A Building in the Shape of a Rectangular Box Is

question 77

Multiple Choice

A building in the shape of a rectangular box is to have a volume of 6,000ft³ (see the figure) . It is estimated that the annual heating and cooling costs will be $2/square foot for the top, $3/square foot for the front and back, and $2/square foot for the sides. Find the dimensions of the building that will result in a minimal annual heating and cooling cost. What is the minimal annual heating and cooling cost(C) ? ​ ​

• A) x = 30; y = 20; z = 10; C = 3,500
• B) x = 20; y = 30; z = 30; C = 3,500
• C) x = 30; y = 20; z = 20; C = 3,600
• D) x = 20; y = 30; z = 10; C = 3,600

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Definitions:

Group Performance

The outcome or result of the combined efforts of a team or group working together towards a common goal.

Empowerment

The process of giving individuals or groups the authority, resources, and opportunity to make decisions and contribute to their own success and the success of their organization.

Shared

Shared, in the context of organizational behavior, refers to resources, responsibilities, or ideas that are collectively used, borne, or developed by a group of people.

Empowering Leadership

Empowering leadership refers to a style where leaders encourage, enable, and motivate employees to take initiative and make decisions in their roles.