Final answer:
The graph described depicts a production possibilities frontier (PPF) for Denise's production of apples and oranges, with points plotted at (24,0) for apples and (0,18) for oranges, connected by a straight line.
Step-by-step explanation:
To create a graph that keeps the values of Denise's production of apples and oranges constant, you'll need to construct a production possibilities frontier (PPF). Assuming that Denise's technology and resources are constant, the PPF will show the possible combinations of apples and oranges that she can produce. Given that she can produce 24 pounds of apples or 18 pounds of oranges, you can plot these two points on a graph.
First, draw a graph with the quantity of apples on the x-axis and the quantity of oranges on the y-axis. Place a point at (24, 0) to represent the maximum amount of apples Denise can produce without producing any oranges. Place another point at (0, 18) to represent the maximum amount of oranges she can produce without producing any apples. Now draw a straight line connecting these two points; this line is the PPF.
The PPF illustrates the trade-off between producing apples and oranges. Any point on the line represents an efficient combination of production for Denise, whereas any point inside the PPF is attainable but inefficient. Points outside the PPF are unattainable given Denise's current resources and technology.