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Linear Programming: A real estate developer is planning a new mini apartment complex. Three types of units can...

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General Management

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.

Answer & Explanation Solved by verified expert
3.9 Ratings (608 Votes)
Lets assume the number of onebedroom apartments is X the number of twobedroom apartments is Y and the    See Answer
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