Mathematics > QUESTIONS & ANSWERS > Questions and Answers > MAN5502 Exam 1 Solutions_University of Florida MAN 5502. Score 100% (All)
1) Consider the following four step process: A B C D The following data are available for the four steps: A B C D Activity time per unit (min) 0.25 0.33 0.2 0.5 Capacity per worker (units/min) 4 ... 3 5 2 Number of workers 2 3 2 4 Suppose the steps in activity D are made easier, so the activity time per unit in step D is reduced by 50% (to 0.25 min per unit). If the assignment of workers to steps remains the same, by how much does the capacity of the entire process increase in units per min? (10 pts) 2) Panini, a popular sandwich shop, offers 3 types of sandwiches: Grill vegetables, grilled chicken and pastrami which have a combined demand of 40 sandwiches per hour, distributed as shown in the table below: (10 pts) Grilled Vegetables Grilled Chicken Pastrami Demand per hour 25 15 10 There are up to five steps in the process of making sandwiches, listed below with activity times. Only 50% of customers want their sandwich toasted, no matter which sandwich is ordered. Step Grilled Vegetables Grilled Chicken Pastrami Cut bread .75 minutes .75 minutes .75 minutes Grill 1.4 minutes 1.4 minutes - Slice meat - - 3 minutes Toast 2 minutes 2 minutes 2 minutes Wrap .5 minutes .5 minutes .5 minutes Suppose Panini employs 1 worker at each step. What step has the highest implied utilization of this process? 3) Furniture Face Lift refinishes old wood furniture. Their process for refinishing chairs has 8 workers and 4 stations. Each chair starts at the Stripping station, then goes to Priming, then to Painting and finally to Inspection. Where there are multiple workers within a station, each worker works independently on his/her own chair. Assume inventory buffers are allowed between each station. Station Staffing Processing time (hours per chair per worker) Stripping 3 2.5 Priming 2 1.5 Painting 2 1.75 Inspection 1 0.8 a) What is the maximum number of chairs per hour that can be produced? Assume they start the day with inventory at each station to work on. (10 pts) b) Suppose at the start of the day there is no inventory of chairs in the shop. That is, there are no chairs within any of the stations or between them in any MAN 5502 Spring 2013 buffer. A truck loaded with 15 chairs arrives. How many hours will it take them to complete these 15 chairs? (5 pts) c) Suppose now that each worker is trained to do all tasks and each worker works on a chair from start to finish, i.e., each worker does Stripping, Priming, Painting and Inspection. What is the maximum capacity of the process in chairs per hour? (5 pts) Yum and Yee Food Truck 4) The Yum and Yee food truck near the business school serves customers during lunch hour by taking orders and making fresh batches of stir fry. Customers have only one choice during the lunch hour, since the objective is to maximize the number of customers served. Assume that each customer places just one lunch order, and all lunch orders are the same size –one unit of stir-fry. The stir fry cooking works in this manner. First, a batch of orders is cooked in a wok by one person. The cooking depends upon the number of orders in the batch. The time to cook just one order is 3 minutes. For each additional order in the batch, it takes 0.5 minutes more to cook. Thus, cooking two orders in a batch takes 3.5 minutes, cooking three orders takes 4 minutes, and so on. The other process is bagging and accepting payments (done by a separate person), which takes 0.80 minutes per order. a) If Yum and Yee operates with batch sizes of 8 units, what is their process capacity (in orders per minute)? (10 pts) b) Calculate the batch size (in orders) that will maximize the overall flow rate (assume there is ample demand)? Do NOT round the batch size (i.e., assume for this calculation that a non-integer batch size is possible). (5 pts) Old City Photographics 5) Located alongside a cobblestoned street in Old City, Old City Photographics (OCP) specializes in the processing of the traditional 35mm negative film, a once dominant photographic medium now in decline due to the popularity of digital photography. OCP offers three packages to their customers. With the standard package, the customer gets a set of 6”x4” prints for $19.99. The deluxe package adds to the standard package a CDThis study source was downloaded by 100000857952895 from CourseHero.com on 01-05-2023 23:17:41 GMT -06:00 ROM of high resolution scans of the pictures for $29.99. Finally, the $39.99 pro package is similar to the deluxe package in that it comes with a CD-ROM, although the customer gets a contact print rather than a set of prints. (A contact print is an 8”x10” sheet of photographic paper that has all pictures on the roll of film printed next to each other at reduced dimensions and is used as an index.) The workflow for OCP is shown below (s=standard, d=deluxe, p=pro): OCP is operated by one person at every station and on average, OCP receive 13 jobs per hour consisted of 44% standard, 37% deluxe and 19% pro. a) What is the implied utilization (ratio of workload relative to capacity) at each of the four stations? (10 points) b) Which of the following statement best describes OCP’s process? (5 Points) a. The process is demand-constrained b. The process is capacity-constrained and “process film” is the bottleneck c. The process is capacity-constrained and “scan film” is the bottleneck d. The process is capacity-constrained and “make 6”x4” prints” is the bottleneck e. The process is capacity-constrained and “make contact print” is the bottleneck 6) Joe needs to purchase malt for his micro-brew production. His supplier charges $35 per delivery (no matter how much is delivered) and the malt cost $1.20 per gallon. Joe’s annual holding cost per unit is 35% of the dollar value of the unit. Joe uses 5000 gallons of malt per week. a) How many gallons should Joe order from his supplier with each order (10 pts)? [Show More]
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