Basic Mathematics for Economists phần 5 ppt
Basic Mathematics for Economists phần 5 ppt
... REPAYMENT
4 15. 00% 1.17% 384.32
5 15. 25% 1.19% 3 85. 15
6 15. 50% 1.21% 3 85. 98
7 15. 75% 1.23% 386.81
8 16.00% 1.24% 387.64
9 16. 25% 1.26% 388.47
10 16 .50 % 1.28% 389.30
11 16. 75% 1.30% 390.13 ... rate= 15%
2
3 YEAR RETURN PV
4 0 - 250 00 - 250 00
5 1 50 00 4347.83
6 2 6000 453 6.86
7 3 10000 657 5.16
8 4 10000 57 17 .53
9 5 10000 4971.77
10
11 NPV = 1149. 15...
Basic Mathematics for Economists phần 1 ppt
... schedule.
Solution
Price fall is £ 150 and quantity rise is 150 . Therefore using the concept of arc elasticity
e =
150
600 + 750
150
350 + 200
=
150
1, 350
150
55 0
=
150
1, 350
×
55 0
150
=
1
27
×
11
1
=
11
27
£
D
0 ... powers and then evaluate.
1.
√
6 25 =
2.
3
√
8 =
3. 5
0 .5
× 5
−1 .5
=
4. (7)
0 .5
× (7)
0 .5
=
5. 6
0.3
× 6
−0.2
× 6
0.4
=
6. 12 × 4
0.8
× 4
0.7...
Basic Mathematics for Economists - Rosser - Overview pptx
... horizontally
5 Linear equations
5. 1 Simultaneous linear equation systems
5. 2 Solving simultaneous linear equations
5. 3 Graphical solution
5. 4 Equating to same variable
5. 5 Substitution
5. 6 Row operations
5. 7 ... Francis e-Library, 2003.
ISBN 0-203-42263 -5 Master e-book ISBN
ISBN 0-203-42439 -5 (Adobe eReader Format)
© 1993, 2003 Mike Rosser
Basic Mathematics for Econ...
Basic Mathematics for Economists phần 2 ppsx
... Exercise 3.7
1. Solve for x when 16x = 2x + 56 .
2. Solve for x when
14 =
6 +4x
5x
3. Solve for x when 45 = 24 + 3x.
4. Solve for x if 5x
2
+ 20 = 1,000.
5. If q = 56 0 − 3p solve for p when q = 314.
6. ... on
Table 3.1
Student no. 123 456 789101112
Height (cm) 178 1 75 170 166 168 1 85 169 189 1 75 181 177 180
Weight (kg) 72 68 58 52 55 82 55 86 70 71 65 68
© 1993, 2003...
Basic Mathematics for Economists phần 3 pdf
... schedule. Thus
p = 3 75 − 2.5q = 3 75 − 2 .5
320 − 55 t
6 .5 + 4t
=
2,437 .5 + 1 ,50 0t − 800 + 137.5t
6 .5 + 4t
=
1,637 .5 + 1,637.5t
6 .5 + 4t
=
1,637 .5( 1 + t)
6 .5 + 4t
To check this reduced form equation, ... Rosser
Solution
Multiplying(1)by229x+6y+90z=680
Adding(2)25x−6y−32z=82
(2)
Gives54x +58 z=762(4)
Havingusedequations(1)and(2)toeliminateywenowneedtobringinequation(3)...
Basic Mathematics for Economists phần 4 pdf
...
5 1 447. 05 27. 05 b = 32 .5
6 2 466.40 19. 35 c = -6. 25
7 3 482. 85 16. 45 d = 0.8
8 4 50 1.20 18. 35
9 5 526. 25 25. 05
10 6 56 2.80 36 .55
11 7 6 15. 65 52. 85
12 8 689.60 73. 95
13 9 789. 45 99. 85 ... 920.00 130 .55
15 11 1086. 05 166. 05
16 12 1292.40 206. 35
17 13 154 3. 85 251 . 45
18 14 18 45. 20 301. 35
19 15 2201. 25 356 . 05
20 16 2616...
Basic Mathematics for Economists phần 6 potx
... Exercise 8.4
1. If TC = 65 +q
1 .5
what is MC when q = 25?
2. Derive a formula for MC if TC = 4q
3
− 20q
2
+ 60q + 40.
3. If TC = 0.5q
3
− 3q
2
+ 25q + 20 derive functions for: (a) MC, (b) AC, (c) ... =−0.4.
Substituting these values into the elasticity formula
e = (−1)
p
q
∂q
∂p
= (−1)
24
35 −0.4(24) +0.15m − 0.25p
c
+ 0.12p
s
+ 0.003n
(−0.4)
=
9.6
25. 4 +0.15m −0.25p
c
+ 0.12p
s
+...
Basic Mathematics for Economists phần 7 potx
... giving
3L
0 .5
12.5K
0 .5
= λ (2)
∂G
∂λ
= 1, 250 − 25K
0 .5
L
0 .5
= 0 (3)
Setting (1) equal to (2)
12K
0 .5
12.5L
0 .5
=
3L
0 .5
12.5K
0 .5
4K = L (4)
Substituting (4) into (3)
1, 250 − 25K
0 .5
(4K)
0 .5
= 0
1, 250 ... giving
12.5L
0 .5
12K
0 .5
= λ (5)
∂G
∂L
= 12.5K
0 .5
L
−0 .5
− 3λ = 0 giving
12.5K
0 .5
3L
0 .5
= λ (6)
∂G
∂λ
= 600 − 12K − 3L = 0 (7)
Setting (5) equal to...
Basic Mathematics for Economists phần 8 docx
... ( 650 − 0.25q)
0 .5
( 650 −0.625q) = 0
Let
u = ( 650 − 0.25q)
0 .5
and v = 650 − 0.625q
giving
du
dq
= 0 .5( 650 −0.25q)
−0 .5
(−0. 25) =−0.1 25( 650 −0.25q)
−0 .5
using the chain rule and
dv
dq
=−0.6 25
Therefore, ... and
dv
dq
=−0.6 25
Therefore, employing the product rule
d
2
TR
dq
2
= u
dv
dq
+ v
du
dq
= ( 650 − 0.25q)
0 .5
(−0.6 25) +( 650 − 0.625q)(−0.1 25) ( 650 − 0.25q)
−0 .5...
Basic Mathematics for Economists phần 9 ppsx
... 379.67
15 5 267.80 377.80
16 6 266.68 376.68
17 7 266.01 376.01
18 8 2 65. 60 3 75. 60
19 9 2 65. 36 3 75. 36
20 10 2 65. 22 3 75. 22
21 11 2 65. 13 3 75. 13
22 12 2 65. 08 3 75. 08
23 13 2 65. 05 3 75. 05
24 ... 12 2 65. 08 3 75. 08
23 13 2 65. 05 3 75. 05
24 14 2 65. 03 3 75. 03
25 15 2 65. 02 3 75. 02
26 16 2 65. 01 3 75. 01
27 17 2 65. 01 3 75. 01
28 18 2 65. 00 3...
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