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.

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Cost of Production

In economic theory, production costs are the costs incurred by an industrial organization when it engineers a project or provides a service that generates revenue and benefits. Labor costs, raw materials, consumable manufacturing costs, and general overhead sum up, accounting for production costs. Total cost data is calculated by combining total direct costs of materials, labor costs, and total production costs.