Question

A leading company in Delhi is planning to rent houses and open spaces. The houses are in three categories namely, having three bedrooms, two bed- rooms and single bedroom homes. A market survey conducted by a team indi- cates that a maximum of 650 three bedroom homes, 500 two bedroom homes and 300 single bedroom homes can be rented. Also, the number of three bed- room homes should be at least 60% of the number of two bedroom and single bedroom homes. Open space is proportionate to the number of home units at the rates of at least 10 sq.ft, 15 sq.ft and 18 sq.ft for three bedroom, two bedroom and single bedroom homes respectively. However, land availability limits open space to no more than 10000 sq.ft. The monthly rental income is estimated at Rs. 45000, Rs. 56250 and Rs. 90000 for single bedroom, two bedroom and three bedroom homes respectively. The open space rents for Rs. 7500/sq.ft. Formulate the above as an LPP so as to get maximal revenue.

Answer 1

Answer:

.

.

.

.

[OR]

3 bedroom - a, 2 bedroom - b, 1 bedroom - c

a<=650

b<=500

c<=300

a>=0.60*(b+c)

10a+15b+18c<=10000

And of course a, b, c are non-negative integers

These are the constraints of our LPP

45000c+56250b+90000c+(7500(10a+15b+18c)) is the rent function which us to be maximized

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