Profit Z = 5x + 4y is to be maximised. The corner points of the feasible region are (0, 0), (8, 0), (6, 4) and (0, 6). What is the maximum profit and where does it occur?
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Hint
The maximum of a linear objective lies at a corner point.
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Answer: C. 46, at (6, 4)
Evaluate Z at each corner: (0, 0) gives 0, (8, 0) gives 40, (6, 4) gives 30 + 16 = 46 and (0, 6) gives 24. The largest value is 46, at (6, 4). The point (6, 6) is not a corner of the region.