• 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.

• 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.

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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