You are the project manager working for Mack's Pool Co$.$ Your project consists of installing a new swimming pool at the local country club before Memorial Day weekend $($pool opening weekend$).$ You would like to find the minimum cost schedule for your project. There is a $$9,000$ per week penalty for each week the project is delayed beyond week $9.$ In addition, your project team determined that indirect costs are $$15,000$ per week.