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Problem on monoplists

Suppose that the total cost curve for a monopolist is provided by TC = 3y2 + 800 and its marginal cost curve is given as MC = 6y.  Also assume it faces a market demand curve of py = 280 - 4y and marginal revenue curve of MR = 280 – 8y.
    a.    Find out the monopolist’s profit maximizing price and quantity and it’s economic profits.
    b.    Find out the price elasticity of demand at the profit maximizing price.

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