Task #8 (100 points, show all your work for full credit!) You are the new vice president for operations at the "The PoyrazMade" (PM), a company specializing in the production of quality, discount sets of golf clubs. You were hired primarily because of your expertise in supply chain management and mathematical modeling. Your main job responsibility 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 you seek to optimize all activities in the supply chain, including transactions between firms, your top priority is ensuring that all aspects of production and distribution within the company are operating optimally. PM 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 line 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 PM 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 Required per Club Set (In lbs.) Men's Women's Junior's Titanium Aluminum Currently n/a @ Rock Maple The estimated amount of each of these key resources available at each plant during the coming month is given as: Estimated Resources Availability (in Ibs.) Daytona Memphis Tempe Titanium Aluminum Currently n/a@ Rock Maple PM's reputation for quality and affordability ensures that they can sell all the clubs the company can make. The Men's, Women's, and Junior's lines generate wholesale revenues of SK, SY, and SZ, 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. PM's contract with this distributor requires the company to fill at least W% (but no more than PX) of all distributor orders
