While checking its records, a publishing company noted the following costs for publishing books. One book required 60 hours of design, 100 hours of editing, and 200 hours for production and cost $23,000. Another author's book cost $49,500 and required 300 hours of editing, 30 hours of design, and 400 hours of production. A third book required 150 hours of production, 80 hours of editing, and 40 hours for design, all of which cost $17,400. How much would the company charge to publish a book that requires 35 hours of design, 250 hours of edition, and 200 hours of production? Setup the system equation and solve using substitution or elimination showing ALL of your work.