In: Economics
I. Suppose the inverse demand function for a monopolist’s product is given by ? = 150 − 2? and the total cost function is given by ?? = 100 + 30?
1. Determine the profit-maximizing price and quantity
2. Determine the maximum profits
II. Suppose the inverse demand function for a monopolistically competitive firm’s product is given by
? = 100 − 2?
and the cost function is given by ?? = 52 + 4?
1. Determine the profit-maximizing price and quantity
2. Determine the maximum profits.
Ans.1) the monopolist firm's profit-maximizing price is $90, the profit-maximizing quantity is 30 units, and the maximum profit is $1,700.
2) the monopolistically competitive firm's profit-maximizing price is $52, the profit-maximizing quantity is 24 units, and the maximum profit is $1,100.