Question

There are 60 newly built apartments at rent of rs 4500 per month al will ne occupied . However one apartment will be vacant for each ra 150 increase in rent . An occupied apartment requires rs 600 per month for maintenance find the relationship between the profit and the numbers of unoccupied apartment

Answer 1

Answer:

rs.269700(profit)

Step-by-step explanation:

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Answer 2

Answer:

The relationship between the profit and unoccupied apartment is

P = 270000 + 3900x -150x²

Step-by-step explanation:

Let 'x' be the number of unoccupied apartments. and let 'P' be the total Profit

Since total number of apartments is 60, no of occupied apartments = 60-x

Rent collected = (60-x)4500 = 270000 - 4500x

The extra amount collected from one apartment if one flat is vacant = Rs. 150

The extra amount collected from all the occupied apartments if one flat is vacant  = 150(60 -x)150

The extra amount collected from all occupied apartments if 'x' flats are vacant = 150x(60 -x) = 9000x - 150x²

Total amount collected from occupied flats  

=  270000 - 4500x + 9000x - 150x²

= 270000 + 4500x -150x²

Amount spent for the maintenance of the unoccupied flats = 600x

Hence Profit = 270000 + 4500x -150x² - 600x

P = 270000 + 4500x -150x² - 600x

P = 270000 + 3900x -150x²

∴The relationship between the profit and unoccupied apartment is

P = 270000 + 3900x -150x²

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