Maximizing Revenue Under Production Constraints

Consider the following scenario:

A company produces two types of products, A and B. The company has a production constraint represented by the system of equations:

Equation 1: $$3x + 2y \leq 12$$

Equation 2: $$x + 4y \leq 10$$

The variables represent the number of units produced, where $x$ is the number of product A and $y$ is the number of product B. The company aims to maximize its revenue, defined by the equation $$R = 4x + 5y$$.

Compute the maximum revenue the company can achieve under the given constraints.