Income statements for two different companies in the same industry are as follows: company a company bsales $ 500,000 $ 500,000less: variable costs 400,000 200,000contribution margin 100,000 300,000less: fixed costs 50,000 250,000operating income $ 50,000 $ 50,000calculate the degree of operating leverage for both companies.2.calculate the break-even point in $ for each company. which company has the higher break-even point? why? 3.suppose both companies experience a 50% increase in sales. calculate the percentage change in profits for each company. explain why the percentage increase in company b�s profits are so much larger than company a�s.

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.]

Consider derek's budget information: materials to be used totals $64,750; direct labor totals $198,400; factory overhead totals $394,800; work in process inventory january 1, $189,100; and work in progress inventory on december 31, $197,600. what is the budgeted cost of goods manufactured for the year? a. $1,044,650 b. $649,450 c. $657,950 d. $197,600

Problem page a medical equipment industry manufactures x-ray machines. the unit cost c (the cost in dollars to make each x-ray machine) depends on the number of machines made. if x machines are made, then the unit cost is given by the function =cx+−0.3x2126x31,935 . how many machines must be made to minimize the unit cost?