Solution
Komalavalli answered on
Sep 17 2021
basecase
Process 1 Process 2 Process 3 Process 4 Process 5 Process 6 Process 7 Process 8 Process 9 Process 10
L 5 6 7 8.5 10.5 13.5 17 23 32 45
K 30 22 17 12.5 9 6.5 4.5 2.5 1.5 1
w 15
r 7.5
cost coeff 300 255 232.5 221.25 225 251.25 288.75 363.75 491.25 682.5
q1 q2 q3 q4 q5 q6 q7 q8 q9 q10
Production 436865560.40787 63161294.3963188 94741936.5944782 110532257.693558 105268817.327198 68424734.7626787 15790331.0990798 -89478476.2281181 -268435448.684355 -536870907.368709
min cost -291,745,887,094
production target 100.0000001192 = 100
Total inputs
L 2,184,327,802.04 378,967,766.38 663,193,556.16 939,524,190.40 1,105,322,581.94 923,733,919.30 268,435,628.68 0 0 0 6,463,505,444.89
K 13,105,966,812.24 1,389,548,476.72 1,610,612,922.11 1,381,653,221.17 947,419,355.94 444,760,775.96 71,056,489.95 0 0 0 18,951,018,054.08
price of the good 250
profit -239,085,192,079
tax K
Process 1 Process 2 Process 3 Process 4 Process 5 Process 6 Process 7 Process 8 Process 9 Process 10
L 5 6 7 8.5 10.5 13.5 17 23 32 45
K 30 22 17 12.5 9 6.5 4.5 2.5 1.5 1
w 15
r 8.625
cost coeff 333.75 279.75 251.625 235.3125 235.125 258.5625 293.8125 366.5625 492.9375 683.625
q1 q2 q3 q4 q5 q6 q7 q8 q9 q10
Production 143568385.009102 82861116.2176787 126017942.37272 151048901.542643 151336613.71701 115372591.921143 61282703.1401582 -50349620.5142143 -244267626.037532 -536870907.368709
min cost -284,114,353,262
production target 100 = 100
Total inputs
L 717,841,925.05 497,166,697.31 882,125,596.61 1,283,915,663.11 1,589,034,444.03 1,557,529,990.94 1,041,805,953.38 0 0 0 7,569,420,270.42
K 4,307,051,550.27 1,822,944,556.79 2,142,305,020.34 1,888,111,269.28 1,362,029,523.45 749,921,847.49 275,772,164.13 0 0 0 12,548,135,931.75
price of the good 250
profit -221,768,951,468
Q2
SUMMARY OUTPUT
Regression Statistics
Multiple R 0.97
R Square 0.94
Adjusted R Square 0.94
Standard E
or 0.19
Observations 27
ANOVA
df SS MS F Significance F
Regression 2 14.21 7.11 200.25 0.00
Residual 24 0.85 0.04
Total 26 15.06
Coefficients Standard E
or t Stat P-value Lower 95% Upper 95%
Intercept 1.17 0.33 3.58 0.00 0.50 1.85
LN(L) 0.60 0.13 4.79 0.00 0.34 0.86
LN(K) 0.38 0.09 4.40 0.00 0.20 0.55
Q2 f
Process 1 Process 2 Process 3 Process 4 Process 5 Process 6 Process 7 Process 8 Process 9 Process 10
L 5 6 7 8.5 10.5 13.5 17 23 32 45
K 30 22 17 12.5 9 6.5 4.5 2.5 1.5 1
w 15.8
r 10
cost coeff 379 314.8 280.6 259.3 255.9 278.3 313.6 388.4 520.6 721
q1 q2 q3 q4 q5 q6 q7 q8 q9 q10
Production -15558518997.56 1728724368.84 1728724368.84 1728724368.84 1728724368.84 1728724368.84 1728724368.84 1728724368.84 1728724368.84 1728724368.84
min cost -135,704,740,916
production target 321.9999995232 = 322
Total inputs
L - 0 10,372,346,213.04 12,101,070,581.88 14,694,157,135.14 18,151,605,872.82 23,337,778,979.34 29,388,314,270.28 39760660483.32 55319179802.88 77792596597.8 280,917,709,936.50
K - 0 38,031,936,114.48 29,388,314,270.28 21,609,054,610.50 15,558,519,319.56 11,236,708,397.46 7,779,259,659.78 4321810922.1 2593086553.26 1728724368.84 132,247,414,216.26
price of the good 250
profit -5,760,973,878,659
Production data
Observation Number Obs Value Added (Output) Q Labor Input L Capital Input K LN(Q) LN(L) LN(K)
1 657.29 162.31 279.99 6.4881253214 5.0895080869 5.6347538882
2 935.93 214.43 542.5 6.8415406874 5.3679833448 6.2961880854
3 1110.65 186.44 721.51 7.0127007085 5.2281094715 6.5813462381
4 1200.89 245.83 1167.68 7.0908182275 5.5046402401 7.0627741532
5 1052.68 211.4 811.77 6.9590945723 5.3537520734 6.6992170488
6 3406.02 690.61 4558.02 8.1332997332 6.537575265 8.4246435977
7 2427.89 452.79 3069.91 7.7947778464 6.1154284418 8.0294035242
8 4257.46 714.2 5585.01 8.3564280173 6.5711630352 8.627841502
9 1625.19 320.54 1618.75 7.393380011 5.7700070736 7.3894095254
10 1272.05 253.17 1562.08 7.1483850513 5.5340611998 7.3537735455
