Linear Programming: Ajax Fuels, Inc., is developing a new additive for airplane fuels

[nikolabusic]

5. Ajax Fuels, Inc., is developing a new additive for airplane fuels. The additive is a mixture of three ingredients: A, B, and C. For proper performance, the total amount of additive (amount of A + amount of B + amount of C) must be at least 10 ounces per gallon of fuel. However, because of safety reasons, the amount of additive must not exceed 15 ounces per gallon of fuel. The mix or blend of the three ingredients is critical. At least 1 ounce of ingredient A must be used for every ounce of ingredient B, and the amount of ingredient C must be greater than one-half the amount of ingredient A. If the cost per ounce of ingredients A, B, and C are $0.10, $0.03, and $0.09, respectively, find the minimum-cost mixture of A, B, and C for each gallon of airplane fuel.

This is an assignment that needs some solution to it.

My very good friend sent it to me and since I suck at math (badly!), I decided to seek for help online.

Can anyone offer some kind of solution to this problem?

Thankful in advance!

(I had no idea in what subthread of math to put this, so admins can move it to its place if I posted it wrong)

 

[Deleted member 4993]

5. Ajax Fuels, Inc., is developing a new additive for airplane fuels. The additive is a mixture of three ingredients: A, B, and C. For proper performance, the total amount of additive (amount of A + amount of B + amount of C) must be at least 10 ounces per gallon of fuel. However, because of safety reasons, the amount of additive must not exceed 15 ounces per gallon of fuel. The mix or blend of the three ingredients is critical. At least 1 ounce of ingredient A must be used for every ounce of ingredient B, and the amount of ingredient C must be greater than one-half the amount of ingredient A. If the cost per ounce of ingredients A, B, and C are $0.10, $0.03, and $0.09, respectively, find the minimum-cost mixture of A, B, and C for each gallon of airplane fuel.

This is an assignment that needs some solution to it.

My very good friend sent it to me and since I suck at math (badly!), I decided to seek for help online.

Can anyone offer some kind of solution to this problem?

Thankful in advance!

(I had no idea in what subthread of math to put this, so admins can move it to its place if I posted it wrong)

Please ask your friend to post here - including any work/thought towards the solution of the problem.