Question: Question 1 Linear Programming Power Fuels is developing a new additive for rocket fuel. The additive is a mixture of liquid ingredients A, B and

Question 1

Linear Programming

Power Fuels is developing a new additive for rocket fuel. The additive is a mixture of liquid ingredients A, B and C. For proper performance, the total amount of additive must be at least 20 ounces per gallon of fuel. For safety reasons, the total amount of additive must not exceed 24 ounces per gallon. At least 2 ounces of A must be used for every ounce of C. The amount of B must be smaller than one-half the amount of A.

If the cost per ounce for ingredients A, B and C is $50, $40 and $70, respectively, develop a Linear Programming model, solve it and present your solution.
If the cost of ingredient C was reduced to $55, how would that change the solution?
How the solution would change if the total amount of additive must not exceed 22 ounces per gallon?

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