principles of economics

A pure monopolist determines that at the current level of output the marginal cost of production is $2, average variable costs are $2.75, and average total costs are $2.95.  The marginal revenue is $2.75.  What would you recommend that the monopolist do to maximize profits?  b.) Why might a business owner keep their business open but let it deteriorate, rather than shut it down?  Will this profitability last?