The Monroe County Public Defender's Office in New York has a budget of approximately $8 million and employs nearly 70 attorneys and 25 staff people. The courts have imposed new requirements for representation: indigent people must now be represented at their first hearing. The Public Defender has given you the task of determining how many new attorneys to hire while simultaneously minimizing the cost. Suppose that you can hire Special Assistant Public Defenders at a salary of $12,000 per month, Senior Assistant Public Defenders at a salary of $10,000 per month, and Assistant Public Defenders at a salary of $6,000 per month. You estimate that you will need to provide representation for 700 new cases per month. The following table gives your estimates of how many cases each class of attorney can handle. Special Assistant Public Defender 1 2 3 Cases Handled (per month) Public Defender Senior Assistant Cases Handled (per montth) Assistant Public Cases Handled 240 1 200 Defender 1 (per month) 140 200 2 160 2 120 160 3 110 3 60 The number of Special Assistants you will hire is The number of Senior Assistants you will hire is The number of Assistant Public Defenders you will hire is