The Kalo Fertilizer Company makes a fertilizer using two chemicals that provide nitrogen, phos- phate, 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 phos- phate, and 1 ounce of potassium. Ingredient 1 costs $3 per pound, and ingredient 2 costs $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 phos- phate, and 2 ounces of potassium while minimizing cost. a. Formulate a linear programming model for this problem. b. Solve this model by using graphical analysis.
The Kalo Fertilizer Company makes a fertilizer using two chemicals that provide nitrogen, phos- phate, 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 phos- phate, and 1 ounce of potassium. Ingredient 1 costs $3 per pound, and ingredient 2 costs $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 phos- phate, and 2 ounces of potassium while minimizing cost. a. Formulate a linear programming model for this problem. b. Solve this model by using graphical analysis.
Chapter1: Making Economics Decisions
Section: Chapter Questions
Problem 1QTC
Related questions
Question
![The Kalo Fertilizer Company makes a fertilizer using two chemicals that provide nitrogen, phos-
phate, 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 phos-
phate, and 1 ounce of potassium. Ingredient 1 costs $3 per pound, and ingredient 2 costs $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 phos-
phate, and 2 ounces of potassium while minimizing cost.
a. Formulate a linear programming model for this problem.
b. Solve this model by using graphical analysis.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F5db32ec2-9d3d-4482-8776-e387bfbb1f02%2Fc05e8b8a-1263-415d-8bf8-da6db6b3e1a0%2Fuhtzsl9_processed.png&w=3840&q=75)
Transcribed Image Text:The Kalo Fertilizer Company makes a fertilizer using two chemicals that provide nitrogen, phos-
phate, 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 phos-
phate, and 1 ounce of potassium. Ingredient 1 costs $3 per pound, and ingredient 2 costs $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 phos-
phate, and 2 ounces of potassium while minimizing cost.
a. Formulate a linear programming model for this problem.
b. Solve this model by using graphical analysis.
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