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Acme Gem Co

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					Acme Gem Co.


  Making Gems for all Occasions
The Problem…
  The Acme Gem Co. makes two types of
   artificial gems – a red stone and a blue
  stone. Each blue stone requires 1 minute
   at the cutting machine and 3 minutes at
 the polishing machine. A red stone takes 2
    minutes at the cutting machine and 2
    minutes at the polishing machine. The
 cutting machine is available for a maximum
  of 100 minutes per day, and the polishing
     machine is available a maximum 180
                minutes per day.
To do…
 List the important information from
  the problem
 Create a list of 20 possible
  combinations of gems that fit the
  criteria for the cutting machine
 Create a list of 20 impossible
  combinations of gems that fit the
  criteria for the cutting machine
More to do…
 On graph paper, draw a set of axes. Each
  axis must show values from zero to 100.
  The x-axis will represent the number of
  blue stones, and the y-axis will represent
  the number of red stones.
 Place a dot on your graph to represent all
  of the POSSIBLE combinations to satisfy
  the criteria for the cutting machine
And again…
 Create a list of 20 possible combinations of
  gems that fit the criteria for the polishing
  machine
 Create a list of 20 impossible combinations
  of gems that fit the criteria for the
  polishing machine
 Place a star on your graph to represent all
  of the possible combinations to satisfy the
  criteria for the cutting machine
And last..
 List 5 combinations of gems that fit
  the following criteria:
   Fit the constraints   for BOTH machines
   Fits the constraint   for ONLY the polishing
    machine
   Fits the constraint   for ONLY the cutting
    machine
   Fits the constraint   for NEITHER machine
In Conclusion
1. Write an inequality to represent the
   limitations on the polishing
   machine.
2. Write an inequality to represent the
   limitations on the cutting machine.
3. How does the graph of an inequation
   differ from the graph of an equation?
To Submit
 Staple together the work of each
  group member and pass in as one
  work packet.

				
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posted:6/9/2012
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