Using the midpoints method, calculate the price elasticity of demand of good x using the following information: when the price of good x is $50, the quantity demanded of good x is 400 units. when the price of good x rises to $60, the quantity demanded of good x falls to 300 units.

a. the price elasticity of demand for good x -123 e
b. the price elasticity of demand for good x -1.57.
c. the price elasticity of demand for good x-0.64

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.]

It is estimated that over 100,000 students will apply to the top 30 m.b.a. programs in the united states this year. a. using the concept of net present value and opportunity cost, when is it rational for an individual to pursue an m.b.a. degree. b. what would you expect to happen to the number of applicants if the starting salaries of managers with m.b.a. degrees remained constant but salaries of managers without such degrees decreased by 20 percent

The third program provides families with $50 in food stamps each week, redeemable for both perishable and nonperishable food. the fourth policy instead provides a family with a box of nonperishable foods each week, worth $50. use two graphs to illustrate that a family may be indifferent between the two programs, but will never prefer the $50 box of nonperishable foods over the $50 in food stamps. state your answer and use a consumer choice model for perishable food and nonperishable food to graphically justify your choice.