A UK-based manufacturing company produces two products, Alpha and Beta.
The sales demand for Alpha is 500 units and for Beta is 600 units.
A single machine is used for production, with a maximum of 4,000 hours available.
Alpha requires 5 machine hours per unit and generates a contribution of £40 per unit.
Beta requires 4 machine hours per unit and generates a contribution of £36 per unit.
What is the optimal production plan to maximise profit?