An economy is based on three sectors, coal, oil and transportation. Production of a dollar's worth of coal requires an input of $ 0.20 from the coal sector and $ 0.40 from the transportation sector. Production of a dollar’s worth of oil requires an input of $ 0.10 from the oil sector and $ 0.20 from the transportation sector. Production of a dollar’s worth of transportation requires an input of $ 0.40 from the coal sector, $ 0.20 from the oil sector, and $ 0.20 from the transportation sector. (A) Find the technology matrix M . (B) Find 1 − M − 1 (C) Find the output from each sector that is needed to satisfy a final demand of $ 30 billion for coal, $ 10 billion for oil and $ 20 billion for transportation.
An economy is based on three sectors, coal, oil and transportation. Production of a dollar's worth of coal requires an input of $ 0.20 from the coal sector and $ 0.40 from the transportation sector. Production of a dollar’s worth of oil requires an input of $ 0.10 from the oil sector and $ 0.20 from the transportation sector. Production of a dollar’s worth of transportation requires an input of $ 0.40 from the coal sector, $ 0.20 from the oil sector, and $ 0.20 from the transportation sector. (A) Find the technology matrix M . (B) Find 1 − M − 1 (C) Find the output from each sector that is needed to satisfy a final demand of $ 30 billion for coal, $ 10 billion for oil and $ 20 billion for transportation.
Solution Summary: The author explains the technology matrix based on the three sectors coal, oil, and transportation using the provided information.
An economy is based on three sectors, coal, oil and transportation. Production of a dollar's worth of coal requires an input of
$
0.20
from the coal sector and
$
0.40
from the transportation sector. Production of a dollar’s worth of oil requires an input of
$
0.10
from the oil sector and
$
0.20
from the transportation sector. Production of a dollar’s worth of transportation requires an input of
$
0.40
from the coal sector,
$
0.20
from the oil sector, and
$
0.20
from the transportation sector.
(A) Find the technology matrix
M
.
(B) Find
1
−
M
−
1
(C) Find the output from each sector that is needed to satisfy a final demand of
$
30
billion for coal,
$
10
billion for oil and
$
20
billion for transportation.
=
Q6 What will be the allowable bearing capacity of sand having p = 37° and ydry
19 kN/m³ for (i) 1.5 m strip foundation (ii) 1.5 m x 1.5 m square footing and
(iii)1.5m x 2m rectangular footing. The footings are placed at a depth of 1.5 m
below ground level. Assume F, = 2.5. Use Terzaghi's equations.
0
Ne
Na
Ny
35 57.8 41.4 42.4
40 95.7 81.3 100.4
Q1 The SPT records versus depth are given in table below. Find qan for the raft 12%
foundation with BxB-10x10m and depth of raft D-2m, the allowable
settlement is 50mm.
Elevation, m 0.5 2
2 6.5 9.5 13 18 25
No.of blows, N 11 15 29 32 30 44
0
estigate shear
12%
2
Chapter 4 Solutions
Finite Mathematics for Business, Economics, Life Sciences and Social Sciences Plus NEW MyLab Math with Pearson eText -- Access Card Package (13th Edition)
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