Jack MacLean has entered into a real estate development partnership with Bill Lyons and Ju...

Jack MacLean has entered into a real estate development partnership with Bill Lyons and June Reese. Bill owns of the partnership, while June has a interest. The partners will divide all profits on the basis of their fractional ownership.

The partnership bought 900 acres of land and plans to subdivide each lot into acres. Homes in the area have been selling for $240,000. By time of completion, Jack estimates the price of each home will increase by of the current value. The partners sent a survey to 12,000 potential customers to see whether they should heat the homes with oil or gas. One-fourth of the customers responded by indicating a 5-to-1 preference for oil. From the results of the survey, Jack now plans to install a 270-gallon oil tank at each home. He estimates that each home will need 5 fills per year. Current price of home heating fuel is $1 per gallon. The partnership estimates its profit per home will be the selling price of each home.

From the above, please calculate the following:

a. Number of homes to be built.

b. Selling price of each home.

c. Number of people responding to survey.

d. Number of people desiring oil.

d. Average monthly cost to run oil heat per house.

e. Amount of profit Jack will receive from the sale of homes.