Read the following and answer this question based on the same:
The demand for a product (Q) is related to the price (P) of the product as follows: \(Q=100-2P\).
The cost (C) of manufacturing the product is related to the quantity produced in the following manner: \(C=Q^2-16Q+2000\).
As of now the corporate profit tax rate is zero. But the Government of India is thinking of imposing 25% tax on the profit of the company.
If the government imposes the 25% corporate profit tax, then what will be the profit maximizing output?