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The Alaskan subsidiary of ThemoMaster manufactures an indoor-outdoor thermometer. Management estimates that the profit (in dollars) realizable by the company for the manufacture and sale

The Alaskan subsidiary of ThemoMaster manufactures an indoor-outdoor thermometer. Management estimates that the profit (in dollars) realizable by the company for the manufacture and sale ofxunits of thermometers each week is

P(x) = -0.001x2+ 10x - 6000

Due to manufacturing facilities, no more than 30000 thermometers can be produced.

Find the intervals where the profit functionPis increasing and the intervals wherePis decreasing.

What is the relative maximum?

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