A construction company just purchased a 300 350 foot lot upon which they plan to build an office building. They need at least 70,000 square feet of office floor space. Zoning regulations require each floor be 10 feet high and the building not exceed 75 ft in height. Further, parking space must equal at least 20% of the total floor space available. The company's cost accountant uses a 50% factor of the building height (in feet) and a 1% factor of a single story's floor area (in square feet) to calculate the total building cost (in millions of dollars).

The company want the building and parking lot to cover the entire lot.

There are four decision variables: the building length L, the building width W, the number of stories F, and the amount of parking A. L and W are measured in feet, while the number of stories is an integer, and the amount of parking is measured in square feet.

Formulate the problem and answer the following questions.

1. What is the coefficient for the decision variable F in the objective function?

2. What is the correct equality/inequality sign in the total lot area constraint if the RHS is positive?

3. What is the value of the RHS constant in the minimum parking area constraint?

4. What is the coefficient for the decision variable F in the maximum building height constraint if the RHS is positive?

5. Which one of the decision variables is not included in the office floor space requirement constraint?

6. The minimum parking area constraint has three decision variables which are multiplied together as part of the LHS of the constraint. What is the coefficient for the product of these three variables if the RHS is positive?