The Rainwater Brewery produces beer. The annual fixed cost is $150,000, and the variable cost per barrel is $16. Price is related to demand, according to the following linear equation: - v = 75,000 1,153.8p Develop the nonlinear profit function for the brewery and determine the price that will maximize profit, the optimal volume, and the maximum profit per year. (1) How much should you charge? (2) What is the optimal volume? (3) Maximum profit