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1. A component called ZK20 is produced at a rate of 10,000 units per day whereas annual demand is 0.6 million units per year. Assume that there are 250 working days in a year. According to the given cost information answer the following questions. (20 points) (Round your answers to 2 digits). Fixed set up cost for a production run $1500 Variable cost of production (per unit) $3.50 Storage/Handling cost 34% of the variable cost Rules: (Answer only 4 parts based on the following rules.) 1. Part a and b are compulsory for everyone. 2. Part c is for the students whose Student ID number's last digit is 0<x< 4. Part d is for the students whose Student ID number's last digit is 5 <x< 9. 3. Parte is for the students whose Student ID number is even. Part fis for the students whose Student ID number is odd. a. What is the optimal production quantity for this component? b. What is the average annual cost of holding and setup? c. What proportion of each production cycle consists of uptime (production part)? d. What proportion of each production cycle consists of downtime (usage part)? e. If the component sells for $3.90 per unit, what is the annual profit of the company? f. If the component sells for $4.20 per unit, what is the annual profit of the company?

1. Consider the following production line consisting of 4 machines: M2 Cinta transportadora Cinta transportadora 0 M 02 M M4 The products are transported to the M1 machine through a conveyor belt according to a Poisson Process with an average time between arrivals of 1 minute and 12 seconds. When machine M1 is busy and a new product arrives it must wait in queue Q1 according to a FIFO discipline. M1 can process an average of 60 jobs per hour, with exponentially distributed individual processing time. After finishing their treatment in M1, the products are sent to finish their process to one of the M2, M3 or M4 machines. If these three machines are busy then the product must wait in queue Q2 (also with FIFO discipline). Service times on M2, M3 and M4 machines are exponentially distributed with an average of 3 minutes. Calculate: The average number of jobs in Q1 and Q2, the expected time a product spends on this production line (time spent on conveyor belts is ignored), and the proportion of time that the production line is idle.

1. Consider the linear programming problem and its optimal tableau: min 3x1 + 4x2 subject to 3x1 + x2 > 4 21 + 2.02 > 4 X1, X2 > 0. 2 X 1 X2 X3 X4 RHS 2 44 0 0 crito - - 5 1 0 X 1 1 0 -- C710 OTTA X 2 0 0 1 1 5 - orico Vio (a) Append an additional constraint x1 + x2 > 3 in the above optimal tableau. Does the original optimal solution remain optimal? (b) Write the dual and find an optimal solution of dual from the above tableu.

1. Consider the job list given in Table A, and assume that all jobs are available at t=0 (i.e. ignore the release times given in the table). Construct job sequences in order to minimize the following objectives. Report mean flow time, number of tardy jobs, and mean tardiness for the constructed sequences. a. Average flow time b. Number of tardy jobs C. Maximum lateness Job Due Date Processing Release Time Time 1 a 10 0 12 b 3 0 10 ? 3 9 d 10 2 14 e 4 8 f 2 5 9 8 4 6 12 h 1 10 15 3 11 15 6 18 Table A. Job List for Welding Operation i j 25

1. Consider. "People running processes based on rules using tools and identify a task or activity within the workplace that reflects this statement. Then comment on: a. The people involved, b. What process are they running? c. What rules are these processes based on? d. What tools are being utilised to complete the tasks or activities?

1. Cover page 2. summary page 3. goals and purpose of the report 4. 5 C's 5. SWOT 6. make a judgement based on findings Environmental Scan This assignment allows you to understand that no business can operate independently of the market, no matter what the size of their market share is. It will allow you to enhance your research skills far beyond using google, help you understand the validity of good data, and give you the experience of conducting simple market and consumer research. This will also be a good practical example of your marketing knowledge to show potential employers (you can also add this assignment into your e-Portfolio at the end of the semester). Word Count: 2000 words A marketing plan is a document that summarises what the marketer has learned about the marketplace and based on this knowledge, proposes marketing strategies and tactics that will achieve the company's marketing objectives. For example: given what we know of the market, our customers and competitors the marketing plan will explain how to bring a new product to market, who to sell it to, what to sell it for, where to sell it and how to promote it. This assignment just covers the first two sections of the marketing plan (environmental analysis and SWOT analysis) - NOT the entire marketing plan. Task Description: Scenario: You are working for a large business consultancy firm. Your firm has just acquired Woolworths Supermarkets as a new client. They are concerned that despite a recent survey of Australian grocery buyers, conducted by Roy Morgan Ltd, which found that although 34% of Woolworths customers said that they would consider buying their groceries online, only 5% of grocery buyers actually shopped online (Roy Morgan, March 25 2019). Your task is to conduct a full environmental analysis for Woolworths as the first part of a marketing plan in order to help Woolworths make informed strategic marketing decisions about how to increase the online part of its business. Note: you are not required to do the full marketing plan - just the Environmental and SWOT analyses. The report back to the senior partners should explain: 1. What are the factors facing Woolworths? 2. What are the factors facing the supermarket industry? 3. Why you think customers are reluctant to buy online (this may take some simple market research)? 4. How these factors can be organised into a SWOT analysis? 5. What are the priorities for Woolworths that result from your analyses? There are a lot of data available if you search for it - your job will be to find, filter and analyse this data and write it up in a clear concise manner. You should consider data from before COVID19 and what has happened since. The big problem for the supermarket industry is to establish whether the recent uptake of on-line grocery sales due to customers staying at home is likely to remain after things get back to normal or will on- line sales slip back to the 5% mark. This report is your opportunity to showcase your knowledge of marketing to the senior management team of your firm.