Basic Mathematics for Economists - Rosser - Chapter 9 pptx
... 0% and 100%. Therefore c will take a value between 0 and 1 and so the second-order condition for a maximum will be met. © 199 3, 2003 Mike Rosser The second-order condition for a minimum is met ... variable. Example 9. 2 Show that TR is a maximum when q is 18 for the non-linear demand schedule. p = 194 .4 − 0.2q 2 Solution TR = pq = ( 194 .4 − 0.2q 2 )q = 194 .4q − 0.2q 3 For a sta...
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... manually. To illustrate this point, if you have an old basic calculator, use it to answer the problem 10 3 × 3 = ? You may get the answer 9. 999 999 9. However, if you use a modern mathematical calculator you ... on from each other, each chapter assumes that students are familiar with material covered in previous chapters. It is therefore very important that you © 199 3, 2003 Mike Rosse...
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... 12 2 115 14.25 -2 .25 13 3 92 .5 15.38 1.13 14 4 103.75 14.81 -0 .56 15 5 98 .125 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 ... 2. 19 12 2 183.75 22.03 -3 .28 13 3 144.375 26 .95 4 .92 14 4 203.4375 19. 57 -7 .38 15 5 114.84375 30.64 11.07 16 6 247.73438 14.03 -1 6.61 17 7 4...
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Basic Mathematics for Economists - Rosser - Chapter 4 potx
... mathematical form of the relationship is not actually known then a function may be written in what is called a general form. For example, a general form demand © 199 3, 2003 Mike Rosser ... graph? © 199 3, 2003 Mike Rosser has been entered only the calculated value appears in the cell where the formula is. However, when you put the cursor on a cell containing a formula, the full formula...
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Basic Mathematics for Economists - Rosser - Chapter 5 ppsx
... so that MC 1 = MC 2 = MC Therefore q = q 1 + q 2 = (2MC −85) + (0.5MC − 65) q = 2.5MC − 150 60 + 0.4q = MC (1) © 199 3, 2003 Mike Rosser A Demand B 0 q £ 9. 99 2.20 94 120 166 250 MRЈ 60 16.00 12.16 MC MR 8.32 Figure ... break-even output? 5. If y = 16 + 22x and y =−2.5 + 30.8x, solve for x and y. © 199 3, 2003 Mike Rosser From this new reduced form equation we can see that (when I i...
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Basic Mathematics for Economists - Rosser - Chapter 6 pps
... 27 -6 37 38 -1 42 15 5.5 -2 07 16.5 -6 58 27.5 -6 25 38.5 -1 08 16 6 -2 38 17 -6 67 28 -6 12 39 -7 3 17 6.5 -2 68 17.5 -6 75 28.5 -5 98 39. 5 -3 7 18 7 -2 97 18 -6 82 29 -5 83 40 0 19 7.5 -3 25 18.5 -6 88 29. 5 ... 29. 5 -5 67 40.5 38 20 8 -3 52 19 -6 93 30 -5 50 41 77 21 8.5 -3 78 19. 5 -6 97 30.5 -5...
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Basic Mathematics for Economists - Rosser - Chapter 7 pps
... 0 .95 2381 0 .94 3 396 0 .93 45 79 0 .92 592 6 0 .91 7431 0 .96 1538 0 .95 2381 0 .94 3 396 0 .93 45 79 0 .92 592 6 0 .91 7431 2 0 .92 4556 0 .90 70 29 0.8 899 96 0.8734 39 0.8573 39 0.84168 0 .92 4556 0 .90 70 29 0.8 899 96 0.8734 39 0.8573 39 ... 0.820815 0.7 195 74 0.268103 0. 192 920 0.60 0 .93 0731 0.866260 0.806255 0. 698 427 0.23 794 9 0.166 190 0.65 0 .92 5 197 0.85 599 1 0....
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Basic Mathematics for Economists - Rosser - Chapter 8 doc
... 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...
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