Suppose a Home Improvement Contractor Is Painting the Walls and Ceiling

question 3

Multiple Choice

Suppose a home improvement contractor is painting the walls and ceiling of a rectangular room. The volume of the room is 640 cubic feet. The cost of wall paint is $0.076 per square foot and the cost of ceiling paint is $0.19 per square foot. Let x, y, and z be the length, width, and height of a rectangular room respectively. Find the room dimensions that result in a minimum cost for the paint. Round your answers to two decimal places.

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Definitions:

Order Preferences

A term referring to the prioritization or arrangement of choices or interests according to a person's values, needs, or desires.

Observation

Observing behaviors of an individual to develop a deeper understanding of one or more specific behaviors (e.g., observing a student’s acting-out behavior in class or assessing a client’s ability to perform eye–hand coordination tasks to determine potential vocational placements). It includes time sampling, event sampling, and time and event sampling. It is a type of informal assessment.

Examiner

An individual who administers tests, evaluations, or assessments, often in the educational, psychological, or health-related fields.

Client

A person or organization availing the services or advice of a professional or company.