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About this document
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- 2 pages
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- $2 one-time, yours to keep
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- Subject
- Engineering, Mathematics
This document presents a linear programming problem involving the development of a new additive for airplane fuels. It guides students through creating a mathematical model and using Excel Solver to find the optimal solution.
What's inside
- Problem statement: airplane fuel additives
- Decision variables and objective function
- Constraints for the mixture
- Excel Solver solution
- Optimal quantities of ingredients A, B, and C
Who it is for: Students studying linear programming and optimization techniques. (Undergraduate)
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Summary
Airplane fuel additives are mixtures of ingredients. Students learn how to use linear programming to find the least costly mix of ingredients for a gallon of fuel.
The Problem
Ajax Fuels, Inc. is creating a new additive for airplane fuel. The additive is a mix of three ingredients. The mix must meet certain conditions for safety and performance.
The Decision Variables
The quantities of the three ingredients are the decision variables. These are the amounts of A, B, and C in the additive.
The Objective Function
The objective is to minimise the cost of the additive. The cost depends on the amounts of the ingredients and their costs per ounce.
The Constraints
There are rules for the total amount of additive and for the amounts of each ingredient. These rules are the constraints on the problem.
Key terms
- Decision variables
- The quantities of ingredients A, B and C in the additive.
- Objective function
- The cost of the additive, in terms of the decision variables.
- Constraints
- The rules for the total amount of additive and for the amounts of each ingredient.
- Linear programming
- A method for finding the best solution to a problem with an objective function and constraints.
- Excel Solver
- A tool in Excel for finding the best solution to a problem with an objective function and constraints.
- Cost per ounce
- The price of one ounce of an ingredient.
Questions this document helps with
- What are the rules for the total amount of additive?
- How do you write the cost of the additive?
- What are the rules for the amounts of each ingredient?
Summary written with AI from the document's text.
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