a)
Price | Demand | Supply |
0 | 100 | 0 |
2 | 90 | 10 |
4 | 80 | 20 |
6 | 70 | 30 |
8 | 60 | 40 |
10 | 50 | 50 |
12 | 40 | 60 |
14 | 30 | 70 |
16 | 20 | 80 |
18 | 10 | 90 |
20 | 0 | 100 |
At equilibrium, demand equals supply
100 - 5P = 5P
P = 10
At this Price, Q = 50
b) Demand equation: Q = 100 - 5P
100 is the intercept here and -5 is the slope.
Supply equation: Q = 5P
Slope of supply curve = 5 and intercept is 0.
c)
Producer surplus is area of portion B whose sum is (1/2) * (50 - 0) * (10 - 0) = 250 while consumer surplus is area of portion A whose sum is (1/2) * (50 - 0) * (20 - 10) = 250
d)
Price ceiling at $5 have supply of goods equal to 75 units while demand of 25 units which creates surplus of 75 - 25 = 50 units.
At price floor of $15, demand of goods is 75 units while supply is 25 units creating shortage of 75 - 25 = 50 units.
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