For individual or collaborative investigation (Exercises 57-60)Ifp units of an item are sold for x dollars per unit, the revenue is R px. Use thisidea to analyze the following problem, working Exercises 57-60 in order.Number of Apartments Rented The manager of an 80-unit apartment complexknows from experience that at a rent of $300, all the units will be full. On the average, one additional unit will remain vacant for each $20 increase in rent over $300Furthermore, the manager must keep at least 30 units rented due to other finan-cial considerations. Currently, the revenue from the complex is $35,000. How manyapartments are rented?

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Asked Sep 20, 2019
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Hi, the problem in the image is confusing. How do I set this pre-problem (before 57-60) up, and how do I solve it? I have tried to solve it but am left confused in the middle of the problem.

 

I have a test on Monday so if you can solve this before 9/21/19 that would be great.

For individual or collaborative investigation (Exercises 57-60)
Ifp units of an item are sold for x dollars per unit, the revenue is R px. Use this
idea to analyze the following problem, working Exercises 57-60 in order.
Number of Apartments Rented The manager of an 80-unit apartment complex
knows from experience that at a rent of $300, all the units will be full. On the aver
age, one additional unit will remain vacant for each $20 increase in rent over $300
Furthermore, the manager must keep at least 30 units rented due to other finan-
cial considerations. Currently, the revenue from the complex is $35,000. How many
apartments are rented?
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For individual or collaborative investigation (Exercises 57-60) Ifp units of an item are sold for x dollars per unit, the revenue is R px. Use this idea to analyze the following problem, working Exercises 57-60 in order. Number of Apartments Rented The manager of an 80-unit apartment complex knows from experience that at a rent of $300, all the units will be full. On the aver age, one additional unit will remain vacant for each $20 increase in rent over $300 Furthermore, the manager must keep at least 30 units rented due to other finan- cial considerations. Currently, the revenue from the complex is $35,000. How many apartments are rented?

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Expert Answer

Step 1

To find the number of apartments which have been let under the  given conditions

Step 2

Work out the rents from the 30 and the remaining nu...

Revemie from 30 apartments = 30x300-9000 (1)
Assume that n more apartments are let with rents:
320,340,360... 320+(n-1)20
Revemte = !320+320 + (n-1)20]x 20
2
(2)
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Revemie from 30 apartments = 30x300-9000 (1) Assume that n more apartments are let with rents: 320,340,360... 320+(n-1)20 Revemte = !320+320 + (n-1)20]x 20 2 (2)

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