In: Economics
Q3: a) The following table shows some costs of a typical firm that operates in a perfectly competitive industry where the market price (P*) is $20 per unit. Complete the following table. Show values to 2 decimal places if they are not whole numbers.
Hint: Start with the first row.
Q (units) |
TFC |
TVC |
TC |
AFC |
AVC |
ATC |
MC |
TR |
AR |
MR |
0 |
$60 |
– |
– |
– |
– |
– |
– |
|||
1 |
$15 |
|||||||||
2 |
$12.50 |
|||||||||
3 |
$31 |
|||||||||
4 |
$44 |
|||||||||
5 |
$11.80 |
|||||||||
6 |
$141 |
|||||||||
7 |
$117 |
|||||||||
8 |
$52 |
b) What is the firm’s profit maximizing output level and what is the size of the firm’s economic profit at this output level?
c) What does the firm’s shut-down price equal?
d) What does the firm’s break-even price equal?
a.
Q (units) |
TFC |
TVC |
TC |
AFC |
AVC |
ATC |
MC |
TR |
AR |
MR |
Profit |
0.00 |
60.00 |
60.00 |
-60.00 |
||||||||
1.00 |
60.00 |
15.00 |
75.00 |
60.00 |
15.00 |
75.00 |
15.00 |
20.00 |
20.00 |
-55.00 |
|
2.00 |
60.00 |
25.00 |
85.00 |
30.00 |
12.50 |
42.50 |
10.00 |
40.00 |
20.00 |
20.00 |
-45.00 |
3.00 |
60.00 |
33.00 |
93.00 |
20.00 |
11.00 |
31.00 |
8.00 |
60.00 |
20.00 |
20.00 |
-33.00 |
4.00 |
60.00 |
44.00 |
104.00 |
15.00 |
11.00 |
26.00 |
11.00 |
80.00 |
20.00 |
20.00 |
-24.00 |
5.00 |
60.00 |
59.00 |
119.00 |
12.00 |
11.80 |
23.80 |
15.00 |
100.00 |
20.00 |
20.00 |
-19.00 |
6.00 |
60.00 |
81.00 |
141.00 |
10.00 |
13.50 |
23.50 |
22.00 |
120.00 |
20.00 |
20.00 |
-21.00 |
7.00 |
60.00 |
117.00 |
177.00 |
8.57 |
16.71 |
25.29 |
36.00 |
140.00 |
20.00 |
20.00 |
-37.00 |
8.00 |
60.00 |
169.00 |
229.00 |
7.50 |
21.13 |
28.63 |
52.00 |
160.00 |
20.00 |
20.00 |
-69.00 |
b. Loss minimizing level of output is 5 units and the economic loss is -$19
c. Shut down price equals minimum average variable cost = $11
d. Break even price, it is the selling price which makes cost equals revenue and is shown as below. Break even price equals $23.5
Q (units) |
TFC |
TVC |
TC |
AFC |
AVC |
ATC |
MC |
TR |
AR |
MR |
Profit |
0.00 |
60.00 |
60.00 |
-60.00 |
||||||||
1.00 |
60.00 |
15.00 |
75.00 |
60.00 |
15.00 |
75.00 |
15.00 |
23.50 |
23.50 |
-51.50 |
|
2.00 |
60.00 |
25.00 |
85.00 |
30.00 |
12.50 |
42.50 |
10.00 |
47.00 |
23.50 |
23.50 |
-38.00 |
3.00 |
60.00 |
33.00 |
93.00 |
20.00 |
11.00 |
31.00 |
8.00 |
70.50 |
23.50 |
23.50 |
-22.50 |
4.00 |
60.00 |
44.00 |
104.00 |
15.00 |
11.00 |
26.00 |
11.00 |
94.00 |
23.50 |
23.50 |
-10.00 |
5.00 |
60.00 |
59.00 |
119.00 |
12.00 |
11.80 |
23.80 |
15.00 |
117.50 |
23.50 |
23.50 |
-1.50 |
6.00 |
60.00 |
81.00 |
141.00 |
10.00 |
13.50 |
23.50 |
22.00 |
141.00 |
23.50 |
23.50 |
0.00 |
7.00 |
60.00 |
117.00 |
177.00 |
8.57 |
16.71 |
25.29 |
36.00 |
164.50 |
23.50 |
23.50 |
-12.50 |
8.00 |
60.00 |
169.00 |
229.00 |
7.50 |
21.13 |
28.63 |
52.00 |
188.00 |
23.50 |
23.50 |
-41.00 |