You chose to work beyond the age of 67. Your benefit increases 8% for every year you wait past the age of 67 but there is no increase in benefit beyond age 70. You are retiring at the end of this year, at the age of 72. If your normal monthly retirement benefit would have been $1,000 per month if you retired at 67, which math statement below could you use to roughly calculate your monthly benefit at age 72?
a) $1,000 + $1,000 x .08 x 3 = $1,240
b) $1,000 + $1,000 x .08 x 5 = $1,400
c) $1,000 + $1,000 x .08 x 3 x 12 = $2,880
d) $1,000 + $1,000 x .08 x 5 x 12 = $4,800

Your aunt is thinking about opening a hardware store. she estimates that it would cost $300,000 per year to rent the location and buy the stock. in addition, she would have to quit her $45,000 per year job as an accountant. a. define opportunity cost. b. what is your aunt's opportunity cost of running a hardware store for a year? if your aunt thought she could sell $350,000 worth of merchandise in a year, should she open the store? explain.

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.]

For a firm that uses the weighted average method of process costing, which of the following must be true? (a) physical units can be greater than or less than equivalent units. (b) physical units must be equal to equivalent units. (c) equivalent units must be greater than or equal to physical units. (d) physical units must be greater than or equal to equivalent units.