UNIVERSITY OF TECHNOLOGY, JAMAICA COLLEGE: BUSINESS AND MANAGEMENT SCHOOL: BUSINESS ADMINISTRATION ASSIGMENT/TEST 1: Semester 2 2022/2023 Module Name: Supply Chain Management Module Code: POM 4010 Theory/ Practical: Theory Groups: BBA4 Issue Date: March 02, 2023 Due Date INSTRUCTIONS: This exam contains 3 questions. You are required to do ALL questions You have 2 hours to complete and upload this exam. Completed scripts must be uploaded to Moodle in the drop box labeled with your TUTOR’S NAME Responses should be done in the exam paper, below each question Answers should be typed using 12 point font in Microsoft Word Drawings and graphs may be done by hand and a picture uploaded in the required area of the question No pdf files will be accepted This is an individual assignment. Students who cheat by exchanging answers will be penalized Due Date and time: Late uploads will not be accepted If you encounter problems with submission of your exam papers. You should screenshot the error page from Moodle. Included in that screenshot should be your name and/or ID number Please Ensure your Name and ID number as well as your TUTOR’s name is written on your response paper in the space provided above QUESTION 1 (20 marks) a) Elite Furnishings of Jamaica owns and operates twelve Furniture Distribution Centers across The Caribbean Islands. There signature item is a Mahogany textured kitchen counter accompanied by a Granite counter top. Sales (X, in millions of dollars) is related to Profits (Y, in hundreds of thousands of dollars) by the regression equation Y = 4.21 + 0.5 X. Determine the forecast of profit for a store with sales of $20 million and $30 million respectively. (4 marks) Y = 4.21 + 0.5 X. where X=Sale When X=$20 million Y=4.21+0.5*20 =14.21 Million or 14,210,000 When X=$30 million Y=4.21+0.5*30 =19.21 Million or 19,210,000 b) The Forecasting unit at a local department store has tracked the sales of a product over the last ten weeks and has obtained data as shown in table 1. i Forecast demand using exponential smoothing with an alpha of 0.4, and an initial forecast of 28.0 for period 1. (8 marks) ii Calculate the MAD . (3 marks) 32.03/9=3.56 iii If the manager at Elite believes that an Alpha value of 0.3 would be more appropriate. What recommendations would you give the manager? (5 marks) Table 1 Period Demand 1 24 2 23 3 26 4 36 5 26 6 30 7 32 8 26 9 25 10 28 QUESTION 2 (10 marks) Discuss the differences of push and pull supply chain processes. QUESTION 3 (20 marks) Based on the data collected from 30 shops island-wide by the producers of a new brand of vegetable loaf as at December 2010, the regression analysis was run which produced the summary output below: SUMMARY OUTPUT Regression Statistics Multiple R 0.95241325 7 R Square 0.90709101 2 Adjusted R Square 0.67542505 8 Standard Error 1.76713117 7 Observations 30 ANOVA Df SS MS F Significance F 5.78000 0 0.00024154 6 P-value Lower 95% 4 135.9587 33.9896 8 Residual 25 46.84129 3.12275 3 Total 29 182.8 Regression Coefficients Standard Error t Stat Intercept -4,650.0001 2.002465 1.07E07 X Variable 1 -20.0005248 19.50003 0.00219 2 -0.1340466 X Variable 2 30.0001546 1.400000 0.67158 2 -0.2092916 -0.12816526 -0.02444292 X Variable 3 6.95000038 0.080001 0.00975 2 X Variable 4 0.3000075 0.220010 0.23738 1 Given: Q = Quantity sold per month X1 P(in cents) = Price of the product = 900 X2 Py (in cents) = Price of leading competitor’s product = 850 20.4256009 X3 I (in dollars) = per capita income of the persons in the area in which the shops are located = 16,500. X4 E (in dollars) = Monthly advertising expenditure = 10,000 Using the information above, a) Develop the linear regression model for the Quantity of Vegetable Loaves demand per month. b) What is the quality of the model (estimator) developed? c) What is the relationship and the strength of the relationship between Demand for the Vegetable Loaves and the Independent Variables as a group? d) Compute the t-statistics for each variable and state whether it is statistically significant at the 5% level. e) Forecast the Demand for Vegetable Loaves using the model developed in part a), based on the given information. End of Test