OPIM101 - Spring 2010 - Exam 1 - solutions

OPIM101 - Spring 2010 - Exam 1 - solutions - University of...

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University of Pennsylvania The Wharton School Department of Operations and Information Management EXAM 1A Solutions : OPIM 101, Spring 2010 Tuesday, March 2 nd , 6:00-8:00pm. Professors Cachon and Savin Section # (201,…,215): _________ Instructor (circle): Hill Saunders Serafini Sodhi Ramachandran Yeh PennCard Last Name: PennCard First Name: Instructions: SHOW ALL OF YOUR WORK on this exam. No credit is given on the quantitative questions unless work is shown. During the exam you may not consult with anyone other than the exam proctor, a professor or recitation instructor. You may use one reference sheet of paper during this exam. Two pieces of paper stapled together is not acceptable. It must not exceed the dimensions 8.5” x 11”. You may include on this sheet any content you wish (on 1 or 2 sides), written in any manner. You cannot share reference sheets with another person during the exam. You may use a calculator on this exam as long as the calculator cannot communicate with another device. Calculators cannot be shared with others. You may not use computers, cell phones or any electronic device that can communicate with another device. There are 30 questions on this exam. No partial credit is given. All correct answers are worth 1 point each. There is no penalty for guessing on qualitative questions. Use pen to write all of your answers. Total score:
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Your initials: _________ Page 2 of 14 (Q1-Q4) Imagine US is a startup that offers high definition 3D prenatal ultrasounds for high-end customers. The service process includes five activities that are conducted in the sequence described below. (The time required for each activity is shown in parentheses): Activity 1: Welcome a patient and explain the procedure. (8 minutes) Activity 2: Prep the patient (e.g., show them to the room, apply ultrasound gel). (5 minutes) Activity 3: Take images. (14 minutes) Activity 4: Analyze images. (12 minutes) Activity 5: Discuss diagnostic with patient. (16 minutes) At each location there are employees (servers) S1, S2, and S3. The assignment of tasks to servers is the following: S1 does Activity 1. S2 does Activities 2 and 3. S3 does Activities 4 and Activity 5. Q1. What is the capacity of this process (in customers per hour )? Q2. Suppose 2 patients arrive every hour on average. Ignoring any “start of day” or “end of day” effects, what is the utilization of Server 1 ( as a % )? Q3. Suppose each activity can be done by any server and any server can do any set of activities. However, each activity is done by only one server. For example, a feasible assignment includes: S1 does activities 1 and 5, S2 does activities 2 and 4, and S3 does activity 3. Of course, the original assignment of servers to activities is also feasible. What is the maximum capacity of the process (in customers per hour )? Answer: the activity time at S1, S2, and S3 is 8 minutes, 19 minutes,
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OPIM101 - Spring 2010 - Exam 1 - solutions - University of...

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