Basic Mathematics for Economists phần 7 potx
Basic Mathematics for Economists phần 7 potx
... 31K
0.3
K
1.8
=
31(186)
3
42
3
= 2, 692.481
K = 80. 471 179 (4)
Substituting (4) into (1)
L
0.25
=
42
186
(80. 471 179 )
0 .7
= 4. 871 7455
L = (L
0.25
)
4
= (4. 871 7455)
4
= 563.29822
Therefore, first-order conditions suggest ... p
1
q
1
+ p
2
q
2
= p
1
(5 17 − 3.5p
1
+ 0.8p
2
) + p
2
(77 0 − 4.4p
2
+ 1.4p
1
)
= 517p
1
− 3.5p
2
1
+ 0.8p
1
p
2
+ 77 0p
2
− 4.4p
2
2
+ 1.4p
1
p
2
= 517p
1
−...
Basic Mathematics for Economists phần 6 potx
... 160
8 81 1 273 78 178 178
9 80.1 0.1 272 17. 98 17. 98 179 .8
10 80.01 0.01 272 01 .79 98 1 .79 98 179 .98
11 80.001 0.001 272 00.18 0. 179 998 179 .998
12 80.0001 0.0001 272 00.018 0.0 179 9998 179 .9998
13 80.00001 ... A7 formula
down column A
Calculates a series of values of q that increase by
smaller and smaller increments each time.
C7
=500*A7-2*A7^2
Calculates TR corresponding to va...
Basic Mathematics for Economists phần 1 ppt
... 18
Example 2. 17
44
7
÷
8
49
=
44
7
×
49
8
=
11
1
×
7
2
=
77
2
= 38
1
2
Test Yourself, Exercise 2.4
1.
1
6
+
1
7
+
1
8
=
2.
3
7
+
2
9
−
1
4
=
3.
2
5
×
60
7
×
21
15
=
4.
4
5
÷
24
19
=
5. 4
2
7
− 1
2
3
=
6. ... we subtract the log of the denominator since
56,200 ÷ 3,484 = 10
4 .74 973 63
÷ 10
3.542 078 1
= 10
4 .74 973 63−3.542 078 1
= 10
1.2 076 582
= 1.6130884
Note that when...
Basic Mathematics for Economists phần 2 ppsx
... on
Table 3.1
Student no. 12345 678 9101112
Height (cm) 178 175 170 166 168 185 169 189 175 181 177 180
Weight (kg) 72 68 58 52 55 82 55 86 70 71 65 68
© 1993, 2003 Mike Rosser
8.Yousell900sharesviayourbrokerwhochargesaflatrateofcommissionof£20
onalltransactionsoflessthan£1,000.Yourbankaccountiscreditedwith£340
fromthesharesale.Whatpricewereyoursharessoldat?
9.Yournetmonthlysalaryis£1,950.Yo...
Basic Mathematics for Economists phần 3 pdf
... 4. 17 TR = 80 - 0.2Q^2
2
3 Q TR
4 0 0
5 20 1520
6 40 2880
7 60 4080
8 80 5120
9 100 6000
10 120 672 0
11 140 72 80
12 160 76 80
13 180 79 20
14 200 8000
15 220 79 20
16 240 76 80
17 260 ... schedule. Thus
p = 375 − 2.5q = 375 − 2.5
320 − 55t
6.5 + 4t
=
2,4 37. 5 + 1,500t − 800 + 1 37. 5t
6.5 + 4t
=
1,6 37. 5 + 1,6 37. 5t
6.5 + 4t
=
1,6 37. 5(1 + t)
6.5 + 4t
To che...
Basic Mathematics for Economists phần 4 pdf
... 35.5 -2 97
10 3 - 37 14 -598 25 - 675 36 -268
11 3.5 -73 14.5 -612 25.5 -6 67 36.5 -238
12 4 -108 15 -625 26 -658 37 -2 07
13 4.5 -142 15.5 -6 37 26.5 -648 37. 5 - 175
14 5 - 175 16 -648 27 -6 37 38 ...
15 5.5 -2 07 16.5 -658 27. 5 -625 38.5 -108
16 6 -238 17 -6 67 28 -612 39 -73
17 6.5 -268 17. 5 - 675 28.5 -598 39.5 - 37
18 7 -2 97 18 -682 29 -583 40 0
19 7. 5 -3...
Basic Mathematics for Economists phần 5 ppt
... 20000 7% 177 06. 57
8 4 25000 8% 14864. 67
9 5 25000 9% 12152.86
10 6 12000 10% 9563.64
11 11% 70 90.04
12 IRR = 14.14% 12% 472 5.54
13 13% 2464.06
14 14% 299.94
15 15% - 177 2.14
16 16% - 375 7.14
17 17% ... 1.26% 388. 47
10 16.50% 1.28% 389.30
11 16 .75 % 1.30% 390.13
12 17. 00% 1.32% 390.95
13 17. 25% 1.33% 391 .78
14 17. 50% 1.35% 392.61
15 17. 75% 1. 37% 393.43
16 18.00% 1....
Basic Mathematics for Economists phần 8 docx
...
13 3 144. 375 26.95 4.92
14 4 203.4 375 19. 57 -7. 38
15 5 114.84 375 30.64 11. 07
16 6 2 47. 73438 14.03 -16.61
17 7 48.398438 38.95 24.92
18 8 3 47. 40234 1. 57 - 37. 38
19 9 -101.10352 57. 64 56.06 ... 20K
0.5
L
0.25
R
0.4
= 20(23. 47)
0.5
(23. 47)
0.25
(75 .1)
0.4
= 1,200
The cheapest cost level for producing this output will therefore be
20K + 10L + 5R = 20(23.4) + 10(23...
Basic Mathematics for Economists phần 9 ppsx
... 277 .96 3 87. 96
13 3 272 .78 382 .78
14 4 269. 67 379 . 67
15 5 2 67. 80 377 .80
16 6 266.68 376 .68
17 7 266.01 376 .01
18 8 265.60 375 .60
19 9 265.36 375 .36
20 10 265.22 375 .22
21 11 265.13 375 .13 ... 265.13 375 .13
22 12 265.08 375 .08
23 13 265.05 375 .05
24 14 265.03 375 .03
25 15 265.02 375 .02
26 16 265.01 375 .01
27 17 265.01 375 .01
28 18 265.00 375 .00
T...
Basic Mathematics for Economists phần 10 doc
... 2. 2 3. 0.2 4. 7 5. 2.44948 97
6. 96 7. 10
8. 5. 278 0316 9. 0.03423 10. 87. 977 8 57
2.10 1. 270 ,818.98 2. 220.9 478 3. 2.8563 ×10
9
4. 1. 572 8 ×10
8
5. 1.2683 6. 16,552, 877 7. 93.696 376 8. 4.38228
9. ... 2. £314 .70 3. £ 17, 623.16
4. 74 4 .71 5. £40,441.40 6. £5,030.03
7. 2 1. £43 ,74 7.41;12.68% 2. £501,159 .74 ; 7. 44% 3. (a) APR 11.35%
4. £2,083.61; 19.25% 5. £625; 5.09% 6....