Final answer:
To represent the boundaries of the possible production combinations for a maximum of 750 washing machines (x) and 600 dishwashers (y), draw a vertical line at x=750 and a horizontal line at y=600. The region where these lines intersect and extend towards the origin (0,0) on a graph signifies all the feasible combinations of both appliances.
Step-by-step explanation:
The student is asking for a graphical representation of the production possibilities for a company that can build a maximum of 750 washing machines and 600 dishwashers per month.
The variables x and y represent the number of washing machines and dishwashers produced, respectively. To represent the boundaries of possible production combinations, two lines must be drawn: one line for x at 750 (representing the maximum number of washing machines) and another line for y at 600 (representing the maximum number of dishwashers).
Each line would intersect the corresponding axis at the given maximum and extend parallel to the opposite axis, creating the boundary.
To illustrate, the line for the washing machines (where x = 750) would be a vertical line crossing the x-axis at 750 and for the dishwashers (where y = 600) would be a horizontal line crossing the y-axis at 600.
The rectangular area formed by the intersection of these lines represents all the possible combinations of washing machines and dishwashers. This type of problem is commonly seen in the study of linear inequalities and optimization in mathematics.