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Can I please get some assistance understanding how to solve the following problem? Thank you in advance
A Manufacturer produces a component for diesel engines and a similar component for petrol engines. In the course of production, both components must pass through a machine centre and a testing centre. Diesel engine components spend 4 hours in the machine centre and 2 hours in the testing centre. Petrol engine components spend 2 hours in each centre. There are 16 hours available per day in the machine centre and 12 hours in the testing centre. A contract with a customer stipulates that at least 3 diesel engine components must be produced per day. Each diesel component that is produced earns a contribution of £60 and each petrol component earns £45. How many units of each component should be manufactured each day in order to maximise contribution?