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Tony Little wants to combine aerobics and swiming. He wants...

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Question by cmerca
Submitted on 1/25/2004
Related FAQ: Linear Programming FAQ
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Tony Little wants to combine aerobics and swiming.  He wants to work out for 3h to 5h (180min to 300min) a week.  He wants to spend at least 1 hour on each activity.  He can burn an average of 6 cal/min doing aerobics and 11 cal/min swimming.  How much time should he spend on each exercise if he wants to maximize the number of calories burned?  What is the maximum number of calories burned?


Answer by silva
Submitted on 2/18/2004
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He is crazy let him die..............

 

Answer by edgie
Submitted on 2/25/2005
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Classic LP model:
  Maximize Z=6x+11y
  subject to x+y <=300
             x+y >=180
               x >=60
               y >=60
Change these four inequalities to equalites and graph them on the same graph.  The feasible region for this problem looks kind of like a sideways trapazoid.  The four corners of the trapazoid are your CPF solutions.  Evaluate Z at all four, optimal solution is the one that yields the largest Z value.  Ans: (x,y)=(60,240), Z=3000
Tony Little has the coolest mullet.

 

Answer by haydeemartinez
Submitted on 5/23/2005
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highghhhhhhhhhhhhhhhhhhh

 

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