Rick Eldridge is the new Vice President for operations at the The Golfer's Link (TGL), a company specializing in the production of quality, discount sets of golf clubs. Rick was hired primarily because of his expertise in supply chain management (SCM). SCM is the integrated planning and control of all resources in the logistics process from the acquisition of raw materials to the delivery of finished products to the end user. While SCM seeks to optimize all activities in the supply chain including transactions between firms, Rick's first priority is ensuring that all aspects of production and distribution within TGL are operating optimally. TGL produces three different lines of golf clubs for men, women, and junior golfers at manufacturing plants in Daytona Beach, FL; Memphis, TN; and Tempe, AZ. The plant in Tempe produces all three lines of clubs while the one in Daytona only produces Men's and Women's lines, and the plant in Memphis only produces the Women's and Junior's lines. Each line of clubs requires varying amounts of three raw materials that are sometimes in short supply: titanium, aluminum, and a distinctive rock maple wood that TGL uses in all of its drivers. The manufacturing process for each line of clubs at each plant is identical. Thus, the amount of each of these materials required in each set of the different lines of clubs is summarized in the following table: Resources per Club set (lbs) Men's Women's Junior's Titanium 2.90 2.70 2.50 Aluminum 4.50 4.00 5.00 Rock Maple 5.40 5.00 4.80 The estimated amount of each of these key resources available at each plant during the coming month is given as: Resource Availability Daytona Memphis Tempe Titanium 4,500 8,500 14,500 Aluminum 6,000 12,000 19,000 Rock Maple 9,500 16,000 18,000 TGL's reputation for quality and affordability ensures that they can sell all the clubs they can make. The Men's, Women's, and Junior's lines generate wholesale revenues of $225, $195, and $165, respectively, regardless of where they are produced. Club sets are shipped from the production plants to distribution centers in Sacramento, CA, Denver, CO, and Pittsburgh, PA. Each month, the different distributions centers order the number of club sets in each of the three lines that they would like to receive. TGL's contract with this distributor requires the company to fill at least 90% (but no more than 100%) of all distributor orders. Rick recently received the following distributor orders for the coming month: Number of Club sets ordered Men's Women's Junior's Sacramento 700 900 900 Denver 550 1,000 1,500 Pittsburgh 900 1,200 1,100 The cost of shipping a set of clubs to each distribution point from each production facility is summarized in the following table. Note again that Daytona does not produce Junior's club sets and Memphis does not produce Men's club sets. Shipping Costs Men's Woman's Junior's Daytona Tempe Daytona Memphis Tempe Memphis Tempe Sacramento $ 51 $ 10 $ 49 $ 33 $ 9 $ 31 $ 8 Denver $ 28 $ 43 $ 27 $ 22 $ 42 $ 21 $ 40 Pittsburgh $ 36 $ 56 $ 34 $ 13 $ 54 $ 12 $ 52 Rick has asked you to determine an optimal production and shipping plan for the coming month.

1. What is the spreadsheet model for this problem? What is the optimal solution? 2. If Rick wanted to improve this solution, what additional resources would be needed and where would they be needed? Explain.

3. What would TGL's optimal profit be if the company was not required to supply at least 90% of each distributor's order?