Maximizing Widget Profit

A manufacturer produces two types of widgets, Model A and Model B. Each Model A widget requires 3 hours of labor and yields a profit of $30. Each Model B widget requires 2 hours of labor and yields a profit of $20.

The manufacturer has a total of 60 labor hours available per day. Let x be the number of Model A widgets produced and y be the number of Model B widgets produced. The manufacturing constraints can be summarized by the inequality:

$$3x + 2y \leq 60$$

What is the maximum profit that can be achieved if the manufacturer only produces Model A and Model B widgets?