Mathematics for Economics and Business An Interactive Introduction - Solutions Manual

19 Pages·2004·0.383 MB·English

by  Jean Soper

Q TR
TR
1 12
2 24 160
3 36 140
4 48
120
5 60
100
6 72
80
7 84
TR
60
8 96
9 108 40
10 120 20
11 132 0
12 144
0 2 4 6 8 10 12 14
Q AR AR
0 25
30
0.1 24.5
1 20 25
2 15
20
3 10
4 5 15
5 0 AR
10
5
0
-1 0 1 2 3 4 5 6
1.17 Q Q^2 AC
1 1 8.5 AC
2 4 9
80
3 9 10.5
70
4 16 13
5 25 16.5 60
6 36 21 50
7 49 26.5
40
8 64 33 AC
30
9 81 40.5
20
10 100 49
10
11 121 58.5
12 144 69 0
0 2 4 6 8 10 12 14
1.18 X Y
0 180 Y
0.1 180.005
800
100 185
700
1000 230
2000 280 600
3000 330 500
4000 380
400
5000 430 Y
300
6000 480
200
7000 530
100
8000 580
9000 630 0
10000 680 -2000 0 2000 4000 6000 8000 10000 12000
1.19 Q Q^2 Q^3 FC VC AVC TC AC AFC TR PROFIT
0 0 0 300 0 300 #DIV/0! 0 -300
1 1 1 300 31 31 331 331 300 99.5 -231.5
2 4 8 300 48 24 348 174 150 196 -152
3 9 27 300 57 19 357 119 100 286.5 -70.5
4 16 64 300 64 16 364 91 75 368 4
5 25 125 300 75 15 375 75 60 437.5 62.5
6 36 216 300 96 16 396 66 50 492 96
7 49 343 300 133 19 433 61.85714 42.85714 528.5 95.5
8 64 512 300 192 24 492 61.5 37.5 544 52
9 81 729 300 279 31 579 64.33333 33.33333 535.5 -43.5
10 100 1000 300 400 40 700 70 30 500 -200
800
770000
600
500 FC
VC
400 AVC
TC
300
AC
AFC
200
100
0
0 2 4 6 8 10 12
800
1.2
600
400
TC
200
TR
PROFIT
0
0 2 4 6 8 10 12
-200
-400
1.21 L K Q K Q APL L K Q
1 1 1 32 2 1 16 1 4
4 1 2 32 4 0.5 4 32 4
16 1 4 32 8 0.25 64 1 8
64 1 8 32 16 0.125 16 32 8
114444 11 1122 3322 2244 00..008833333333333333
Q
APL
14
1.2
12
1
10
0.8
8
0.6
6 Q
APL
4 0.4
2 0.2
0
0
0 50 100 150 200
0 50 100 150 200
q
35
30
25
e
tl 20
Ti
s
Axi 15 q
10 Linear (q)
y = -0.548x + 14.65
5
R² = 0.062
0
0 5 10 15 20
Axis Title
2.6 P QD QS P
30
1 270 4 1
2 260 8 2
25
3 250 12 3
4 240 16 4
5 230 20 5 20
6 220 24 6
7 210 28 7 15 QD
8 200 32 8
QS
9 190 36 9
10
10 180 40 10
11 170 44 11
5
12 160 48 12
13 150 52 13
0
14 140 56 14
0 50 100 150 200 250 300
15 130 60 15
1166 112200 6644 1166
17 110 68 17
18 100 72 18
19 90 76 19
20 80 80 20
21 70 84 21
22 60 88 22
23 50 92 23
24 40 96 24
25 30 100 25
26 20 104 26
27 10 108 27
28 0 112 28
2.7 P QS QD QSN QDN
1 18 144 9 72
2 30 138 15 69 30
3 42 132 21 66
4 54 126 27 63 25
5 66 120 33 60
6 78 114 39 57 20
QS
7 90 108 45 54
8 102 102 51 51 15 QD
9 114 96 57 48 QSN
10
10 126 90 63 45
QDN
11 138 84 69 42
5
12 150 78 75 39
13 162 72 81 36
0
14 174 66 87 33
0 50 100 150 200 250 300 350
15 186 60 93 30
1166 119988 5544 9999 2277
17 210 48 105 24
18 222 42 111 21
19 234 36 117 18
20 246 30 123 15
21 258 24 129 12
22 270 18 135 9
23 282 12 141 6
24 294 6 147 3
25 306 0 153 0
2.8 P QD QS QST
1 63 -2 -12 25
2 60 0 -10
3 57 2 -8
4 54 4 -6
20
5 51 6 -4
6 48 8 -2
7 45 10 0
8 42 12 2
15
9 39 14 4
10 36 16 6 QD
11 33 18 8 QS
12 30 20 10
QST
10
13 27 22 12
14 24 24 14
15 21 26 16
1166 1188 2288 1188
5
17 15 30 20
18 12 32 22
19 9 34 24
20 6 36 26
0
21 3 38 28
-20 -10 0 10 20 30 40 50 60 70
22 0 40 30
1000
900
2.12 X Y IC U
800
0 375 1 900 30
700
20 0 8 225 30
600
27 100 30
500 BL
400
IC
300
200
100
0
00 55 1100 1155 2200 2255 3300
2.18 Y0 1000
t 0.05*t E^0.05t
1 0.05 1.0512711 1051.271
2 0.1 1.1051709 1105.171
5 0.25 1.2840254 1284.025
10 0.5 1.6487213 1648.721
w 1/w 1+1/w
5 0.2 1.2 2.48832
50 0.02 1.02 2.691588
500 0.002 1.002 2.715569
5000 0.0002 1.0002 2.71801
9500 0.0001053 1.0001053 2.718139
14000 7.143E-05 1.0000714 2.718185 1316
18500 5.405E-05 1.0000541 2.718208 6580000
23000 4.348E-05 1.0000435 2.718223
2.23
50000
T
45000
1 1.45 21315.573
40000
2 1.8 30248.237
3 2.05 38839.506 35000
4 2.2 45125.067 30000
5 2.25 47438.679 25000
6 2.2 45125.067 Series1
20000
7 2.05 38839.506
15000
8 1.8 30248.237
10000
9 1.45 21315.573
5000
10 1 13591.409
11 0.45 7841.5609 0
12 -0.2 4093.6538 0 2 4 6 8 10 12 14 3424
13 -0.95 1933.7051 18.78738
4.17
YEAR SALES ln(SALES) SALES
0 40 3.6888795
12000
1 80.55011 4.3888795
10000
2 162.208 5.0888795
3 326.6468 5.7888795 8000
4 657.7859 6.4888795
6000
5 1324.618 7.1888795 SALES
4000
6 2667.453 7.8888795
2000
7 5371.591 8.5888795
8 10817.06 9.2888795 0
0 1 2 3 4 5 6 7 8 9
ln(SALES)
10
9
8
7
6
5
ln(SALES)
4
3
2
1
0
4.18 0 2 4 6 8 10
4.19 0 3000000
1 2790000 2790000
2 2594700 2580000
3 2413071 2370000
4 2244156 2160000
5 2087065.1 1950000
66 11994400997700..66 11774400000000
7 1805102.6 1530000