For the Water Utility, it costs $50,000 per month to lease the land and equipment for the water treatment facility and pumping station and maintain the water supply system. It costs $10Q to deliver water to households (Q is thousands of gallons). The towns monthly demand for water is QD = 5000 100P, where P is price.

Calculate the quantity of water, the price, total revenue, total cost, total profit, marginal revenue, marginal cost, the markup, the profit margin, and marginal profit at unregulated price and quantity of water. What price per gallon will they charge?