• Formulate the problem as an LP. • Write the dual LP. • Derive the units on the dual variables and give an eco- nomic interprctation of the solution to the dual LP. • Solve the primal LIP using tablcaux or Vandcrbci's pivot tool. At the start and after each iteration, give the following information: The primal basic solution. The corresponding dual basic solution. 1You should find an optimum after two iterations. The cconomic intcrprctation of the dual solu- tion. Mixing problem. The R. H. Lawn Products Co. has available 80 metric tons of nitrate and 50 metric tons of phosphate to use in producing its three types of fertilizer during the coming week. The mixture ratios and profit figures are given in the accompanying table. Metric tons / 1000 bags Profit ($/1000 bags) Nitrate Phosphate Regular lawn Super lawn Garden 4 300 4 3 500 2 400

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter2: Systems Of Linear Equations
Section2.5: Iterative Methods For Solving Linear Systems
Problem 28EQ
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• Formulate the problem as an LP.
• Write the dual LP.
• Derive the units on the dual variables and give an eco-
nomic interprctation of the solution to the dual LP.
• Solve the primal LIP using tablcaux or Vandcrbci's pivot tool. At
the start and after each iteration, give the following information:
The primal basic solution.
The corresponding dual basic solution.
1You should find an optimum after two iterations.
The cconomic intcrprctation of the dual solu-
tion.
Mixing problem. The R. H. Lawn Products Co. has available 80 metric tons of
nitrate and 50 metric tons of phosphate to use in producing its three types of
fertilizer during the coming week. The mixture ratios and profit figures are
given in the accompanying table.
Metric tons / 1000 bags
Profit
($/1000 bags)
Nitrate
Phosphate
Regular lawn
Super lawn
Garden
4
300
4
3
500
2
400
Transcribed Image Text:• Formulate the problem as an LP. • Write the dual LP. • Derive the units on the dual variables and give an eco- nomic interprctation of the solution to the dual LP. • Solve the primal LIP using tablcaux or Vandcrbci's pivot tool. At the start and after each iteration, give the following information: The primal basic solution. The corresponding dual basic solution. 1You should find an optimum after two iterations. The cconomic intcrprctation of the dual solu- tion. Mixing problem. The R. H. Lawn Products Co. has available 80 metric tons of nitrate and 50 metric tons of phosphate to use in producing its three types of fertilizer during the coming week. The mixture ratios and profit figures are given in the accompanying table. Metric tons / 1000 bags Profit ($/1000 bags) Nitrate Phosphate Regular lawn Super lawn Garden 4 300 4 3 500 2 400
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