A Rectangular Box Is Resting on The $x y$ -Plane with One Vertex at the Origin

question 87

Multiple Choice

A rectangular box is resting on the $x y$ -plane with one vertex at the origin. The opposite lies in the plane Find the dimensions that maximize the volume. (Hint: Maximize $V = x y z$ subject to the constraint $2 x + 3 y + 5 z - 90 = 0$ ) .

• A)15 units \(\times\) 12 units \(\times\) 5 units
• B)11 units \(\times\) 9 units \(\times\) 5 units
• C)10 units \(\times\) 9 units \(\times\) 6 units
• D)15 units \(\times\) 10 units \(\times\) 6 units
• E)12 units \(\times\) 11 units \(\times\) 7 units

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