S o l u t i o n s t o A d d i t i o n a l P r o b l e m s
1. a. All methods other than “pocket calculator with paper and pencil” are technologically
e”cient. To use a pocket calculator with paper and pencil to complete the
accounting assignment is not a technologically e”cient method because it takes
more hours than it would with a pocket calculator and it uses more capital.
b. The economically e”cient method is the technologically e”cient method that allows
the task to be done at least cost.
(i) When the wage rate is $10 an hour: Total cost with a PC is $2,005, total cost
with a pocket calculator is $55, and total cost with paper and pencil is $143.
Total cost is least with a pocket calculator.
(ii) When the wage rate is $20 an hour: Total cost with a PC is $2,010, total cost
with a pocket calculator is $95, and the total cost with paper and pencil is
$283. Total cost is least with a pocket calculator.
(iii) When the wage rate is $50 an hour: Total cost with a PC is $2,025, total cost
with a pocket calculator is $215, and total cost with pencil and paper is $703.
Total cost is least with a pocket calculator.
2. a. Methods A, B, C, and D are technologically e”cient. Compare the amount of labor
and capital used by the four methods. Start with method A. Moving from A to B to C
to D, the amount of labor increases and the amount of capital decreases in each
case.
b. The economically e”cient method in (i) is method D, in (ii) is method D, and in (iii) is
method A. The economically e”cient method is the technologically e”cient method
that allows the 100 shirts to be made at least cost.
(i) Total cost with method A is $5,010, total cost with method B is $4,020, total
cost with method C is $2,050, and total cost with method D is $1,100. Method
D has the lowest total cost.
(ii) Total cost with method A is $2,550, total cost with method B is $2,100, total
cost with method C is $1,250, and total cost with method D is $1,000. Method
D has the lowest total cost.
(iii) Total cost with method A is $750, total cost with method B is $1,200, total cost
with method C is $2,600, and total cost with method D is $5,050. Method A
has the lowest total cost.
3. a. The four-rm concentration ratio is 38.46. The four-rm concentration ratio equals
the ratio of the total sales of the largest four rms to the total industry sales
expressed as a percentage. The total sales of the largest four rms is $50,000 +
$75,000 + $60,000 + $65,000, which equals $250,000. Total industry sales equal
$250,000 + $400,000, which equals $650,000. The four–rm concentration ratio
equals ($250,000/$650,000) 100, which is 38.46 percent.
b. This industry is competitive because the four–rm concentration ratio is less than 60
percent.
4. a. The Herndahl-Hirschman Index is 2,038. The Herndahl–Hirschman Index equals
the sum of the squares of the market shares of the 50 largest rms or of all rms if
there are less than 50 rms. The Herndahl–Hirschman Index equals 202 + 172 + 222
+ 172 + 242, which equals 2,038.
b. This industry is not competitive because the Herndahl-Hirschman Index exceeds
1,800.
A d d i t i o n a l D i s c u s s i o n Q u e s t i o n s
1. What decisions go into setting up and operating your own business?
Have the students imagine starting up their own rm after graduation. Let