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LP Example 2

A manufacturer makes 2 kinds of chair A and B, each of which has to be processed in 2 departments, D1 and D2. 
  • Chair A has to be processed in D1 for 3 hours and in D2 for 2 hours
  • Chair B has to be processed in D1 for 3 hours and D2 for 4 hours
  • The time available in D1 in a given month is 120 hours and in D2 is 150 hours
  • Chair A has a selling price of £10
  • Chair B a selling price of £12
How many of each chair should be made to maximise profit?