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4 In the AMPL version of the production-transportation problem, there are 15 hours of production time available at CLEV, the minimum total cost is
4 In the AMPL version of the production-transportation problem, there are 15 hours of production time available at CLEV, the minimum total cost is $1,392,175, and the dual value associated with the Time constraint for CLEV is -1522.86. If you reduce the available production time at CLEV to 14.5 hours and solve again, the minimum total cost rises to $1,392,951, and the dual value is -1652.86. You now have the beginnings of a table: avail ["CLEV"] Total Cost Time ["CLEV"].dual 15.0 14.5 $1,392,175 $1,392,951 -1522.86 -1652.86 a: Complete the table for values 14.0, 13.5, ... of avail["CLEV"]. Stop when the problem becomes infeasible. b: Use the data in your table to create a reasonably accurate graph of cost versus availability, with avail["CLEV"] along the horizontal axis and Total_Cost along the vertical axis. Use either a computer package or graph paper for drawing your graph. Hint: The dual value tells you the slope of this graph.
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