. Set up a mathematical model for the problem below. Do not solve. A polling firm is interviewing people in three states.In state A, it costs $25 per hour per employee and employee's can poll 4 people per hour.In state B, it costs $30 per hour per employee and employee's can poll 5 people per hour.In state C, it costs $15 per hour per employee and employee's can poll 6 people per hour.The firm can't hire more than 49 employees (to avoid scrutiny as a big employer) and they must employ at least 8 people in each state.Their budget is at most $1,200 per hour.How many people should the firm hire in each state to maximize the total number of people polled?