Maximizing Daily Profit with Constraints

Let the number of units of product A manufactured per day be represented by the variable x, and the number of units of product B manufactured per day be represented by the variable y. The profit from product A is $12 per unit and the profit from product B is $8 per unit. The factory operates under the following constraints:

• The total number of units of products A and B cannot exceed 240 units per day.
• Additionally, the factory can manufacture a maximum of 100 units of product A per day.
• Finally, the minimum number of units of product B that must be produced per day is 20 units.

What is the maximum total daily profit that the factory can achieve, given these constraints?