Power Fuels Is Developing a New Additive for Rocket Fuel

Essay

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 18 ounces per gallon of fuel.For safety reasons, the total amount of additive must not exceed 22 ounces per gallon.At least 2 ounces of A must be used for every ounce of C.The amount of B must be greater than one-half the amount of A.
a.The cost per ounce for ingredients A, B and C is $50, $40 and $70, respectively.What is the objective function?
b.Develop the constraint for limiting the additives for safety reasons.
c.Develop the constraint for ensuring the performance requirement is met.
d.Develop the constraint that the relationship between Ingredient A and Ingredient C.
e.Develop the constraint that states the relationship between Ingredient B and Ingredient C.