Meet Lobo. He is an alien bounty hunter and as such is a monopolistic competitor, given his brand of bounty hunting and has "requested" your help. He has a fixed cost of $5,000 and a constant marginal cost of $500 per job. If he faces a demand curve described by this equation: P = 1,000 - 10 Q. (where P is the price he charges and Q is the number of jobs he takes)

a. At what price will Lobo break even and how many jobs will he have to take at that price?

b. Find Lobo's price and quantity where he maximizes profit

c. Calculate Lobo's Monopoly profits form part b above