Maximize 9x1 + 9x2+ 6x3  (profit) Subject to      Bark 5x1 + 6x2 + 3x3 ≤ 600 pounds Machine 2x1 + 4x2 + 5x3 ≤ 600 minutes Labor 2x1 + 4x2 + 3x3 ≤ 480 hours Storage 1x1 + 1x2 + 1x3 ≤ 150 bags   x1, x2, x3 ≥ 0     What is the new value of the objective function, if the profit on chips increases from $6 per bag to $7 per bag?  The New Value Is=

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A garden store prepares various grades of pine bark for mulch: nuggets (x1), mini-nuggets (x2), and chips (x3). The process requires pine bark, machine time, labor time, and storage space. The following model has been developed.
 

Maximize 9x1 + 9x2+ 6x3  (profit)
Subject to  

  

Bark 5x1 + 6x2 + 3x3 600 pounds
Machine 2x1 + 4x2 + 5x3 600 minutes
Labor 2x1 + 4x2 + 3x3 480 hours
Storage 1x1 + 1x2 + 1x3 150 bags
  x1x2, x3 0  

 

What is the new value of the objective function, if the profit on chips increases from $6 per bag to $7 per bag? 

The New Value Is=

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