a) Option A has lowest profit level, but with the passage of time, it has increased at the highest level. On the other hand, in Option B, the profits initially are the greatest but they have declined with each passing year, to the point that there is no profit in the final year. Option C implies that the stream of profits is consistent each year.
b) Present Value of Option A= 251600.85
Present Value of Option B = 1883720
Present Value of Option C= 251600
The option B is the most viable as it has the highest present value.
Question 2
The significant change in the revenue suggests that company is utilizing its plant in a better manner and there asset utilizations have improved. The company must go ahead with the new campaign. The reason for going ahead with the new campaign is. If one looks at the fixed cost, it has not changed as the advertisement is a variable cost. The increase in the revenue is around 10 million after the advertisements are being accounted for. At the same time, variable costs have increased by 3 million.
Question 7
The inverse demand curve would be given by P = 40 - 0.1Q
The consumer surplus at Price of $ 10 would be (40 -10)/2 x 300 = 4500
The consumer surplus at Price of $ 30 would be ( 40 - 30)/2 x 100 = 500
The generally speaking is that with the decrease in price, the consumer surplus generally increases.
Problem Set Number 3
Question 1
L
K
Q
MPL
APK
APL
VMPL
0
120
0
-
-
-
-
1
120
400
400
3.333
400
1200
2
120
1300
900
10.833
750
2700
3
120
2700
1400
22.5
900
4200
4
120
3300
600
27.5
825
1200
5
120
3600
300
30
720
900
6
120
3700
100
30.833
616.666
300
7
120
3760
60
31.333
537.142
180
8
120
3800
40
31.666
475
120
9
120
3200
-600
26.666
355.555
-1800
10
120
2500
-700
20.833
250
-2100
The fixed inputs are the capital while the labor is the variable input
The firms fixed costs are those $ 120.
The variable costs of producing 3600 units is 15 x 5, which is $ 75.
For maximization of the profits, firm must be producing 3800 units, cause at that production level, the Value Marginal Product of Labor is closest to the wage rate.
The maximum profit which is 3800 x 8, which equals 30,400.
The marginal returns are increasing till the fourth unit is being produced, on the other hand, the declining marginal returns are seen when the 8th unit is produced, lastly, the negative returns are seen when production exceed the ninth unit.
Question 4
Q
FC
VC
TC
AFC
ATC
MC
0
25000
0
25000
-
-
-
100
25000
35000
60000
250
6000
35000
200
25000
55000
80000
125
4000
55000
300
25000
65000
90000
83.333
3000
65000
400
25000
1575000
1600000
62.5
4000
1575000
500
25000
2975000
3000000
50
6000
2975000
600
25000
5375000
5400000
41.666
9000
5375000
Question 7
Fixed Cost
Labor
Q
MPL
VMPL
1200
0
0
-
1200
1
700
700
1400
1200
2
1000
300
6000
1200
3
1200
200
4000
1200
4
1300
100
2000
1200
5
1350
50
1000
1200
6
1375
25
500
Problem Set 4
Question 1
The index is calculated by taking the square of each HHI =2421.875