Last Name ___________________First Name ___________________Section __________MSCI:3000 Operations ManagementInstructor: Patrick JohannsSpring 2017, Sample Exam 1Read Instructions Carefully:1)This examination contains eleven (15) pages including the cover page. 2)It is closed book and notes. 3)You are expected to maintain the Academic Integrity standards of the University of Iowa. Cheating on this exam will result in a score of 0 and you will be reported to the Dean of the Undergraduate Program.4)A sheet of formulas is provided. 5)You are permitted to use a calculator. Smartphones, cellphones, and tablets are not permitted.6)Mark your answers for multiple-choice problems on the scantron sheet provided.7)For short answer questions, show all of your work in the space provided. Write legibly and clearly.8)Return the exam along with the scantron at the end of the time period. 9)Good luck on the exam!10)I certify that I have abided by letter and spirit of the Academic Integrity standardsof the University of Iowa and that all work done on this exam is my own. I have not permitted anyone else to copy my work.(signed) ____________________________________ProblemScoreMaximum possibleMC and T/F (2 points each)50Short Answer/Workout (5 points each)50Total1001
FormulasInventory (I) = Flow Rate (R) * Flow Time (T)Flow Time = $ Inventory / COGSInventory Turns = 1/Flow TimeUtilization = Actual Output / Design CapacityEfficiency = Capacity used / Effective CapacityCapacity = 1 / Processing TimeFlow rate = Minimum(Demand, Process Capacity)Cycle time = 1/Flow rateTime to make Qunits = Q* cycle timeTime to make Q units in an empty system= Time through an empty process + (Q – 1) * cycle timeCosts of direct labor = number of employees * wage rate/flow rateLabor content = sum of the processing timesAverage labor utilization = labor content/(labor content + idle time)Average labor utilization = (labor content/number of employees)/ Cycle timeOverall Equipment Effectiveness = (Value-added time) / (Total available time)Value-added Percentage = Value-added time of a flow unit / Flow timeTakt time = 1/Demand rateTarget manpower = Labor content/Takt timeCapacity = Batch Size/(Total Setup Time + Processing Time * Batch Size)Utilization = Flow rate/Output rate when producingTarget Capacity = Min(demand rate, maximum flow rate of the system)Target Batch Size = Target Capacity * Total Setup Time/(1 – (Target Capacity * Processing Time))Maximum Inventory = Batch Size * (1 - Flow rate * Processing time)Average Inventory = Maximum Inventory/2Number of Kanban cards = (demand during replenishment time + safety stock)/ container sizeDemand during replenishment = replenishment time * demand rateCp=USL−LSL6^σ´X=x1+x2+⋯xnn´X=∑i=1k´XikLCL =´X−3σ√nUCL =´X+3σ√n2
Ri=Max(xi)−Min(xi)´R=∑i=1kRikLCL =D3´RUCL =D4´RMultiple choice are worth 2 points each. Choose the best answer.
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