Power Fuels Is Developing a New Additive for Rocket Fuel

question 33

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.

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Definitions:

Degrees of Freedom

The number of independent values or quantities which can be assigned to a statistical distribution without violating any constraint.

Equal-variances T-test

A statistical test used to compare the means of two groups, assuming that both groups have the same variance.

Normal Populations

Populations in which the distribution of data points follows a normal distribution curve, important in many statistical methods.

Population Means

The average of a set of numerical values from the entire population being studied.