COMM 205 Fall 2023 Introduction to Operations Management Assignment 1 Competitiveness, Strategic Planning, Productivity and Demand Forecasting Instructor: Sattar Safaei Date Due: Sunday, OCT 01, 11:59pm Total Marks: 30 General Instructions • This assignment is individual work. You may discuss questions and problems with anyone, but the work you hand in for this assignment must be your own work. • Assignments must be submitted to Canvas. • Always include the following identification in your solutions: your name, NSID, student ID, instructor’s name, course name, and course section number. • For numerical calculations, use precision of three decimal points. • Evaluation rubric is given for some of the questions, so you can learn how they are marked. It will not be published for all the questions. • Text document submissions (NOT HANDWRITTEN) for questions must be one of these file formats: text-only (.doc,.docx), or PDF (.pdf). • Canvas will not let you submit work after the assignment deadline. It is advisable to hand in each answer that you are happy with as you go. You can always revise and resubmit as many times as you like before the deadline; only your most recent submission will be graded. What to Hand In Hand in your answers in a file called Assignment#1 on the course website. Allowed file formats are plain text (.txt), and PDF (.pdf). Be sure to include your identification (see "General Instructions") at the top of your document. Documents in unapproved formats that cannot be opened conveniently will not be graded and will receive 0 points. 1|P a g e COMM 205 Fall 2023 Introduction to Operations Management Question 1 (2 points): Problem: A company produced 400 hoses last week using 8 workers, and 320 hoses this week using 5 workers. In which period was worker productivity higher? Evaluation: • 0 marks for Nothing submitted, or document cannot be opened. • -1 mark for missing identification in the document (name, NSID, student ID) • 2 marks for correct content. Mavis Nguyen/ had452/ 11347793/ Sattar Safaei/ COMM 205-03 ๏ท Last week - Total measure: 400 8 = 50 hoses per worker ๏ท This week: - Total measure: 320 5 = 64 โ๐๐ ๐๐ ๐๐๐ ๐ค๐๐๐๐๐ ๏ฐ Worker productivity is higher in this week 2|P a g e COMM 205 Fall 2023 Introduction to Operations Management Question 2 (3 points): Problem: IT manager that installs LAN cables has tracked the team’s output over the past several weeks. Observations are as follows: Calculate the labor productivity for each week. Based on your calculations, what can you conclude about team size and productivity? Evaluation: • • • • 0 marks for Nothing submitted, or document cannot be opened. -1 mark for missing identification in the document (name, NSID, student ID) 1 mark for correct productivity with correct units. 2 marks for conclusion statement. Mavis Nguyen/ had452/ 11347793/ Sattar Safaei/ COMM 205-03 ๏ท ๏ท ๏ท ๏ท ๏ท ๏ท ๏ฐ Week 1 = 960/4 = 240 square meters per worker Week 2 = 709/3 = 236.333 square meters per worker Week 3 = 968/4 = 242 square meters per worker Week 4 = 506/2 = 253 square meters per worker Week 5 = 696/3 = 232 square meters per worker Week 6 = 580/2 = 290 square meters per worker The larger the team size is, the more productive it gets. 3|P a g e COMM 205 Fall 2023 Introduction to Operations Management Question 3 (2 points): Problem: A Production unit produces 2,048 units. The input costs for this production are: Labor and staff: $1,080 Materials: $526 Machine overhead: $2,400 What is the productivity? Mavis Nguyen/ had452/ 11347793/ Sattar Safaei/ COMM 205-03 - Productivity = 2048 1080+526+2400 = 0.511 ๐ข๐๐๐ก๐ ๐๐๐ $ 4|P a g e COMM 205 Fall 2023 Introduction to Operations Management Question 4 (3 points): Problem: Assume 40-hour weeks and an hourly wage rate of $15. Overhead is 1.5 times weekly labor cost. Material cost is $10 per kg. Calculate the multi-factor productivity measure for each week below. What do the productivity figures suggest? Also calculate Productivity growth Week Output (units) Workers Material (kg) 1 1000 6 45 2 1338 7 46 Evaluation: • • • • 0 marks for submitting nothing and/or files that cannot be opened. -1 mark for missing identification (name, NSID, student number) 1 mark for correct productivity growth calculation 2 marks for suggestion about productivity figures Mavis Nguyen/ had452/ 11347793/ Sattar Safaei/ COMM 205-03 ๏ท Week 1: 1000 - Multi-factor productivity = (40×15×6)+(45×10)+1.5(40×15×6) = 0.106 ๐ข๐๐๐ก๐ ๐๐๐ $ ๏ท Week 2: 1338 - Multi-factor productivity = (40×15×7)+(46×10)+1.5(40×15×7) = 0.122 ๐ข๐๐๐ก๐ ๐๐๐ $ ๏ฐ Productivity Growth = 0.122−0.106 0.106 = 0.151 5|P a g e COMM 205 Fall 2023 Introduction to Operations Management Question 5 (5 points): Problem: Observed weekly sales of a hammer at a town hardware store over eight-weeks have been 14, 9, 30, 22, 34, 12, 19, 23. a) Find 3 period Moving Averages (MA-3) forecasts for weeks 4 through 9. b) Find the Exponential Smoothing forecast for week 9 with a smoothing constant of๏ ๏ก= 0.15. Week Actual Demand 1 2 3 4 5 6 7 8 9 14 9 30 22 34 12 19 23 - MA-3 Forecast ES(0.15) Forecast Evaluation: • • • • 0 marks for submitting nothing and/or files that cannot be opened. -1 mark for missing identification (name, NSID, student number) 2 marks for correct calculation (a) 3 marks for correct calculation (b) Mavis Nguyen/ had452/ 11347793/ Sattar Safaei/ COMM 205-03 Week Actual Demand MA-3 Forecast ES(0.15) Forecast 1 14 2 9 14 3 30 0.15(9)+0.85(14)=13.25 4 22 17.67 0.15(30)+0.85(13.25)=15.76 5 34 20.33 0.15(22)+0.85(15.76)=16.70 6 12 28.67 0.15(34)+0.85(16.70)=19.30 7 19 22.67 0.15(12)+0.85(19.30)=18.21 8 23 21.67 0.15(19)+0.85(18.21)=18.33 9 - 18 0.15(23)+0.85(18.33)=19.03 6|P a g e COMM 205 Fall 2023 Introduction to Operations Management Question 6 (5 points): Problem: The Best Buy has recorded sales (in units) for three products during the last 15 workdays: Workday 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 Apple Laptop 32 36 34 36 37 32 36 38 31 33 37 33 39 36 35 Apple Watch 22 21 23 23 26 27 27 29 28 30 31 32 33 34 37 Apple Tablet 46 27 28 24 23 49 30 21 15 19 48 27 28 25 23 1. Plot the three time series variables to determine their pattern (using Excel). 2. Forecast workday 16 sales for each of the products using an appropriate naïve method. And justify each calculation using naïve method (in each case). Evaluation: • • • • • • 0 marks for Nothing submitted, or document cannot be opened. -1 mark for missing identification in the document (name, NSID, student ID) 1 mark for correct plotting (a). 1 mark for correct pattern 1 mark for justification of method choice. 2 marks for correct forecast for day 16 sales. Mavis Nguyen/ had452/ 11347793/ Sattar Safaei/ COMM 205-03 b) Workday 16: - Apple Laptop = ๐น๐ก = ๐ด๐ก−1 => ๐น16 = ๐ด15 = 37 (Stable) - Apple Watch = ๐น๐ก = ๐ด๐ก−1 + (๐ด๐ก−1 − ๐ด๐ก−2 ) => ๐น16 = ๐ด15 + (๐ด15 − ๐ด14 ) => 37 + (37 − 34) = 40 (Trend) - Apple Tablet = ๐น๐ก = ๐ด๐ก−๐ => ๐น16 = ๐ด11 = 48 (Seasonality) 7|P a g e COMM 205 Fall 2023 Introduction to Operations Management Question 7 (3 points): Problem: Given the quarterly demand from 2017 to 2022, forecast the quarterly demand in 2023 using Annual averages method. Period 1 2 Year 2017 2017 Quarter 1 2 Sales (Actual Demand) 362 385 3 4 2017 2017 3 4 432 341 5 6 2018 2018 1 2 382 409 7 8 2018 2018 3 4 498 387 9 10 2019 2019 1 2 473 513 11 12 2019 2019 3 4 582 474 13 14 2020 2020 1 2 544 582 15 16 2020 2020 3 4 681 557 17 18 2021 2021 1 2 628 707 19 20 2021 2021 3 4 773 592 21 22 2022 2022 1 2 627 725 23 2022 3 854 8|P a g e COMM 205 Fall 2023 Introduction to Operations Management 24 2022 4 25 26 2023 2023 1 2 27 28 2023 2023 3 4 661 NOTE: Please show step by step calculation. Keep 2 decimal places. Mavis Nguyen/ had452/ 11347793/ Sattar Safaei/ COMM 205-03 2017 2018 2019 2020 2021 2022 1 362 382 473 544 628 627 2 385 409 513 582 707 725 3 432 498 582 681 773 854 4 341 387 474 557 592 661 Total 1,520 1,676 2,042 2,364 2,700 2,867 Average 1,520/4 = 380 1,676/4 = 419 2,042/4 = 510.5 2,364/4 = 591 2,700/4 = 675 2,867/4 = 716.75 Quarter Average Ratio Ratio 1 362/380 = 0.95 382/419 = 0.91 473/510.5 = 0.93 544/591 = 