven B is 17 minutes. Each week both Ovens can be used for 50 hours each to bake Cookies and Breads. The rest of the time is used for baking other products. Moreover, Tyler starts each week with a stock of 25 batches of Cookies and 30 batches of Breads because the Cookies and Breads he produces can be considered to be “fresh” for a maximum of 2 weeks. There is an average weekly demand of 70 batches of Cookies and 50 batches of Breads. For each batch of Cookies, Tyler makes $30 in profit and for each batch of Breads Tyler makes $25 in profit. If there are any “close to losing freshness” goods at the end of the week, Tyler sells them at heavily discounted prices on weekends with a profit of $5 per batch of…
Chapter 4 Solutions
Practical Management Science
Ch. 4.2 - Prob. 1PCh. 4.2 - Prob. 2PCh. 4.2 - Prob. 3PCh. 4.2 - Prob. 4PCh. 4.2 - Prob. 5PCh. 4.2 - Prob. 6PCh. 4.3 - Prob. 7PCh. 4.3 - Prob. 8PCh. 4.3 - Prob. 9PCh. 4.3 - Prob. 10P
Ch. 4.3 - Prob. 11PCh. 4.3 - Prob. 12PCh. 4.4 - Prob. 13PCh. 4.4 - Prob. 14PCh. 4.4 - Prob. 15PCh. 4.4 - Prob. 16PCh. 4.4 - Prob. 17PCh. 4.4 - Prob. 18PCh. 4.4 - Prob. 19PCh. 4.5 - Prob. 20PCh. 4.5 - Prob. 21PCh. 4.5 - Prob. 22PCh. 4.5 - Prob. 23PCh. 4.5 - Prob. 24PCh. 4.5 - Prob. 25PCh. 4.6 - Prob. 26PCh. 4.6 - Prob. 27PCh. 4.6 - Prob. 28PCh. 4.6 - Prob. 29PCh. 4.7 - Prob. 30PCh. 4.7 - Prob. 31PCh. 4.7 - Prob. 32PCh. 4.7 - Prob. 33PCh. 4.7 - Prob. 34PCh. 4.7 - Prob. 35PCh. 4.7 - Prob. 36PCh. 4.7 - Prob. 37PCh. 4.7 - Prob. 38PCh. 4.7 - Prob. 39PCh. 4.7 - Prob. 40PCh. 4.8 - Prob. 41PCh. 4.8 - Prob. 42PCh. 4.8 - Prob. 43PCh. 4.8 - Prob. 44PCh. 4 - Prob. 45PCh. 4 - Prob. 46PCh. 4 - Prob. 47PCh. 4 - Prob. 48PCh. 4 - Prob. 49PCh. 4 - Prob. 50PCh. 4 - Prob. 51PCh. 4 - Prob. 52PCh. 4 - Prob. 53PCh. 4 - Prob. 54PCh. 4 - Prob. 55PCh. 4 - Prob. 56PCh. 4 - Prob. 57PCh. 4 - Prob. 58PCh. 4 - Prob. 59PCh. 4 - Prob. 60PCh. 4 - Prob. 61PCh. 4 - Prob. 62PCh. 4 - Prob. 63PCh. 4 - Prob. 64PCh. 4 - Prob. 65PCh. 4 - Prob. 66PCh. 4 - Prob. 67PCh. 4 - Prob. 68PCh. 4 - Prob. 69PCh. 4 - Prob. 70PCh. 4 - Prob. 71PCh. 4 - Prob. 72PCh. 4 - Prob. 73PCh. 4 - Prob. 74PCh. 4 - Prob. 75PCh. 4 - Prob. 76PCh. 4 - Prob. 77PCh. 4 - Prob. 78PCh. 4 - Prob. 79PCh. 4 - Prob. 80PCh. 4 - You want to take out a 450,000 loan on a 20-year...Ch. 4 - Prob. 82PCh. 4 - Prob. 83PCh. 4 - Prob. 84PCh. 4 - Prob. 85PCh. 4 - Prob. 86PCh. 4 - Prob. 87PCh. 4 - Prob. 88PCh. 4 - Prob. 89PCh. 4 - Prob. 90PCh. 4 - Prob. 91PCh. 4 - Prob. 92PCh. 4 - Prob. 93PCh. 4 - Prob. 94PCh. 4 - Prob. 95PCh. 4 - Prob. 96PCh. 4 - Prob. 97PCh. 4 - Prob. 98PCh. 4 - Prob. 99PCh. 4 - Prob. 100PCh. 4 - Prob. 101PCh. 4 - Prob. 102PCh. 4 - Prob. 103PCh. 4 - Prob. 104PCh. 4 - Prob. 105PCh. 4 - Prob. 106PCh. 4 - Prob. 107PCh. 4 - Prob. 108PCh. 4 - Prob. 109PCh. 4 - Prob. 110PCh. 4 - Prob. 111PCh. 4 - Prob. 112PCh. 4 - Prob. 113PCh. 4 - Prob. 114PCh. 4 - Prob. 115PCh. 4 - Prob. 116PCh. 4 - Prob. 117PCh. 4 - Prob. 118PCh. 4 - Prob. 119PCh. 4 - Prob. 120PCh. 4 - Prob. 121PCh. 4 - Prob. 122PCh. 4 - Prob. 123PCh. 4 - Prob. 124PCh. 4 - Prob. 125PCh. 4 - Prob. 126PCh. 4 - Prob. 127PCh. 4 - Prob. 128PCh. 4 - Prob. 129PCh. 4 - Prob. 130PCh. 4 - Prob. 131PCh. 4 - Prob. 132PCh. 4 - Prob. 133PCh. 4 - Prob. 134PCh. 4 - Prob. 135P
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
- fi Auto mobile company manufactures cars and trucks. Each vehicle must be processed in the paint shop and body assembly shop. If the paint shop were only painting trucks, then 80 per day could be painted. If the paint shop were only painting cars, then 120 per day could be painted. If the body shop were only producing cars, then it could process 100 per day. If the body shop were only producing trucks, then it could process 100 per day. Each truck contributes GHS60,000 to profit, and each car contributes GHS40,000 to profit. Use linear programming to determine a daily production schedule that will maximize the company’s profits.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_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 82 percent are considered good enough to sell. The other 18 percent are scrapped due to quality problems that are identified after they have completed the production process. Each guitar sells for $240. Because some of the production process is automated, each guitar only requires 10 labor hours. Each employee works an average of 160 hours per month. Labor is paid at $10 per hour, materials cost is $40 per guitar, and overhead is $3,800. Part 2 a. The labor productivity ratio for Mack's guitar fabrication shop isarrow_forward
