Basic Mathematics for Economists phần 9 ppsx

... initial sum formula A = ye −rt = 90 0 e −0.085(10) = 90 0 e −0.85 = 90 0 × 0.42741 49 = 384.67 Therefore, she will need to start with 385 animals, as you cannot have a fraction of an animal! © 199 3, 2003 ... –20e^–0.2t + 120 90 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 95 100 105 110 115 120 125 Figure 14.1 © 199 3, 2003 Mike Rosser Y 3 = C 3 + I 3 = (40 +0.6Y 2 ) +...

Ngày tải lên: 14/08/2014, 22:20

... buy 3,000 50 = 60 units of K © 199 3, 2003 Mike Rosser the inflation rate. Adjusted for inflation, the real price increase for food is thus 100  1.225 1.115 − 1  = 100(1. 099 −1) = 9. 9% Test Yourself, Exercise ... as before. © 199 3, 2003 Mike Rosser quantity axes? What is price if quantity sold is 25 units? How much would be sold at a price of 9? 3.ForthedemandscheduleP=60−0.2Qillustr...

Ngày tải lên: 14/08/2014, 22:20

... 0.2Q 3 © 199 3, 2003 Mike Rosser The profit-maximizing single price can be found from the demand schedule as p = 16 − 0.064q = 16 − 0.064 (93 .877) = 9. 99 This is higher than the £8.32 price for the ... demonstrated for the two-input function Q = AK α L β © 199 3, 2003 Mike Rosser From this reduced form we can directly predict the equilibrium value of Y for any given level of I . For...

Ngày tải lên: 14/08/2014, 22:20

... 28 -612 39 -73 17 6.5 -268 17.5 -675 28.5 - 598 39. 5 -37 18 7 - 297 18 -682 29 -583 40 0 19 7.5 -325 18.5 -688 29. 5 -567 40.5 38 20 8 -352 19 - 693 30 -550 41 77 21 8.5 -378 19. 5 - 697 30.5 -532 ... 2,000(1. 299 6) = £2, 599 .20 If this sum is then invested for a further 3 years at the new interest rate of 10% then the final sum is F = A(1 + i) n = 2, 599 .20(1.1) 3 = 2, 599 .20...

Ngày tải lên: 14/08/2014, 22:20

... 1. 39% 394 .26 17 18.25% 1.41% 395 .08 18 18.50% 1.42% 395 .90 19 18.75% 1.44% 396 .73 20 19. 00% 1.46% 397 .55 21 19. 25% 1.48% 398 .37 22 19. 50% 1.50% 399 . 19 23 19. 75% 1.51% 400.01 << Solution 24 ... be 200(1.05) 14 = 395 .98 632 = 396 (to nearest whole unit) Over the remaining 10 weeks the total sales will therefore be 396 (0 .9) + 396 (0 .9) 2 +···+ 396 (0 .9) 10 In...

Ngày tải lên: 14/08/2014, 22:20

... 90 10 28800 1600 160 8 81 1 27378 178 178 9 80.1 0.1 27217 .98 17 .98 1 79. 8 10 80.01 0.01 27201. 799 8 1. 799 8 1 79. 98 11 80.001 0.001 27200.18 0.1 799 98 1 79. 998 12 80.0001 0.0001 27200.018 0.01 799 998 ... 27200.018 0.01 799 998 1 79. 999 8 13 80.00001 0.00001 27200.0018 0.001800000 1 79. 999 9802 Test Yourself, Exercise 8.3 1. Given the demand schedule p = 120 − 3q derive a func...

Ngày tải lên: 14/08/2014, 22:20

... 0.3q 2 1 + 498 .5q 2 − 0.2q 2 2 − 0.2q 1 q 2 =−16 + 598 .8( 699 .1) − 0.3( 699 .1) 2 + 498 .5( 896 .7) − 0.2( 896 .7) 2 − 0.2( 699 .1)( 896 .7) = £432, 797 .02 © 199 3, 2003 Mike Rosser First-order conditions require ∂G ∂K = ... = q 2 Substituting this value for q 2 into (1) 598 .8 − 0.6q 1 − 0.2( 896 .7) = 0 598 .8 − 1 79. 34 = 0.6q 1 4 19. 46 = 0.6q 1 699 .1 = q 1 Checking second-order...

Ngày tải lên: 14/08/2014, 22:20

... 15. 09 0.28 16 6 100 .93 75 14 .95 -0.14 17 7 99 .53125 15.02 0.07 18 8 100.23438 14 .99 -0.04 19 9 99 .882813 15.01 0.02 20 10 100.058 59 15.00 -0.01 © 199 3, 2003 Mike Rosser ... 247.73438 14.03 -16.61 17 7 48. 398 438 38 .95 24 .92 18 8 347.40234 1.57 -37.38 19 9 -101.10352 57.64 56.06 20 10 571.65527 -26.46 -84. 09 © 199 3, 2003 Mike Rosser for price P 1 , correspon...

Ngày tải lên: 14/08/2014, 22:20

... Hessian matrix. © 199 3, 2003 Mike Rosser 2 .9 1. ±25 2. 2 3. 0.2 4. 7 5. 2.4 494 897 6. 96 7. 10 8. 5.2780316 9. 0.03423 10. 87 .97 7857 2.10 1. 270,818 .98 2. 220 .94 78 3. 2.8563 ×10 9 4. 1.5728 ×10 8 5. ... 24 41 9 3 0 1 317 6 6 5 0 -1 3 -7 35 7 9 11 39 23 15 0 678 8 28 49 4 5 9 7 391 9 Inverse A^-1 A^-1*b = x 10 -0.0453 0.08783 0.1 196 9 0.32077 -0.0634 -0.13 39 solutio...

Ngày tải lên: 14/08/2014, 22:20