AD680 Global Supply Chains
Problem Set #3: Optimization
You have been hired by a vendor who is preparing for an upcoming K-Pop (Korean pop music) concert
featuring the singer IU (Lee Ji-eun) in Cincinnati. The concert organizer is allowing vendors to sell IU
paraphernalia. You determine that certain one-size-fits-all winter hats featuring IU’s image will be sold.
You have four choices for OEM suppliers of the hats. Due to their locations, their lead times differ, along
with your costs. Based on past concerts, the product sales forecast is for 3000 hats, but this estimate is
uncertain depending on the concert attendance. Each hat will sell for $32. Once the concert ends, products
not sold will be bought by a discounter at a heavily reduced price of $2.40 per hat. Sales forecasts will be
more accurate as the concert approaches (forecast CV’s are available based on past forecasting
performance). Production quality varies according to location, which is expressed as an expected
production yield. Production costs are adjusted to account for these yields(and shown below as net
product cost). Because the products all require careful handling, there will be an inventory holding cost
that will apply as soon as the order is placed. However, the annual holding percentage is unknown at this
time. The table below summarizes the important information regarding the locations under consideration.

Create a spreadsheet that determines, for each manufacturing location, the expected profits and how many
units the vendor should order from each manufacturer. Assume that demand variation is normally
distributed. Vary the annual holding cost percentage and show how the expected profits and order
quantities for a range of holding rates from 10% to 40%. Show these results in tabular and graphical form.
Clearly organize and label the spreadsheet to show inputs and results (i.e., a user may wish to modify
inputs later as more information becomes available). The assessment of this work will be based on the
accuracy and clarity of your spreadsheet.
Attach one Excel file, using a file name Lastname_PS3.


Vietnam Japan Mexico Ohio
Poduction Yield 90% 100% 90% 95%
Salvage Revenue $2.40 $2.40 $2.40 $2.40
Sales Revenue $32.00 $32.00 $32.00 $32.00
Demand Forecast 3000 3000 3000 3000
Forecast CV 37.5% 30.0% 22.5% 12.5%
Lead Time (Weeks) 40 35 25 15
Gross Product Cost $12.00 $14.00 $14.00 $17.00
Net Product Cost $13.33 $14.00 $15.56 $17.89

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