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?
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A
200 units of Alpha and 600 units of Beta
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B
500 units of Alpha and 375 units of Beta
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C
320 units of Alpha and 600 units of Beta
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D
500 units of Alpha and 600 units of Beta