A factory operates in a village and employs 200 workers. The workers are willing to work for any salary. The items produced by the factory are sometimes more demanded by consumers than at other times. For this reason, the demand for workers of the company is not the same throughtout the year: for 6 months in the year, the demand for workers is
w = 2200 - 5L
and for the other 6 months, the demand for workers is
w = 2600 - 5L
where w is the monthly salary paid each worker in dollars and L is the number of workers.
The factory is considering moving to the city, where the demand for workers is totally flexible.
What is the most that the salary of workers in the city can be, for the factory to be able to move there (assume the moving costs are negligible and all other costs borne by the factory are the same in the city and in the village)