A local manufacturing firms has hired you to calculate their break-even output levels under various conditions. Please show the formula, all work and the answer. a. Management provides you with the following information and questions. Let total fixed cost, TFC, equal $40,00; average variable cost, AVC, equal to $20/unit and the price, P, equal to $30. Find this manufacturers break-even output level and the output that would lead to a total profit of $60,000. b. Suppose there is an advancement in technology which lowers its AVC to $20/unit while keeping TFC at $100,000 and P = $30/unit. How would this new technology impact its breakeven point and the output level ensuring a $60,000 profit level. c. Management, again, asks you to find the breakeven output level and the output level ensuring a profit of $60,000 if TFC = $100,000; AVC = $20/unit and a price, P = $40/unit.