Q1. Following are different algebraic expressions of the production function. Decide whether each one has constant, increasing, or decreasing return to scale.
a. Q = 75L0.5L0.75
b. Q = 75A0.15B0.4C0.45
c. Q=100+50L+50K
d. Q=L2+50K2
Q2. The following table shows the relationship between output and number of workers in the short run. If the wage is $50/day, find the marginal cost of production.
Number of Workers
|
Output
|
0
|
0
|
1
|
50
|
2
|
110
|
3
|
300
|
4
|
450
|
5
|
590
|
6
|
665
|
7
|
700
|
8
|
725
|
9
|
740
|
10
|
735
|
Q3. For each of the following cost functions, find MC, AC, and AVC.
a. TC = 20,000 + 10 Q
b. TC = 18,000 + Q + 0.2 Q2