Company ABC bills out 3 consultants on a daily rate. The consultant's goal is to have 150 days per year billed. Consultant Z was paid $250,000 per year pre-bonus, consultant Y was paid $225,000 per year pre-bonus, and Consultant X was paid $200,000 per year pre-bonus. Each consultant needs an administration individual that costs the company $60,000 per year, which includes all expenses and benefits. The total costs for these administrators are $180,000. The company spends $40,000 on benefits per consultant. The company spends $500,000 on other overhead. The company's goal is to earn $200,000 in pre-tax profit after having the aforementioned costs paid (there are no other costs aside from what is stated). What should the daily rate be that is charged to a client for a consultant, supposing the rate is the same per consultant? Include your work and steps.