A Small Company Makes Three Different Types of Bird Houses

A small company makes three different types of bird houses. Each type requires the services of three different departments, as indicated by the following table. Type A Type B Type C Cutting department 0.1 hour 0.1 hour 0.2 hour Finishing department 0.5 hour 0.5 hour 0.3 hour Assembly department 0.3 hour 0.1 hour 0.2 hour The cutting, finishing, and assembly departments have available a maximum of 27, 86, and 37 work-hours per week, respectively. How many bird houses of each type should be made per week so that the company is operating at full capacity? Please enter your answer as an ordered triple ( x , y , z ), where x , y , z are the numbers of houses of type A, B, and C, respectively.