Question: A manufacturer of self-baiting mousetraps is currently selling 1,500 traps a month to retailers at a price of $1 per trap. She estimates that for each 5 cent increase in price, she will sell 25 fewer traps per month. Her costs consist of a fixed overhead of $180 a month and 30 cents per trap for labor and materials. Find the dollar profit P(x) as a function of the price x. Estimate the value of x where the maximum occurs from the graph.