Throx sells higher-end custom-design socks in three-sock sets (rather than two). The company operates from a small packaging and distribution facility in Richmond, CA from which it ships product to customers. Given the company's location and focus, 97% of sales are in California, primarily in the major urban areas of the San Francisco bay area, Los Angeles, Sacramento (and last but not least) San Diego. The company sells exclusively via online sales, at an average price of $18/three-sock set, plus shipping costs charged to the customer.

The company currently orders its product from the Chinese sock manufacturer Zhejiang Datang Hosiery Group Co., Ltd in so-called "Sock City." Socks are shipped via truck to the port of Shanghai, from where they are shipped to the port at Los Angeles-Long Beach via ocean freight. Once offloaded in Los Angeles-Long Beach, the socks are shipped via truck to the Richmond facility. On average, shipment from the manufacturer to the Richmond facility takes 4 weeks. In addition to the transit time required for shipment, the lead time from when an order is placed with the manufacturer to when it is shipped from Zhejiang is 3 weeks. So, the total lead time is considered to be 7 weeks from when Throx places an order until it reaches the Richmond facility. Historically, the standard deviation of lead time has been 1 week.

Product Orders (Demand) Information

The company provides you with the following information for the past two fiscal years:

Demand Characteristic	2019	2020
Annual Demand, sets	26,270	29,975
Average Weekly Demand	505	576
Std Deviation of weekly Demand	126	144

Product Forecasting Information

Throx uses two main forecasting methods based on annual data to predict orders for the following year, a weighted moving average and exponential smoothing. They provide you with the following information about forecasts for FY 2017 through FY2020:

	Actual Demand (Three Sock Sets)	Weighted Moving Average Fcst	Exponential Forecast
2017	18,850	14,500	15,000
2018	22,750	17,060	18,080
2019	26,270	20,805	21,816
2020	29,975	24,472	25,379

Weighted Moving Average uses W_t = 0.6 and W_t-1 =0.3.Wt-2 = .1

Exponential Smoothing uses = 0.8.

Inventory Management Information

The initial inventory for all sock styles combined at the beginning of FY 2021 is 2,250 units. You also have information on current costs, which includes:

• Order cost to Throx for an order placed with its current supplier, $/order = S = $225
• Holding cost per set per per year = H = $1.75
• The company currently pays $6.80 for each set of socks. = P

The company uses a continuous review replenishment policy, and has IT systems in place that allow constant monitoring of key information. Last year, the company used an ROP under this policy of 1,900 units for all sock styles and an order quantity Q of 4,500 units for all sock styles.

Potential Alternatives to Current Supply Chain Management

The company has asked you to evaluate a number of alternatives to their current SCM practices, including at a minimum their choice of supplier, transportation modes, warehouse capacity, order quantities and safety stock.

Alternative Suppliers

The company has contacted potential alternative suppliers in China, who have offered the following information relative to the current supplier:

Supplier Characteristic	Current	Alternative A	Alternative B
Unit Price, $/3-sock Set	$6.50	$5.75	$5.50
Order Cost, $/order	$250	$325	$225
QA CPk	TBD	TBD	TBD
Financial Condition of the Firm	Good	Poor	Fair

Supplier Characteristic	Weight
Unit Price, $/3-sock Set	0.4
Order Cost, $/order	0.1
Defect Rate	0.3
Financial Condition of the Firm	0.2

For the quality performance assessment of the suppliers, Throx would like you determine the Capability Index for each Supplier based on the following information. Throx considers it critical that the suppliers can maintain their minimum Target Sock Thickness: 6mm +/- .5mm

Measures in mm	Current	Alternative A	Alternative B
Mean Sock Thickness	6	5.8	6.2
Standard Deviation	0.15	0.11	0.18

Alternative Transportation

An alternative to their current transportation approach available to Throx is shipment by UPS Express Air from Shanghai to Richmond, which averages 3.5 days. The comparison of costs is given as:

Transportation Supplier Characteristics	Maersk Ocean Freight (Current)	UPS Air Express (Alternative)
Units Costs, $/sock set	$1.35	$3.95
Damage Rate	2.8%	0.5%
Average Transit Time, weeks	4	0.5

* No data are available about variation in transit times, so Throx assumes this is constant.

Similar to their decision about sourcing, Throx wants to use a single-sourcing strategy for transportation, so they want a recommendation about which mode would be best.

NOTE: Ignore the current port capacity issues when making your decision/ recommendation

Alternative Warehouse Location

The company would also like to assess whether its current warehouse location is appropriate based on where customers are located. It provides you the following information about its key markets, and indicates that its orders in each market are roughly proportional to the total population.

Market	Population	X	Y
LA	17,800,000	34	118
San Francisco	8,900,000	38	122
San Diego	5,800,000	33	117
Sacramento	2,500,000	39	121

Case Questions

1. Calculate EOQ and ROP values for FY2021 based on your forecast from Question 2 and recommendations for their sock supplier and transportation company from Question 4 & 5. (TIP: The selected supplier may change your S and P values.) Give your final answer in full sock sets (ROUND UP to the next whole number). What are the expected costs for inventory management based on your decisions? How does this compare to company's current policy results from their current Q & ROP?

1. Indicate an appropriate location for a new facility if one is to be built using the weighted center of gravity approach. Round your final coordinates (X, Y) to two decimal places. Discuss other relevant factors that would influence the choice of a specific location once the (X,Y) coordinates have been identified.