Basic Mathematics for Economists phần 2 ppsx
Basic Mathematics for Economists phần 2 ppsx
... any further. Example 3 .29 2x 2 x = 2x Example 3.30 4x 3 − 2x 2 + 10x x = x(4x 2 − 2x + 10) x = 4x 2 − 2x + 10 Example 3.31 16x + 120 x = 16 + 120 x © 1993, 20 03 Mike Rosser 2. Sketchtheapproximateshapesofthefollowingfunctionswhenxandyareallowed totakebothpositiveandnegativevalues. (a)y=4+0.1x 2 (b)y=0.01x 3 (c)y=10−x −1 3.Willthenon-lineardemandschedulep=570−0.4q 2 getflatt...
Ngày tải lên: 14/08/2014, 22:20
Basic Mathematics for Economists phần 9 ppsx
... 26 5 .22 375 .22 21 11 26 5.13 375.13 22 12 265.08 375.08 23 13 26 5.05 375.05 24 14 26 5.03 375.03 25 15 26 5. 02 375. 02 26 16 26 5.01 375.01 27 17 26 5.01 375.01 28 18 26 5.00 375.00 The basic method ... 1 28 6.60 396.60 12 2 27 7.96 387.96 13 3 27 2.78 3 82. 78 14 4 26 9.67 379.67 15 5 26 7.80 377.80 16 6 26 6.68 376.68 17 7 26 6.01 376.01 18 8 26 5....
Ngày tải lên: 14/08/2014, 22:20
Basic Mathematics for Economists phần 1 ppt
... physical analogies for powers other than 2 and 3, in mathematics one can encounter powers of any value. Example 2. 30 12 4 = 12 × 12 × 12 × 12 = 20 ,736 12 5 = 12 × 12 × 12 × 12 × 12 = 24 8,8 32 etc. To multiply ... correct answer. Test Yourself, Exercise 2. 2 1. 9 62 − 88 + 3 12 − 26 7 = 2. 24 0 − 20 × 3 ÷4 = 3. 300 × 82 ÷ 6 25 = 4. 360 ÷ 4 × 7 − 3 = 5. 6 × 12...
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Basic Mathematics for Economists phần 3 pdf
... 0.2Q ^2 2 3 Q TR 4 0 0 5 20 1 520 6 40 28 80 7 60 4080 8 80 5 120 9 100 6000 10 120 6 720 11 140 728 0 12 160 7680 13 180 7 920 14 20 0 8000 15 22 0 7 920 16 24 0 7680 17 26 0 728 0 18 28 0 ... 6 720 19 300 6000 20 320 5 120 21 340 4080 22 360 28 80 23 380 1 520 24 400 0 25 420 -1680 © 1993, 20 03 Mike Rosser A Demand B 0 q £ 9.99 2. 20 94 120 166 25 0...
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Basic Mathematics for Economists phần 4 pdf
... 701.55 25 21 5755.05 785.05 26 22 6 628 .40 873.35 27 23 7594.85 966.45 28 24 8659 .20 1064.35 29 25 9 826 .25 1167.05 30 26 11100.80 127 4.55 31 27 124 87.65 1386.85 32 28 13991.60 1503.95 33 29 ... 38 20 8 -3 52 19 -693 30 -550 41 77 21 8.5 -378 19.5 -697 30.5 -5 32 41.5 117 22 9 -403 20 -700 31 -513 42 158 23 9.5 - 427 20 .5 -7 02 31.5 -493 42. 5 20 0 24 10 -...
Ngày tải lên: 14/08/2014, 22:20
Basic Mathematics for Economists phần 5 ppt
... 80. 927 9 2. 15% 81.155 10 2. 20% 81.384 11 2. 25% 81.613 12 2.30% 81.844 13 2. 35% 82. 075 14 2. 40% 82. 307 15 2. 45% 82. 540 16 2. 50% 82. 773 17 2. 55% 83.008 18 2. 60% 83 .24 3 19 2. 65% 83.479 20 ... series 9 ,20 0 +9 ,20 0(1. 12) +9 ,20 0(1. 12) 2 +···+9 ,20 0(1. 12) 11 In this example a = 9 ,20 0, k = 1. 12 and n = 12. Therefore, the sum is GP n = 9 ,20 0(1...
Ngày tải lên: 14/08/2014, 22:20
Basic Mathematics for Economists phần 6 potx
... the output is 92 will be TR − TC = (460q − 2q 2 ) − (20 + 0.5q 2 ) = 460q − 2q 2 − 20 − 0.5q 2 = 460q − 2. 5q 2 − 20 = 460( 92) − 2. 5(8,464) 20 = 42, 320 − 21 ,160 20 = 21 ,140 © 1993, 20 03 Mike Rosser 3. ... costs TVC = 82q − 6q 2 + 0.2q 3 . Therefore, AV C = TVC q = 82 −6q + 0.2q 2 and MC = dTC dq = 82 −12q + 0.6q 2 Setting MC = AV C 82 −12q + 0.6q 2 = 82 −...
Ngày tải lên: 14/08/2014, 22:20
Basic Mathematics for Economists phần 7 potx
... 0.1q 2 Substituting q 1 + q 2 = q gives TR = 320 (q 1 + q 2 ) − 0.1(q 1 + q 2 ) 2 = 320 q 1 + 320 q 2 − 0.1(q 2 1 + 2q 1 q 2 + q 2 2 ) = 320 q 1 + 320 q 2 − 0.1q 2 1 − 0.2q 1 q 2 − 0.1q 2 2 Thus profit will ... 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 − 0.3q 2 1 + 498.5q...
Ngày tải lên: 14/08/2014, 22:20
Basic Mathematics for Economists phần 8 docx
... K 1 ,20 0 20 (L) 0.5 L 0 .25 (3.2L) 0.4 = 0 1 ,20 0 20 (3 .2) 0.4 L 1.15 = 0 60 = 1.5 924 287L 1.15 37.67 829 6 = L 1.15 23 .47 = L Substituting this value for L into (5) and (6) gives K = 23 .47 R = 3 .2( 23.47) ... 0 .25 q) 0.5 (−0. 625 ) +(650 − 0. 625 q)(−0. 125 )(650 − 0 .25 q) −0.5 = (650 −0 .25 q)(−0. 625 ) + (650 − 0. 625 q)(−0. 125 ) (650 −0 .25 q) 0.5 (2) Substituting the va...
Ngày tải lên: 14/08/2014, 22:20
Basic Mathematics for Economists phần 10 doc
... 24 x 2. x 2 + 4x + 93.2x 2 + 6x + xy + 3y 4. 42x 2 − 16y 2 − 34xy + 6y 5. 33x + 2y − 20 y 2 + 62xy − 21 6. 120 +2x + 54y + 40z −x 2 + 6y 2 + xy + 4xz + 8yz 7. 20 0q − 2q 2 8. 13x + 11y 9. 8x 2 + 60x ... 1993, 20 03 Mike Rosser 2. 9 1. 25 2. 2 3. 0 .2 4. 7 5. 2. 4494897 6. 96 7. 10 8. 5 .27 80316 9. 0.03 423 10. 87.977857 2. 10 1. 27 0,818.98 2. 22 0.9478 3....
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