Solve for the following Linear Programming problems . ( USING SIMPLEX METHOD) Your solutions should include : 1. Objective Function 2. Constraints 3. Graph complete with labels of points and lines , and shaded feasible region 4. Corner point approach 5. Optimal solution 6. MINIMUM COST A Fertilizer Company makes a fertilizer using two chemicals that provide nitrogen, phosphate, and potassium A pound of ingredient 1 contributes 10 ounces of nitrogen and 6 ounces of phosphate, while a pound of ingredient 2 contributes 2 ounces of nitrogen, 6 ounces of phosphate, and 1 ounce of potassium. Ingredient 1 costs Php 3 per pound, and ingredient 2 costs Php 5 per pound. The company wants to know how many pounds of each chemical ingredient to put into a bag of fertilizer to meet the minimum requirements of 20 ounces of nitrogen , 36 ounces of phosphate, and 2 ounces of potassium while minimizing cost.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Solve for the following Linear Programming problems . ( USING SIMPLEX METHOD) Your solutions should include : 1. Objective Function 2. Constraints 3. Graph complete with labels of points and lines , and shaded feasible region 4. Corner point approach 5. Optimal solution 6. MINIMUM COST A Fertilizer Company makes a fertilizer using two chemicals that provide nitrogen, phosphate, and potassium A pound of ingredient 1 contributes 10 ounces of nitrogen and 6 ounces of phosphate, while a pound of ingredient 2 contributes 2 ounces of nitrogen, 6 ounces of phosphate, and 1 ounce of potassium. Ingredient 1 costs Php 3 per pound, and ingredient 2 costs Php 5 per pound. The company wants to know how many pounds of each chemical ingredient to put into a bag of fertilizer to meet the minimum requirements of 20 ounces of nitrogen , 36 ounces of phosphate, and 2 ounces of potassium while minimizing cost.
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