Suppose a Home Improvement Contractor Is Painting the Walls and Ceiling

question 144

Multiple Choice

Suppose a home improvement contractor is painting the walls and ceiling of a rectangular room. The volume of the room is 911.25 cubic feet. The cost of wall paint is $0.08 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:

Average Total Cost

The total cost of production divided by the number of goods produced, representing the cost per unit of output.

Product Variety

The range of different products or services offered by a company or available in a market, catering to diverse customer tastes and needs.

Allocative Efficiency

A state of the economy in which production represents consumer preferences; in particular, every good or service is produced up to the point where the last unit provides a marginal benefit to society equal to the marginal cost of producing it.

Monopolistically Competitive

A competitive framework where numerous companies offer goods that are alike but not the same, leading to competition revolving around quality, price, and brand recognition.