Consider a monopoly with inverse demand function p = 90

Question

Consider a monopoly with inverse demand function p = 90 - 10y and cost function c (y)= 10y.
i)Find the profit maximizing output and price, and calculate the monopolist's profits.
ii)Now, suppose the government imposes a per unit tax t = 20. Find the new price, output and profits.

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The Answer of Consider a monopoly with inverse demand function p = 90 - 10y and cost function c (y)= 10y.
i)Find the profit maximizing output and price, and calculate the monopolist's profits.
ii)Now, suppose the government imposes a per unit tax t = 20. Find the new price, output and profits.