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October 29th, 2009, 02:00 PM   #1
 
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Urban planning- Applied Optimization

Two industrial plants, A and B, are located 18 miles apart, and each day, respectively emit 80 ppm (parts per million) and 720 ppm of particulate matter. Plant A is surounded b a restricted area of radius 1 mile, while the restricted area around plant B has a radius of 2 miles. The concentration of particulate matter arriving at any other point Q from each plant decreases with the reciprocal of the distance between that plant and Q Where should a house be located on a road joining the two plants to minimize the total concentration of particulate matter arriving from both plants?
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October 29th, 2009, 08:09 PM   #2
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Re: Urban planning- Applied Optimization

Hello, johnny172!

Quote:
Two industrial plants, A and B, are located 18 miles apart.
Each day, respectively emit 80 ppm (parts per million) and 720 ppm of smog.
The concentration of smog arriving at any other point Q from each plant
decreases with the reciprocal of the distance between that plant and Q.
Where should a house be located on a road joining the two plants to minimize
the total concentration of smog arriving from both plants?
Code:
      : - - - - - - - - - 18  - - - - - - - - - :
    A *-------------o---------------------------* B
      : - -  x  - - Q - - - -  18-x - - - - - - :






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[color=beige]. . [/color]




[color=beige]. . [/color]

[color=beige]. . [/color]






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October 29th, 2009, 08:26 PM   #3
 
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Re: Urban planning- Applied Optimization

thank you so much that helps so much!!! i owe you one...
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