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Titanium Aluminum Rock Maple Men's 3.1 4.3 5.25 Resources Required per Club Set (in lbs.) Women's 2.9 3.8 4.85 Junior's 2.7 4.8 4.65 The estimated
Titanium Aluminum Rock Maple Men's 3.1 4.3 5.25 Resources Required per Club Set (in lbs.) Women's 2.9 3.8 4.85 Junior's 2.7 4.8 4.65 The estimated amount of each of these key resources available at each plant during the coming month is given as: Estimated Resources Availability (in lbs.) Daytona Memphis Tempe Titanium 4500 14500 8500 Aluminum 6000 19000 12000 Rock Maple 9500 18000 16000 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 $278, $228, and $149, 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 97% (but no more than 100%) of all distributor orders. PM recently received the following distributor orders for the coming month: Number of Club Sets Ordered Men's Women's Sacramento 1000 1000 Denver 680 1100 Pittsburgh 900 900 Juniors' 680 380 1080 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. Men's club sets shipping costs (in $) To/From Daytona Tempe Sacramento Denver Pittsburgh 56 51 10 43 28 36 To/From Sacramento Denver Pittsburgh Tempe 9 Women's club sets shipping costs (in $) Memphis 33 22 13 Daytona 49 27 34 42 54 To/From Sacramento Denver Pittsburgh Juniors' club sets shipping costs (in $) Memphis Tempe 31 8 21 40 12 52 You have been asked to determine an optimal production and shipping plan for the coming month in order to maximize the profit of "The PoyrazMade". Given above information, what is the maximum total profit achievable for the coming month? A) $ 1,250,000 B) $ 1,472,010 C) $ 1,504,210 D) $ 1,582,898 E) $ 1,613,472 F) $ 1,678,323 G) $ 1,786,395 H) $ 1,999,999 1) $2,000,000 3) Infeasible solution: model cannot be solved, one or more of the constraints cannot be satisfied
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