Inventory management.

Dear OTA,

Please help me with detail explanation and working wherever necessary. Please see attachment.

Thanks

Martin Pullin Bicycle Corporation (MPBC), located in Dallas, is a wholesale distributor of bicycles and bicycle parts. Formed in 1981 by cousins Ray Martin and Jim Pullin, the firm's primary retail outlets are located within a 400-mile radius of the distribution center. These retail outlets receive the order from Martin-Pullin within two days after notifying the distribution center, provided that the stock is available. However, if an order is not fulfilled by the company, no backorder is placed; the retailers arrange to get their shipment from other distributors, and MPBC loses that amount of business.
The company distributes a wide variety of bicycles. The most popular model, and the major source of revenue to the company, is the AirWing. MPBC receives all the models from a single manufacturer overseas, and shipment takes a s long as four weeks from the time an order is placed. With the cost of communication, paperwork, and customs clearance included, MPBC estimates that each time an order is placed, it incurs a cost of $65. The purchase price paid by MPBC, per bicycle, is roughly 60% of the suggested retail price for all the styles available, and the inventory carrying cost is 1% per month (12% per year) of the purchase price paid by MPBC. The retail price (paid by the customers) for the AirWing is $170 per bicycle.
MPBC is interested in making an inventory plan for 2002. The firm wants to maintain a 95% service level with its customers to minimize the losses on the lost orders. The data collected for the past two years are summarized in the following table. A forecast for AirWing model sales in the upcoming year 2002 has been developed and will be used to make an inventory plan for MPBC.
Demands for AirWing Model
Month 2000 2001 Forecast For 2002
January 6 7 8
February 12 14 15
March 24 27 31
April 46 53 59
May 75 86 97
June 47 54 60
July 30 34 39
August 18 21 24
September 13 15 16
October 12 13 15
November 22 25 28
December 38 42 47
Total 343 391 439
Discussion Questions
1. Develop an inventory plan to help MPBC.
2. Discuss ROP's and total costs.
3. How can you address demand that is not at the level of the planning horizon?

You will submit a final project analysis of a case. In Unit 1 you made a choice between the "Martin-Pullin Bicycle Corporation" on page 237 of the Render text or "Old Oregon Wood Stove" on page 448 of the Render text.
In addition to the questions required by the case, answer the following question for your case:
Martin-Pullin Bicycle Corporation: Trace the inventory behavior with the forecasted demand (assume they are accurate and there are no forecasting errors).
1. Identify the amount of total stockout.
2. Calculate the lost profit due to the stockout.
3. Recalculate the total cost.
Hints given by professor: January - December (cut off)
The key thing is to set up the inventory plan correctly, a month by month look at how many bicycles would be sold.
So you need to fill out the table below. I have provided the total, you need to fill in the separate months.
1. Inventory Plan Forecasted
Jan Feb Mar Apr May Jun Jul Aug Sep Oct Nov Dec Total
439

Then you need to properly calculate:
Carrying Cost/Unit/Year Ch
Cost/Unit (to Customer) CuC
Cost/Unit (MPBC) Cu
Cost/Order Co
Delivery Time/Order L
Then just follow the formulae in the book.
For the stock out caculations, it would help to keep a running inventory using a table like the one below:

Month Forecasted
Demand Total Number of bikes end of month Calculations (108 stock on hand = 1st order + safety stock = 68+40) Carrying Cost Lost Profit
January
February
March
April
May
June
July
August
September
October
November
December
Hints given by professor:
Reorder point =
ROP = (Avg. demand during lead time) + z(Standard deviation during lead time)
Hints given by professor:

You need to calcualte the standard deviation of the sample inventory for the Martin case. Excel gives us two formulae:
STDEV(number1,number2,...) for a sample of the population
and
STDEVP (number1,number2,...) for data which represents the entire population
Which one do we want to use, do we have the sample or the entire inventory for the year?