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LP_Applications H

LP_Applications H - Linear Programming Applications 1...

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  1                Linear Programming Applications
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  2                Product Mix Problem (Floataway Tours) Floataway Tours has $420,000 that may be  used to purchase new rental boats. The  boats can be  purchased from two different  manufacturers, Sleekboat  and Racer.   q Floataway Tours would like to purchase at least 50 boats  and would like to purchase the same number from  Sleekboat as from Racer to maintain goodwill.  At the  same time, Floataway Tours wishes to have a total seating  capacity of at least 200.   q Pertinent data concerning the boats are summarized on the  next slide.  Formulate a linear programming model to  maximize the total expected daily profit.
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  3                Floataway Tours q Data :                                                              Maximum      Expected       Boat           Builder        Cost     Seating       Daily Profit Speedhawk   Sleekboat     $6,000         3                   $ 70 Silverbird      Sleekboat     $7,000         5                   $ 80 Catman          Racer              $5,000         2                   $ 50 Classy            Racer            $9,000            6                   $110  
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  4                Linear Programming Model  (variables and objective) q Decision variables :         x 1 :   number of Speedhawk boats to be purchased   x 2 :   number of Silverbird boats to be purchase x 3 :   number of Catman boats to be purchased           x 4 :   number of Classy boats to be purchased   q Objective function :                          
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  5                Linear Programming Model  (constraints) q Constraints : (1)  Spend no more than $420,000:       (2)  Purchase at least 50 boats:        (3)  Number of boats from Sleekboat equals number    of  boats from Racer:   
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