Jack maclean has entered into a real estate development partnership with bill lyons and june reese. bill owns 3formula32.mml of the partnership, while june has a 3formula33.mmlinterest. the partners will divide all profits on the basis of their fractional ownership.

the partnership bought 600 acres of land and plans to subdivide each lot into 3formula34.mml acres. homes in the area have been selling for $210,000. by time of completion, jack estimates the price of each home will increase by 3formula35.mml 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 240-gallon oil tank at each home. he estimates that each home will need five fills per year. the current price of home heating fuel is $2 per gallon. the partnership estimates its profit per home will be 3formula36.mml the selling price of each home. (do not round intermediate calculations.)

a. calculate the number of homes to be built.

number of homes

b. calculate the selling price of each home

selling price $

c. calculate the number of people responding to survey.

number of people

d. calculate the number of people desiring oil.

number of people

e. calculate the average monthly cost per house to heat using oil. (round your answer to 2 decimal places.)

average monthly cost $

f. calculate the amount of profit jack will receive from the sale of homes.

amount of profit $

woodsmith magazine gave instructions on how to build a pine cupboard. lumber will be needed for two shelves 1formula828.mml inches long, two base sides 1formula829.mml inches long, and two door stiles 1formula830.mml inches long. your lumber comes in 6 foot lengths.

a. how many feet of lumber will you need? (enter your fraction in lowest terms.)

feet of lumber