You are the cost Engineer for a construction company in charge of building a new bridge. The construction company will be penalized each day of delay in construction for bridge. The penalty will be $4500 for the first day and will increase by $10000 for each following day. Based on its budget, the company can afford to pay a maximum of $ 175500 toward penalty. By modelling this as an arithmetic progression, find the maximum number of days by which the completion of work can be delayed.