• Formulate the problem as an LP. • Write the dual LP. • Derive the units on the dual variables and give an eco- nomic interpretation of the solution to the dual LP. • Solve the primal LP using tableaux or Vanderbei's pivot tool.' At the start and after each iteration, give the following information: The primal basic solution. The corresponding dual basic solution. You should find an optimum after two iterations. The economic interpretation 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. Determine how the current inventory should be used to maximize the profit. Metric tons / 1000 bags Profit ($/1000 bags) Nitrate Phosphate Regular lawn Super lawn Garden 4 300 4 500 400 2 32 2.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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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 interpretation of the solution to the dual LP.
• Solve the primal LP using tableaux or Vanderbei's pivot tool.' At
the start and after each iteration, give the following information:
The primal basic solution.
The corresponding dual basic solution.
You should find an optimum after two iterations.
The economic interpretation 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. Determine how the current inventory should
be used to maximize the profit.
Metric tons / 1000 bags
Profit
($/1000 bags)
Nitrate
Phosphate
Regular lawn
Super lawn
Garden
4
300
4
500
400
2 32
2.
Transcribed Image Text:• Formulate the problem as an LP. • Write the dual LP. • Derive the units on the dual variables and give an eco- nomic interpretation of the solution to the dual LP. • Solve the primal LP using tableaux or Vanderbei's pivot tool.' At the start and after each iteration, give the following information: The primal basic solution. The corresponding dual basic solution. You should find an optimum after two iterations. The economic interpretation of the dual solu- tion. Mixing problem. The R. H. Lawn Products Co. has available 80 metric tons of nitrate and 50 metric tons of phosphate to use in producing its three types of fertilizer during the coming week. The mixture ratios and profit figures are given in the accompanying table. Determine how the current inventory should be used to maximize the profit. Metric tons / 1000 bags Profit ($/1000 bags) Nitrate Phosphate Regular lawn Super lawn Garden 4 300 4 500 400 2 32 2.
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