MGMT 3106: Management Science and Operations Management Question/answer examples Example 1: How many Daejo leaders are located in the state of Texas? Unacceptable answer: 9. Acceptable answer: Currently there are 9 dealers in the state of Texas. Note: Answers need to be presented in a professional and nice fashion Example 2: One of the best sellers at a paint store is an Iron-coat paint. The annual demand is forecasted as 10,000 gallons. The carrying cost is $0.75 per gallon. The ordering cost is $150 per order. How much paint should be ordered each time? Unacceptable answer: 2000. Acceptable answer: The paint store should order 2,000 gallons each time. Calculations below show how the answer was obtained: 2CD 2*150*10,000 0.75 2,000 Note: Answer is professionally presented. Calculation details are shown using Microsoft equation editor. Task: Answer following questions 1. [30 points] Assume that soon after graduation, you plan to start a new service providing business. (e.g, restaurant, lawn-care services, etc.). a. What is the business that you would select? b. Briefly state the mission of your business. Search the internet for mission statements to be inspired. For example, you can say "The mission of my business is providing center your service here to the customers in at c. Briefly discuss how internet and social media can be used to understand the voice of the customer for your business. Your answer should explain how you would understand the customer requirements. d. What are the technical features that you would select for your business? Provide examples to show how you would convert customer requirements into technical features. For example, customer requirement of "tasty pizza" can be converted to technical features: amount of cheese, dough thickness, amount of toppings. Note that "technical features" are measurable. (See the House of Quality section). e Propose an explicit service guarantee for your business. Clearly explain why you Included the features of your service guarantee. Your answer should include what would you do if there is a service failure. 2. [10 points] What is Taguchi loss function? Explain how Taguchi methodology and traditional goal post view of specification are different. Explain how each method addresses the loss of exceeding the specifications. (100-300 words) 3. [10 points). Assume the weight specification for a product (in kilograms) is 3.00 +0.10, and the Taguchi loss function is estimated to be L(x) = 1,500 (x - T). a. Determine the estimated loss per part if the actual process performance is 2.95 kilograms. b. If the actual process performance is 3.04 kilograms, what is the estimated loss? 4. [10 points) A critical part has a manufacturing specification of 4.5 cm +0.10. If this measurement is larger than 4.6 or smaller than 4.4, the product fails at a cost of $150. a. Calculate the k value for Taguchi loss function. What is the Taguchi loss function for this part? b. Using the above Taguchi loss function, determine the estimated loss for when the actual part dimension is 4.46 cm. 5. (10 points) A face mask has three layers, each with different material. Each material can filter the particles, such as dust particles and bacteria. The mask can filter a particle if any one of the three particles can filter the particles. The reliability (ability to filter the smallest particles) of the layers are 70%, 63%, and 65%, respectively. What is the overall reliability of the face mask? Your answer should show all the calculations and answer should be presented as described in the Question/ answer examples (2nd page) 6. [15 points) A COVID-19 test has three major steps. For the test to work properly, each step has to work properly. The individual reliability of the three steps are 0.92, 0.98, and 0.95. a. What is the reliability of the test? Show calculations. b. After a revision of the test procedure, the reliability of the first step was increased to 0.96. The second and third step's reliabilities were unchanged. What is the new reliability of the test? Show calculations. c. What percent improvement in reliability in the second test? (Hint: Calculate the percent increase in reliability compared to the original reliability. You must use the % change formula to calculate the percent improvement). Show calculations. 7 [15 points) Given the following diagram, determine the total system reliability if the individual component reliabilities are: A = 0.80, B = 0.85, C = 0.88, and D = 0.83. (Hint: Use equations 5.2 and 5.3 and note that the reliabilities of the parallel components are different.) A