Exhibit 8.2 The Following Questions Pertain to the Problem and Spreadsheet Below

question 60

Short Answer

Exhibit 8.2
The following questions pertain to the problem and spreadsheet below.
A construction company just purchased a 300 × 300 foot lot upon which they plan to build an office building. They need at least 60,000 ft² of office floor space. Zoning regulations require each floor be 10 feet high and the building not exceed 65 ft in height. Further, parking space must equal at least 30% of the total floor space available. The company's cost accountant uses a 60% factor of the building height and a 1% factor of any story's floor area to calculate the total building cost (in millions of dollars).
The following is the NLP formulation for the problem. The spreadsheet implementation of this formulation applies to the following questions.
-Refer to Exhibit 8.2. The company wishes to have a relatively square building. Thus, they wish neither the building length nor the building width exceed the other by more than 25%. Add constraint(s) to enforce this design constraint.

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Definitions:

Biconditional

A logical relation between statements where both are either simultaneously true or simultaneously false.

Tautology

A statement that is true by virtue of its logical form alone, and is redundant or self-evident.

Main Component

The most important or central part of something which is essential to its operation or understanding.

Truth Table

A mathematical table used in logic to compute the functional values of logical expressions on each of their functional arguments.