You are a manager at Glass Inc. a mirror and window supplier. Recently, you conducted
a study of the production process for your single-side encapsulated window. The results
from the study are summarized below and are based on the eight units of capital
currently available at your plant. Workers are paid $60 per unit, per unit capital costs
are $20, and your encapsulated windows sell for $12 each. Given this information,
optimize your human resource and production decisions. Do you anticipate earning a
profit or loss? Explain carefully.
Labor Output
0 0
1 10
2 30
3 60
4 80
5 90
6 95
7 95
8 90
9 80
10 60
11 30
There'll are currently 8 units of capital available at the plant.
labour output MP AP
0 0 0 0
1 10 10-0=10 10/1=10
2 30 30-10=20 30/2=15
3 60 60-30=30 60/3=20
4 80 80-60=20 80/4=20
5 90 90-80=10 90/5=14
6 95 95-90=5 95/6=15.8
7 95 95-95=0 95/7=13.5
8 90 90-95=-5 90/8=11.25
9 80 80-90=-10 80/9=8.89
10 60 60-80=-20 60/10=6
11 30 30-60=-30 30/11=2.9
Maximizing productivity on 3, 4 workers
Profit of maximization:
"80 \\cdot 12-60\\cdot4-20 \\cdot 8 = 560"
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