The profit as a function Q is Q² + 90Q + 5000.
It should be noted total revenue = Price × Quantity = 100Q
Total cost = 5000 + 10Q + Q²
Therefore, profit will be:
= Revenue - Cost
= 100Q - (5000 + 10Q + Q²)
= -5000 -90Q - Q².
= Q² + 90Q + 5000
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