1. what is the break-even point in unit sales and in dollar sales? 2. if the variable expenses per stove increase as a percentage of the selling price, will it result in a higher or a lower break-even point? (assume that the fixed expenses remain unchanged.) 3. at present, the company is selling 8,000 stoves per month. the sales manager is convinced that a 10% reduction in the selling price would result in a 25% increase in monthly sales of stoves. prepare two contribution format income statements, one under present operating conditions, and one as operations would appear after the proposed changes. 4. refer to the data in required 3. how many stoves would have to be sold at the new selling price to attain a target profit of $71,000 per month?

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Suppose a firm faces a fixed price of output, 푝푝= 1200. the firm hires workers from a union at a daily wage, 푤푤, to produce output according to the production function 푞푞= 2퐸퐸12. there are 225 workers in the union. any union worker who does not work for this firm is guaranteed to find nonunion employment at a wage of $96 per day. a.what is the firm’s labor demand function? b.if the firm is allowed to choose 푤푤, but then the union decides how many workers to provide (up to 225) at that wage, what wage will the firm set? how many workers will the union provide? what is the firm’s output and profit? what is the total income of the 225 union workers? c.now suppose that the union sets the wage, but the firm decides how many workers to hire at that wage (up to 225). what wage will the union set to maximize the total income of all 225 workers? how many workers will the firm hire? what is the firm’s output and profit? what is the total income of the 225 union workers? [hint: to maximize total income of union, take the first order condition with respect to w and set equal to 0.]

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