# Operations Management Review Questions

Topics: Exponential smoothing, Arithmetic mean, Average Pages: 5 (957 words) Published: April 18, 2013
INTRODUCTION TO OPERATIONS MANAGEMENT
Spring 2012-ASSIGNMENT # 1

Name 1: --------------------------------------------------- ID # ------------------------------------------------

Name 2: --------------------------------------------------- ID # ------------------------------------------------

Question # 1 [15 Marks]

Bob Richards, the production manager of Zychol Chemicals, is preparing his quarterly report, which is to include a productivity analysis for his department. One of the inputs is production data prepared by Sharon Walford, his operation analyst. The report, which she gave him this morning, showed the following.

| |2011 |2012 | |Production (units) |4,500 |6,000 | |Raw material used (barrel of petroleum by-products) |700 |900 | |Labor hour |22,000 |28,000 | |Capital cost applied to the department (\$) |375,000 |620,000 |

Bob new the his labor cost per hour has increased from average of \$13 per hour to an average of \$14 per hour, primarily due to a move by management to become more competitive with a new company that had just opened a plant in the area. He also knew that his average cost per barrel of raw material had increased from \$320 to \$360. He was concerned about the accounting procedures that increased his capital cost from \$375,000 to \$620,000, but earlier discussions with his boss suggested that there was nothing that could be done about the allocation.

Bob wondered if his productivity had increased at all. He called Sharon into the office and conveyed the above information to her and asked her to prepare this part of the report.

Discussion Question;

1- Prepare the productivity part of the report for Mr Richards. He probably expects some analysis of productivity inputs for all factors, as well as a multifactor analysis for both years with the change in productivity (up or down) and the amount noted.

2- Assume additional information related to the cost of production were available. The cost per unit for 2011 was \$120 and for 2012 was \$125. Considering the increase in the cost is there a change in multifactor productivity growth?

Solution Q1:

Question # 2 [15 Marks]

Forecasts based on average. Given the following data: (Stevenson page 96)

|Period |Number of Complaints |
|1 |60 |
|2 |65 |
|3 |55 |
|4 |58 |
|5 |64 |

Prepare a forecast using each of these approaches:
a. The appropriate naïve approach. [2 marks]
b. A three period moving average. [3 marks]
c. A weighted average using weight of 0.5 (most recent), 0.3 and 0.2. [4 marks] d. Exponential smoothing with a smoothing constant of 0.4. [6 marks]

Solution Q2:

Question # 3 [15 Marks]

Using seasonal relatives, Apple’s Citrus Fruit Farm ships boxed fruit anywhere in Middle East. Using the following information, forecast shipments for the first four months of next year.

|Month |Seasonal Relatives |Month |Seasonal Relatives | |January |1.2 |July |0.8 | |February |1.3 |August |0.6 | |March |1.3 |September |0.7...