Parris_Cost_Curves_Start
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Economics
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Jun 6, 2024
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Uploaded by CoachStarBadger26
Problem 7-1
q
=
-0.6
+
18
$100
Rental rate
$800
a)
b)
c)
1
L
q(L)
VC
TC
0
0.00
0.00
800.00
1
27.40
27.40
27.40
100.00
900.00
2
87.20
43.60
59.80
200.00
1,000.00
3
175.80
58.60
88.60
300.00
1,100.00
4
289.60
72.40
113.80
400.00
1,200.00
5
425.00
85.00
135.40
500.00
1,300.00
6
578.40
96.40
153.40
600.00
1,400.00
7
746.20
106.60
167.80
700.00
1,500.00
8
924.80
115.60
178.60
800.00
1,600.00
9
1,110.60
123.40
185.80
900.00
1,700.00
10
1,300.00
130.00
189.40
1,000.00
1,800.00
Use a cell reference or a single formula where appropriate in order to or type values, as you will not receive full credit for your answers. The production function for a firm is q
= -0.6
L
3
+ 18
L
2
K
+ 10
L
where q is per week, and K
the amount of capital. The wage is $100 and the rental rat
period.
L
3
Wage (
w
)
Calculate the total short-run output, q
(
L
), for L
= 0, 1, 2, . . ., 20, Also, calculate the average product of labor, AP
L
, and the margin
for L
= 2 as q
(2) - q
(1), and so on for other levels of L
.)
For each quantity of labor in (a)
, calculate the variable cost, VC
; average cost, AC
; and the marginal cost, MC
. Draw the AVC, AC
For each quantity of labor in (a)
, calculate w/AP
L
and w/MP
L
. Exp
between MC and w/MP
L
.
Capital (
K
)
AP
L
MP
L
11
1,489.40
135.40
189.40
1,100.00
1,900.00
12
1,675.20
139.60
185.80
1,200.00
2,000.00
13
1,853.80
142.60
178.60
1,300.00
2,100.00
14
2,021.60
144.40
167.80
1,400.00
2,200.00
15
2,175.00
145.00
153.40
1,500.00
2,300.00
16
2,310.40
144.40
135.40
1,600.00
2,400.00
17
2,424.20
142.60
113.80
1,700.00
2,500.00
18
2,512.80
139.60
88.60
1,800.00
2,600.00
19
2,572.60
135.40
59.80
1,900.00
2,700.00
20
2,600.00
130.00
27.40
2,000.00
2,800.00
With a constant wage, when the average product rises, the averag
With a constant wage, when the marginal product rises, the marg
Use Excel to draw the AVC
, AC
, and MC
curves in a diagram.
Determine the relationships between AVC and w/AP
L
and betwee
0.00
500.00
1,000.00
1,500.00
2,000.00
2,500.00
-3.00
1.00
5.00
9.00
13.00
17.00
21.00
25.00
29.00
33.00
Cost Curves
Output per week (q)
Cost ($)
+
10L
AVC
AC
MC
3.65
32.85
3.65
3.65
3.65
2.29
11.47
1.67
4.59
3.34
1.71
6.26
1.13
5.12
3.39
1.38
4.14
0.88
5.52
3.51
1.18
3.06
0.74
5.88
3.69
1.04
2.42
0.65
6.22
3.91
0.94
2.01
0.60
6.57
4.17
0.87
1.73
0.56
6.92
4.48
0.81
1.53
0.54
7.29
4.84
0.77
1.38
0.53
7.69
5.28
receive full credit. Do not copy and paste values the amount of output, L
is the number of labor hours te is $800 per time
L
2
K
given that capital is fixed in the short run at K
= 1. nal product of labor, MP
L
. (You can estimate the MP
L
the total cost,
C
; the average variable cost, AVC
; the C, and MC curves in a diagram.
plain the relationships between AVC and w/AP
L
and w/AP
L
w/MP
L
0.74
1.28
0.53
8.12
5.81
0.72
1.19
0.54
8.60
6.46
0.70
1.13
0.56
9.12
7.28
0.69
1.09
0.60
9.70
8.34
0.69
1.06
0.65
10.34
9.78
0.69
1.04
0.74
11.08
11.82
0.70
1.03
0.88
11.92
14.94
0.72
1.03
1.13
12.89
20.32
0.74
1.05
1.67
14.03
31.77
0.77
1.08
3.65
15.38
72.99
ge varable cost
falls
.
ginal cost
falls
.
en MC and w/MP
L
.
3,000.00
I14
J14
K14
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