Suppose you are a perfectly competitive firm producing computer memory chips. Your production capacity is 1000 units per year. Your marginal cost is $10 per chip up to capacity. You have a fixed cost of $10,000 if production is positive and $0 if you shut down. What are your profit-maximizing levels of production and profit if the market price is ( a ) $5 per chip, ( b ) $15 per chip, and ( c ) $25 per chip? For case ( b ), explain why production is positive even though profits are negative.