List of top Quantitative Ability Questions on Profit Maximization asked in XAT

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.

As of now, what is the profit-maximizing output?

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?