What Combination of a and B Will Yield the Optimum

question 68

Multiple Choice

What combination of a and b will yield the optimum for this problem? Maximize $6a + $15b,subject to (1) 4a + 2b ≤ 12 and (2) 5a + 2b ≤ 20 and (3) x,y ≥ 0.

• A)a = 0,b = 0
• B)a = 3,b = 3
• C)a = 0,b = 6
• D)a = 6,b = 0
• E)a = 0,b = 10

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Definitions:

Independent

Not influenced by or contingent on something else; in statistics, two events are independent if the occurrence of one does not affect the probability of the other.

Organic Product

A chemical compound or substance that has been synthesized through an organic reaction, which can include a wide variety of chemical species.

Reaction

A process in which one or more substances, the reactants, are converted to one or more different substances, the products, via a chemical change.

Dilute Acid

An acid solution that has a low concentration of hydrogen ions compared to its amount of solvent, typically water.