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A Woman Has a Building with 26 One-Bedroom Apartments, 40

question 10

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A woman has a building with 26 one-bedroom apartments, 40 two-bedroom apartments, and 60 three-bedroom apartments available to rent to students. She has set the rent at $550 per month for the one-bedroom units, $900 per month for the two-bedroom units, and $1,100 per month for the three-bedroom units. She must rent to one student per bedroom, and zoning laws limit her to at most 250 students in this building. There are enough students available to rent all the apartments. How many of each type of apartment should she rent to maximize her monthly revenue? Find the maximum possible monthly revenue. Round your profit to the nearest dollar. ​


Definitions:

Warm and Affectionate

Showing feelings of love, care, and kindness openly and comfortably.

Only Ceremonial

Referring to events or practices that are purely formal or symbolic, without legal or substantial effect.

Federal Government

The national government of a federal country, which holds the authority to govern the entire nation.

Land Speculators

Individuals or entities that purchase land with the aim of profiting from its future increase in value rather than its use.

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