Economics 101

Fall 2001

Answers to Practice Questions 5

 

1.

 

Output

Workers Hired

TFC

TVC

TC

MC

AFC

AVC

ATC

0

0

$2000

0

$2000

-

-

-

-

1

1

$2000

300

$2300

300

2000

300

2300

2

3

$2000

900

$2900

600

1000

450

1450

3

6

$2000

1800

$3800

900

667

600

1267

4

10

$2000

3000

$5000

1200

500

750

1250

5

15

$2000

4500

$6500

1500

400

900

1300

 

2. a.By the condition D=S, P*=70 and Q*=30.

b. MC and ATC cross at the lowest point of ATC. Thus if we set MC=TAC, then we can find the production quantity which minimizes ATC.

 

MC= 20Q+1    =    ATC = 10Q + 1 + 10/Q

 

Then Q=1(Q>0).

c.Since ATC increases as the total level of production increases, this indicates diseconomies of scale.

 

3. c

4. d.

We say a firm experiences constant return to scale if LRAVC remains constant regardless of an increase in production. Thus, the microsoft¡¯s LRAVC remains constant although Microsoft doubles its production quantity.

e.

To satisfy the economies of scale condition, LRAVC must decrease to an amount less than $20 per unit.

 

5.a

6.Similar to the question 2, MC and ATC must cross single time at the lowest ATC point. Thus MC should be 50 when quantities are 3. Since ATC increases as the increase of quantities, it shows diseconomies of scale.

7. If you reformulate the table, 

 

Price

Quantity

TR

MR

TC

MC

1

3

3

-

10

-

2

5

10

7

13

3

3

6

18

8

20

7

4

7

28

10

30

10

5

9

45

17

35

5

 

thus P=4, Q=7 is the answer.