(Question 8 through 9)
Consider a population, which is devided into 3 age classes: Class I: from 0 to 6 months, Class II:
from 6 to 12 months and Class III: older than 12 months. Suppose that after each 6 months, the
average numbers of offsprings that each individual in Class I, Class II and Class III produces are 1,
4 and 4, respectively. The survival rates of Class I, Class II and Class III after each 6 months are
70%, 90% and 80%, respectively. Given that at the beginning, there are only 100 individuals in
Class I (there is no individual in Class II and Class III).
Question 8 (L.O.1, L.O.2). Find the Leslie matrix.
A. None of the others.
4 5 6
B. 0.8
0 0.7
0 0.9 0.1
0
D. 0.8
2
57
00
E.
0 0.9 1
0 1 4
0.8 0 0
0 0.9 0.7
1 4 4
C. 0.7 0 0
0 0.9 0.8
Question 9 (L.O.1, L.O.2). After 2 years, how many individuals are there in Class III? (Round
the answer to the nearest integer).
A. 3398.
D. None of the others.
Î’. 2430.
Ε. 638.
C. 330.
(Question 10 to Question 12)
Consider an economy with three industries: I, II and III with the input-ouput matrix
0.13 0.01 0.08
A= 0.025 0.18 0.075 In 2023, the total productions of the three industries are 4, 5 and 6
0.12 0.08 0.09
billions of dollars, respectively.
Question 10 (L.O.1, L.O.2). What does the value 0.08 in the row 1, collumn 3 of A mean?
A. The industry III provides 8% of its total production to the industry I.
B. None of the others.
C. The industry I provides 8% of its total production to the industry III.
D. In order to produce $1 production value in the industry III, we need $0.08 from the industry
I.
E. In order to produce $1 production value in the industry I, we need $0.08 from the industry
III.
Question 11 (L.O.1, L.O.2). In 2023, what is the external demand of the industry II? (Round
the answer to 3 decimal places).
A. 6.987.
B. None of the others.
D. 3.550.
Ε. 5.406.
C. 4.580.
