Chapter 5.2, Problem 3MP

A manufacturing plant makes two types of inflatable boats––a two person boat and a four-person boat. Each two-person boat requires $0.9$ labor-hour in the cutting department and $0.8$ labor-hour in the assembly department. Each four-person boat requires $1.8$ labor-hours in the cutting department and $1.2$ labor-hours in the assembly department. The maximum labor-hours available each month in the cutting and assembly departments are $864$ and $672$, respectively.

(A) Summarize this information in a table.

(B) If $x$ two-person boats and $y$ four-person boats are manufactured each month, write a system of linear inequalities that reflects the conditions indicated. Graph the feasible region.