A manufacturing plant makes two types of inflatable boats—atwo-person boat and a four-person boat. They usually sell twice asmany two-person boats, so number of two-person boats needs to betwice the number of four-person boats. Each two-person boatrequires 0.9 labor-hour in the cutting department and 0.8labor-hour in the assembly department. Each four-person boatrequires 1.8 labor-hours in the cutting department and 1.2labor-hours in the assembly department. The maximumlabor-hours available each month in the cutting and assemblydepartments are 864 and 680 respectively. The company makes$25 on each two-person boat and $40 on each four-person boat. How many boats do they need to produce for maximumprofit?