0.92 628/675 = 0.93 627/716.75 = 0.87 0.92 2 385/380 = 1.01 409/419 = 0.98 513/510.5 = 1.00 582/591 = 0.98 707/675 = 1.05 725/716.75 = 1.01 1.01 3 432/380 = 1.14 498/419 = 1.19 582/510.5 = 1.14 681/591 = 1.15 773/675 = 1.14 854/716.75 = 1.19 1.16 4 341/380 = 0.90 387/419 = 0.92 474/510.5 = 0.93 557/591 = 0.94 592/675 = 0.88 661/716.75 = 0.92 0.92 9|P a g e COMM 205 Fall 2023 Introduction to Operations Management ๏ท ๏ท Equation: 289.4x + 1181.9 Annual demand (2023): 289.4(7) + 1181.9 = 3207.7 Average quarterly demand (2023): 3207.7/4 = 801.93 Quarter Demand in 2023 1 0.92 x 801.93= 737.78 2 1.01 x 801.93= 809.94 3 1.16 x 801.93= 930.23 4 0.92 x 801.93= 737.78 Question 8 (2 points): Problem: The manager of ABC Manufacturing uses two different forecasting techniques to forecast sales of new fittings. Using MAD as a criterion, which technique produces more accurate forecasts? Month 1 2 3 4 5 6 Demand 492 470 485 493 498 492 Technique A forecast 488 484 480 490 497 493 Technique B forecast 495 482 478 488 492 493 NOTE: Keep 2 decimal places. Mavis Nguyen/ had452/ 11347793/ Sattar Safaei/ COMM 205-03 ๏ท MAD = Technique A forecast: |๐๐๐−๐๐๐|+|๐๐๐−๐๐๐|+|๐๐๐−๐๐๐|+|๐๐๐−๐๐๐|+|๐๐๐−๐๐๐|+|๐๐๐−๐๐๐| ๐ = ๐. ๐๐ 10 | P a g e COMM 205 Fall 2023 Introduction to Operations Management ๏ท MAD = Technique B forecast: |๐๐๐−๐๐๐|+|๐๐๐−๐๐๐|+|๐๐๐−๐๐๐|+|๐๐๐−๐๐๐|+|๐๐๐−๐๐๐|+|๐๐๐−๐๐๐| ๐ = ๐. ๐๐ ๏ฐ Technique A produces more accurate forecast because the technique with the lowest MAD is more accurate Question 9 (2 points): Problem: ES forecasting is like operating a vehicle or truck. Compare and contrast: driving a truck and using the exponential smoothing technique. Mavis Nguyen/ had452/ 11347793/ Sattar Safaei/ COMM 205-03 - Comparision: ๏ท Both entail making choices based on prior observations: When operating a truck, you must make choices based on prior observations and driving experiences. Similar to this, exponential smoothing predicts future values based on prior data. Both demand a certain level of aptitude and comprehension: operating a truck necessitates familiarity with safety procedures, vehicle control, and traffic laws. The basic ideas and parameters of exponential smoothing must also be understood before applying it. ๏ท ๏ท ๏ท ๏ท Contrast: Task: Forecasting using exponential smoothing is a statistical approach, but driving a truck literally includes operating a vehicle and navigating through traffic. Application domain: While exponential smoothing is utilized in many other industries, including business, economics, and finance, driving a truck is relevant in transportation and logistics. Complexity: Due to considerations including traffic conditions, road dangers, and vehicle maintenance, driving a truck can be more complicated and difficult. On the other hand, once the basic ideas are grasped, exponential smoothing is a much easier procedure. 11 | P a g e COMM 205 Fall 2023 Introduction to Operations Management Question 10 (3 points): Mavis Nguyen/ had452/ 11347793/ Sattar Safaei/ COMM 205-03 Problem: In the beginning of the current millennium When new players came into the market, and cheaper air compressors were offered in the market, ATLAS COPCO needed to fight in the red ocean of cheap compressors, but they initiated a new market segment and customers. They offered what exactly their customers needed. They want to move to the total customer solution in the Delta Model, With the goal of working not in the red ocean of cheap compressors and opening a new market segment and customers, and working collaboratively with their customers, what could be the strategies and tactics and objectives for ATLAS COPCO. 1. A customer-focused strategy: - Strategy: Make the client the focal point of all actions and choices. - Tactic: +) To pinpoint the precise demands of your audience, do in-depth market research and consumer surveys. +) Create specialized solutions that are suited to the individual needs of each customer. - Objective: +) Increase client loyalty and retention rates. +) Achieve a high customer satisfaction rating. 12 | P a g e