The recently started law firm of Dewey, Cheetum, and Howe has three partners.$$Between "rain$-$making" work to get business and administrative duties, the partners believe that the average utilization rate is onlh $40$ percent at best. At a billing rate of $$200$ per hour and a forty$-$hour work week, How many new sales are necessary per month in order for a firm to average a constant $1,200$ customers if the disconnect rate is $4\mathrm{.}5$ percent?