Constraints

A manager of an apartment building in Ankara, Turkey, is planning the building's maintenance budget for the next three years—Y1, Y2, and Y3. All maintenance must be paid for from the building's maintenance reserve account (MRA). The manager knows that at the end of the current year (Y0), there will be exactly 50,000 lira (₺) in the MRA.

The apartment owners have set the following priorities and constraints for the manager.

  • Wall and roof repairs are the highest priorities and must be completed in Y1.
  • Landscaping and interior painting are the lowest priorities.
  • There must be at least ₺10,000 in the MRA at the end of each year.
  • The apartment association will contribute exactly ₺70,000 to the MRA at the beginning of each of Y1, Y2, and Y3.


Draft Plan

The table shows the manager's draft maintenance plan. For each project and year, the corresponding cell indicates the amount of money to be spent on the project in that year. A blank cell indicates that, in this plan, no money is to be spent on the indicated project in the indicated year. There are no other projects.

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MRA projections
The table shows the projected contribution to, expenditure from, and end-of-year balance of the MRA for each of the three years, given the manager's draft maintenance plan.1681573762_643ac78264c85.png


Assume that no two projects have the same priority. Given this assumption and based on the information provided, which one of the following maintenance projects must be either the apartment owners' third or fourth priority?


Exterior painting

Interior painting

Landscaping

Roof repairs

Wall repairs

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