Basic Mathematics for Economists phần 1 ppt

... is 15 0 and quantity rise is 15 0. Therefore using the concept of arc elasticity e = 15 0 600 + 750 15 0 350 + 200 = 15 0 1, 350 15 0 550 = 15 0 1, 350 × 550 15 0 = 1 27 × 11 1 = 11 27 £ D 0 40 10 0 12 060 ... fractions. 0 .1 = 1/ 10 0. 01 = 1/ 100 0.0 01 = 1/ 1,000 etc. Thus 0.234 is equivalent to 234 /1, 000. © 19 93, 2003 Mike Rosser Basic Mathematics for Ec...

Ngày tải lên: 14/08/2014, 22:20

... 20000 7% 17 706.57 8 4 25000 8% 14 864.67 9 5 25000 9% 12 152.86 10 6 12 000 10 % 9563.64 11 11 % 7090.04 12 IRR = 14 .14 % 12 % 4725.54 13 13 % 2464.06 14 14 % 299.94 15 15 % -17 72 .14 16 16 % -3757 .14 17 17 % ... 385 .15 6 15 .50% 1. 21% 385.98 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...

Ngày tải lên: 14/08/2014, 22:20

... variables 10 .5 Total differentials and total derivatives 11 Constrained optimization 11 .1 Constrained optimization and resource allocation 11 .2 Constrained optimization by substitution 11 .3 The ... to Second Edition Acknowledgements 1 Introduction 1. 1 Why study mathematics? 1. 2 Calculators and computers 1. 3 Using the book 2 Arithmetic 2 .1 Revision of basic concepts 2.2...

Ngày tải lên: 06/07/2014, 07:20

... increase will be  p 1 i x i  p 0 i x i = 1, 944 +1, 666 +1, 012 + 910 + 2 ,16 0 + 7 81 + 1, 176 + 1, 500 1, 800 +1, 360 + 770 + 840 + 2 ,12 0 + 682 + 1, 128 + 1, 300 = 11 ,14 9 10 ,000 = 1. 115 This means that, ... measuring how much, on Table 3 .1 Student no. 12 345678 910 111 2 Height (cm) 17 8 17 5 17 0 16 6 16 8 18 5 16 9 18 9 17 5 18 1 17 7 18 0 Weight (kg) 7...

Ngày tải lên: 14/08/2014, 22:20

... D E 1 Ex 4 .17 TR = 80 - 0.2Q^2 2 3 Q TR 4 0 0 5 20 15 20 6 40 2880 7 60 4080 8 80 512 0 9 10 0 6000 10 12 0 6720 11 14 0 7280 12 16 0 7680 13 18 0 7920 14 200 8000 15 220 7920 16 240 ... applies. 1. MR 1 = 30 − 0.01Q 1 and MR 2 = 40 − 0.02Q 2 2. MR 1 = 80 − 0.4Q 1 and MR 2 = 71 − 0.5Q 2 3. MR 1 = 48.75 − 0 .12 5Q 1 and MR 2 = 75 − 0.3Q 2 and MR 3 = 12 0...

Ngày tải lên: 14/08/2014, 22:20

... 11 10 86.05 16 6.05 16 12 12 92.40 206.35 17 13 15 43.85 2 51. 45 18 14 18 45.20 3 01. 35 19 15 22 01. 25 356.05 20 16 2 616 .80 415 .55 21 17 3096.65 479.85 22 18 3645.60 548.95 23 19 4268.45 622.85 ... 466.40 19 .35 c = -6.25 7 3 482.85 16 .45 d = 0.8 8 4 5 01. 20 18 .35 9 5 526.25 25.05 10 6 562.80 36.55 11 7 615 .65 52.85 12 8 689.60 73.95 13 9 789.45 99.85...

Ngày tải lên: 14/08/2014, 22:20

... 90 10 28800 16 00 16 0 8 81 1 27378 17 8 17 8 9 80 .1 0 .1 27 217 .98 17 .98 17 9.8 10 80. 01 0. 01 272 01. 7998 1. 7998 17 9.98 11 80.0 01 0.0 01 27200 .18 0 .17 9998 17 9.998 12 80.00 01 0.00 01 27200. 018 0. 017 99998 ... differentiation. Substituting (2) into (1) we get Y = a + bY + I Y (1 − b) = a + I Y = a + I 1 −b = a 1 −b + I 1 −b Therefore dY dI = 1 1 −...

Ngày tải lên: 14/08/2014, 22:20

... 4.4p 2 + 1. 4p 1 ) = 517 p 1 − 3.5p 2 1 + 0.8p 1 p 2 + 770p 2 − 4.4p 2 2 + 1. 4p 1 p 2 = 517 p 1 − 3.5p 2 1 + 770p 2 − 4.4p 2 2 + 2.2p 1 p 2 First-order conditions for a maximum are ∂TR ∂p 1 = 517 − 7p 1 + ... 0.2q 2 2 − (16 + 1. 2q 1 + 1. 5q 2 + 0.2q 1 q 2 ) = 600q 1 − 0.3q 2 1 + 500q 2 − 0.2q 2 2 − 16 − 1. 2q 1 − 1. 5q 2 − 0.2q 1 q 2 = 16 + 598.8q 1...

Ngày tải lên: 14/08/2014, 22:20

... = 10 0 9 t Qt Pt in Pt 10 0 16 0 12 .00 Stability => STABLE 11 1 70 16 .50 4.50 12 2 11 5 14 .25 -2.25 13 3 92.5 15 .38 1. 13 14 4 10 3.75 14 . 81 -0.56 15 5 98 .12 5 15 .09 0.28 16 6 10 0.9375 14 .95 ... Quantity = 16 8 9 t Qt Pt in Pt 10 0 17 5 23 .13 Stability => UNSTABLE 11 1 157.5 25. 31 2 .19 12 2 18 3.75 22.03 -3.28 13 3 14 4.375 26.95 4.92 14...

Ngày tải lên: 14/08/2014, 22:20

... + 12 0 90 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 95 10 0 10 5 11 0 11 5 12 0 12 5 Figure 14 .1 © 19 93, 2003 Mike Rosser Y 3 = C 3 + I 3 = (40 +0.6Y 2 ) + 11 0 = 40 +0.6(387.96) + 11 0 = ... 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 22 12 265.08 375.08 23 13 265.05 375.05 24...

Ngày tải lên: 14/08/2014, 22:20