The Muddy River Chemical Corporation pounds of a special mixture of phosphate ar Phosphate costs $5 per pound and potassium 800 pounds of phosphate can be used, a potassium must be used. Management want

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter6: Linear Systems
Section6.8: Linear Programming
Problem 32E
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The Muddy River Chemical Corporation must produce exactly 1,000
pounds of a special mixture of phosphate and potassium for a customer.
Phosphate costs $5 per pound and potassium $6 per pound. No more than
300 pounds of phosphate can be used, and at least 150 pounds of
potassium must be used. Management wants to determine the least-cost
blend of the two ingredients.
For the situation presented above:
a) Present the complete Linear Programming Formulation of the
problem.
b) Obtain solution using the Simplex Method in tabular form. (All
tableaus and calculations must be shown).
Transcribed Image Text:The Muddy River Chemical Corporation must produce exactly 1,000 pounds of a special mixture of phosphate and potassium for a customer. Phosphate costs $5 per pound and potassium $6 per pound. No more than 300 pounds of phosphate can be used, and at least 150 pounds of potassium must be used. Management wants to determine the least-cost blend of the two ingredients. For the situation presented above: a) Present the complete Linear Programming Formulation of the problem. b) Obtain solution using the Simplex Method in tabular form. (All tableaus and calculations must be shown).
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