Use Lagrange Multipliers to Find the Given Extremum

question 46

Multiple Choice

Use Lagrange multipliers to find the given extremum.In each case,assume that x,y​,and z are positive. ​
Maximize Constraints ​

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Definitions:

Pounds Per Square Inch

A unit of pressure represented as psi, indicating the amount of force exerted per square inch of area.

Inequality

A mathematical statement indicating that two expressions are not equal, using symbols such as <, >, ≤, or ≥.

Real Number Line

A line that graphically represents all real numbers, with points corresponding to the numbers' values.

Opposite

Referring to a number that, when added to the original number, results in zero, or a direction exactly 180 degrees away.