Final answer:
The resource constraint for the situation where each plastic ruler (x) requires 10 grams of plastic and each pencil box (y) requires 30 grams of plastic with 2000 grams available is the inequality 10x + 30y ≤ 2000.
Step-by-step explanation:
To write a resource constraint based on the given situation, we need to express the limits of plastic usage in terms of the quantities of plastic rulers (x) and pencil boxes (y) that can be produced with the available plastic. Since each plastic ruler requires 10 grams of plastic and each pencil box requires 30 grams of plastic, and there are 2000 grams of plastic available, we can set up the following inequality:
10x + 30y ≤ 2000
This inequality represents the resource constraint for producing plastic rulers and pencil boxes with the given amount of plastic. To maximize production without exceeding the available resources, the values of x and y must satisfy this constraint.