Cases for Study

1. You have a property of 175,000 square feet to develop into housing for at least 100 people.  Assuming that town-house units need at least 3,000 square feet and house an average of 2 people per unit, and single-family units need 10,000 square feet and house an average of 4.5 people per unit, how many units of each type can you build?  What is the optimal distribution of the types of units?

1. You are writing a grant proposal for a Habitat for Humanity project in your community.  You know that you need at least 1 supervisor for every 7 volunteers, and that you need 1 licensed electrician supervisor for every 3 carpentry supervisors. Assuming you have 50 volunteers, how many supervisors (of what type) do you need?  Further, suppose that it costs \$25,000 for an electrical supervisor (part time), and \$22,000 for a carpenter.  You can get up to \$150,000 from the grant.  How many volunteers should you be trying to round up?

1. Suppose each new commercial building will employ, on average, 30 employees.  Of these, 3 will be supervisory, 3 will be team leaders, and the rest will be hourly.  Suppose that each supervisor will require a single-family home on 17,000 square feet; a team leader will require a single family home on 8,000 square feet, and hourly workers will require a rental on 4,000 square feet.  How much residential land will be required by the average new commercial property?