c. Is the supply of land in South Dakota perfectly inelastic?
Answers to Additional Problems and Applications
11. Venus is opening a tennis school. She plans to hire a marketing graduate to
promote and manage the school at $20 an hour. Venus is also considering
buying or leasing a new tennis ball machine. The purchase price of the
machine is $1,000 and after three years it is worthless. The annual cost of
leasing the machine is $500.
a. In which factor markets does Venus operate?
Venus is operating in the labor market when she hires her marketing graduate and
b. What is the price of the capital equipment and the rental rate of capital?
Use the following data to work Problems 12 to 15.
Kaiser’s Ice Cream Parlor hires workers to produce
milk shakes. The market for milk shakes is perfectly
competitive, and the price of a milk shake is $4. The
labor market is competitive, and the wage rate is
$40 a day. The table shows the workers’ total
product schedule.
12. Calculate the marginal product of hiring the
fourth worker and the fourth worker’s value of
marginal product.
By hiring the 4th worker the number of milk
shakes increases by 10 milk shakes (43 milk
13. How many workers will Kaiser’s hire to maximize its prot and how many milk
shakes a day will Kaiser’s produce?
14. If the price of a milk shake rises to $5, how many workers will Kaiser’s hire?
If the price rises to $5 a milk shake, Kaiser’s will hire 4.5 workers. The value of
15. Kaiser’s installs a new machine for making milk shakes that increases the
productivity of workers by 50 percent. If the price of a milk shake remains at
$4 and the wage rises to $48 a day, how many workers does Kaiser’s hire?
Kaiser’s hires 4.5 workers because this is the quantity of workers that sets the
value of marginal product equal to the wage rate. With the old machine, the
marginal product of 4.5 workers was 8 milk shakes. The new machine increases
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Number
of
workers
Quantity
produced
(milk shakes per
day)
2 21
3 33
4 43
5 51
6 55
M A R K E T S F O R FA C T O R S O F P R O D U C T I O N 5 1