Solve the Problem $x$ ,
B What Value Of Trough $x$ Will Maximize the Volume of Water That Can Be Carried

question 188

Multiple Choice

Solve the problem.
-A trough at the end of a gutter spout is meant to direct water away from a house. The homeowner makes the trough from a rectangular piece of aluminum that is 24 in. long and 8 in. wide. He makes
A fold along the two long sides a distance of x inches from the edge.
a. Write a function to represent the volume in terms of $x$ ,
b. What value of $x$ will maximize the volume of water that can be carried by the gutter?

• A) a. \(V ( x ) = - 2 x ^ { 2 } + 8 x ;\) b. \(x = 2\)
• B) a. \(V ( x ) = - 2 x ^ { 2 } + 8 x ;\) b. \(x = 1\)
• C) a. \(V ( x ) = - 48 x ^ { 2 } + 192 x\); b. \(x = 2\)
• D) a. \(V ( x ) = - 48 x ^ { 2 } + 192 x\); b. \(x = 1\)

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Definitions:

FR(%)

A term that does not appear to match standard key terms used in inventory management, production, or finance. NO.

MTBF

Mean Time Between Failures, a measure of reliability for a system, indicating the average time between failures.

Standard Deviation

A statistical measure that quantifies the amount of variation or dispersion of a set of data values from their mean.

Preventive Maintenance

Scheduled maintenance activities conducted on equipment before faults occur in order to prevent breakdowns and minimize downtime.