- A manager hires labor and rents capital equipment in a very competitive market. Currently the wage rate is $7 per hour and capital is rented at $1 per hour. If the marginal product of labor is 65 units of output per hour and the marginal product of capital is 55 units of output per hour, should the firm increase, decrease, or leave unchanged the amount of capital used in its production process? O The firm should decrease capital. O The firm should leave capital unchanged. O The firm should increase capital.arrow_forwardAssuming 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?arrow_forwardEasy Moving, a moving company, is seeking outside advice from a consultant (you) about the appropriate selection measures to use to analyze job candidates. The position that the company most often hires for is a Driver/Mover. Individuals in this job must be able to drive long hours, and lift and carry heavy objects for long periods of time. When people are moving from one home to another they contact Easy Moving to take care of relocating all of their belongings. The people responsible for the move are the Drivers/Movers. Because driving a truck is an essential function of the job, individuals must not only be physically capable of driving, but also must have an impeccable driving record. Driving a truck can be considered a safety hazard if the individuals were not in the right frame of mind to be a good driver. Easy Moving should keep these things in mind when analyzing applicants. Additionally, individuals applying for a Driver/Mover position with Easy Moving must have the physical…arrow_forward
- There are 10 apples in a basket Each apple has 4 worms. HOW MANY Worms do the apples have have in allarrow_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_forwardThere is an upstream Picking department that feeds two downstream Packing departments: Pack Singles and Pack Multis. Those Packing departments feed to a Shipping department that loads the outgoing trucks. 40% of your Pick volume goes to Pack Singles and has a packing rate of 104 units per labor hour (uph). 60% of the Pick volume goes to Pack Multis and has a pack rate of 215 units per labor hour. Your pickers pick both Single and Multi items throughout the day at an overall average rate of 114 units per labor hour. All units that are packed in both processes go through the Ship process at a rate of 570 units per hour. You have 102 people today for all 4 departments and you absolutely must pack 47,880 units in Pack Multis Items to meet a customer promise metric. How do you allocate labor to balance the flow in your department if you work a 10 hour shift? Do not assume breaks or lunches in your answer. Redirect 1: You now need to process all of the Pack Singles Volume in the first 5…arrow_forward
- A retail store sold in the month of April 5,000 products that produced $45,000 in sales. In the month of May the company sold 6,000 products. The store workforce consists of four full-time workers who work 40-hour week. In April the store also had seven part-time workers at 10 hours per week, and in May the store had nine part-timers at 15 hours per week (assume four weeks in each month). Using sales dollars as the measure of output (assume the price of the product was the same for both months), what is the percentage change in labor productivity from April to May? Answer: 2.arrow_forwardAn order for 200 units of a product is processed on work centers A and B. The set up time on A is 45 minutes and the run time is 5 minutes per piece. The set up time on B is 40 minutes and the run time is 8 minutes per piece. The wait time between the two operations is 2 hours. The move time between A and B is 15 minutes. Wait time after operation B is 1 hour and the move time into stores is 50 minutes. There is no queue at either work station. Calculate the total manufacturing lead time for the order.arrow_forwardThere 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…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,
Operations ManagementOperations ManagementISBN:9781259667473Author:William J StevensonPublisher:McGraw-Hill Education
Operations and Supply Chain Management (Mcgraw-hi...Operations ManagementISBN:9781259666100Author:F. Robert Jacobs, Richard B ChasePublisher:McGraw-Hill Education
Purchasing and Supply Chain ManagementOperations ManagementISBN:9781285869681Author:Robert M. Monczka, Robert B. Handfield, Larry C. Giunipero, James L. PattersonPublisher:Cengage Learning
Production and Operations Analysis, Seventh Editi...Operations ManagementISBN:9781478623069Author:Steven Nahmias, Tava Lennon OlsenPublisher:Waveland Press, Inc.
Practical Management Science
Operations Management
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:Cengage,
Operations Management
Operations Management
ISBN:9781259667473
Author:William J Stevenson
Publisher:McGraw-Hill Education
Operations and Supply Chain Management (Mcgraw-hi...
Operations Management
ISBN:9781259666100
Author:F. Robert Jacobs, Richard B Chase
Publisher:McGraw-Hill Education
Purchasing and Supply Chain Management
Operations Management
ISBN:9781285869681
Author:Robert M. Monczka, Robert B. Handfield, Larry C. Giunipero, James L. Patterson
Publisher:Cengage Learning
Production and Operations Analysis, Seventh Editi...
Operations Management
ISBN:9781478623069
Author:Steven Nahmias, Tava Lennon Olsen
Publisher:Waveland Press, Inc.