Linear Programming:
A real estate developer is planning a new mini apartmentcomplex.
Three types of units can be built: one-bedroom apartments,two-bedroom apartments, and three-bedroom apartments.
Each one-bedroom apartment requires 700 square feet; eachtwo-bedroom apartment requires 850 square feet; and eachthree-bedroom apartment requires 1,250 square feet.
The developer wants to keep a mix of apartment types in thecomplex. He believes that the number of one-bedroom apartmentsshould be at least 15% of the total number of apartments. Howeverthree-bedroom apartments should not be more than 30% of the totalnumber of apartments.
Local zoning laws do not allow the developer to build more than 42units in this particular building location, and restrict thebuilding to a maximum of 36,000 square feet.
Market studies show that one-bedrooms rent for $825 per month,two-bedrooms for $1,225 per month, and three-bedrooms for $1,775per month.
a)Determine the constraint for square feet.
b)Determine the constraint for the number of totalunits.
c) Determine the constraint for one-bedroomapartments.???????
d) Determine the objective function.