11 1004.45 236.44 662.04 6.912195407 5.465694476 6.4953259771
12 598.87 140.73 875.37 6.3950445462 4.946843161 6.7746466541
13 853.1 145.04 1696.98 6.7488767739 4.9770095664 7.4366054797
14 1165.63 240.27 1078.79 7.0610169924 5.481763291 6.9835953217
15 1917.55 536.73 2109.34 7.5588036085 6.2854951748 7.6541303813
16 9849.17 1564.83 13989.55 9.1951424667 7.3555324709 9.5460659013
17 1088.27 214.62 884.24 6.9923445584 5.3688690225 6.784728519
18 8095.63 1083.1 9119.7 8.9990796889 6.9875825788 9.1181921878
19 3175.39 521.74 5686.99 8.0631857384 6.2571693795 8.6459363889
20 1653.38 304.85 1701.06 7.4105769565 5.7198198524 7.4390068651
21 5159.31 835.69 5206.36 8.5485581286 6.7282577309 8.5576362341
22 3378.4 284 3288.72 8.1251575036 5.6489742382 8.0982537103
23 592.85 150.77 357.32 6.3849414159 5.0157554968 5.8786317388
24 1601.98 259.91 2031.93 7.3789956432 5.5603354172 7.6167413593
25 2065.85 497.6 2492.98 7.633297043 6.2097965414 7.821234061
26 2293.87 275.2 1711.74 7.7379956265 5.6174981061 7.445265676
27 745.67 137 768.59 6.6142831431 4.9199809258 6.6445576674
Cost data
YEAR VOLUME DISTANCE PORT AC VOLUME Volume squared V V^2 AC MC Eco
2008 2095 1016 ROMANIA-CONSTANTA 0.4849642005 2095 4389025 SUMMARY OUTPUT 500 250000 0.2449417979 0.2466307406 -0.0068808921
2011 2439 1542 ITALY-SAVONA 0.6322263223 2439 5948721 1000 1000000 -0.003374207 0.0000107274 0.999000999
2008 2902 1016 ROMANIA-CONSTANTA 0.350103377 2902 8421604 Regression Statistics 1500 2250000 -0.0050562542 0.0000317211 1.0000000028
2010 2969 1468 RUSIA-ROSTOV ON DON 0.4944425733 2969 8814961 Multiple R 0.55 2000 4000000 -0.0067416723 0.000056393 1
2009 3065 1429 RUSSIA-AZOV 0.4662316476 3065 9394225 R Square 0.30 2500 6250000 -0.0084270904 0.0000881141 1
2009 3112 1429 RUSSIA-AZOV 0.4591902314 3112 9684544 Adjusted R Square 0.29 3000 9000000 -0.0101125084 0.0001268842 1
2010 3117 1429 RUSSIA-AZOV 0.4584536413 3117 9715689 Standard E
or 0.11 3500 12250000 -0.0117979265 0.0001727036 1
2010 3200 1468 RUSIA-ROSTOV ON DON 0.45875 3200 10240000 Observations 313 4000 16000000 -0.0134833446 0.000225572 1
2009 3206 1429 RUSSIA-AZOV 0.4457267623 3206 10278436 4500 20250000 -0.0151687627 0.0002854896 1
2009 3250 1429 RUSSIA-AZOV 0.4396923077 3250 10562500 ANOVA 5000 25000000 -0.0168541807 0.0003524562 1
2010 3450 1378 UKRAINE-MARIUPOL 0.3994202899 3450 11902500 df SS MS F Significance F 5500 30250000 -0.0185395988 0.0004264721 1
2008 3690 1016 ROMANIA-CONSTANTA 0.2753387534 3690 13616100 Regression 2 1.49 0.74 65.62 0.00 6000 36000000 -0.0202250169 0.000507537 1
2010 3874 1429 RUSSIA-AZOV 0.3688693856 3874 15007876 Residual 310 3.52 0.01 6500 42250000 -0.021910435 0.000595651 1
2009 3914 1429 RUSSIA-AZOV 0.3650996423 3914 15319396 Total 312 5.00 7000 49000000 -0.023595853 0.0006908142 1
2009 3954 1208 CROTIA-PLOCE 0.3055134041 3954 15634116 7500 56250000 -0.0252812711 0.0007930265 1
2010 4044 1355 UKRAINE-BERDYANSK 0.3350642928 4044 16353936 Coefficients Standard E
or t Stat P-value Lower 95% Upper 95% Lower 95.0% Upper 95.0% 8000 64000000 -0.0269666892 0.000902288 1
2009 4166 1355 UKRAINE-BERDYANSK 0.3252520403 4166 17355556 Intercept 0.25 0.01 23.85 0.00 0.23 0.27 0.23 0.27 8500 72250000 -0.0286521073 0.0010185985 1
2009 4382 1378 UKRAINE-MARIUPOL 0.3144682793 4382 19201924 VOLUME -0.0000033708361 0.00 -8.56 0.00 -0.00 -0.00 -0.00 -0.00 9000 81000000 -0.0303375253 0.0011419582 1
2009 4420 1378 UKRAINE-MARIUPOL 0.3117647059 4420 19536400 Volume squared 0.0000000000141 0.00 5.66 0.00 0.00 0.00 0.00 0.00 9500 90250000 -0.0320229434 0.001272367 1
2008 4468 1378 UKRAINE-MARIUPOL 0.3084153984 4468 19963024 10000 100000000 -0.0337083615 0.001409825 1
2008 4500 1378 UKRAINE-MARIUPOL 0.3062222222 4500 20250000 10500 110250000 -0.0353937795 0.001554332 1
2010 4598 1355 UKRAINE-BERDYANSK 0.2946933449 4598 21141604 11000 121000000 -0.0370791976 0.0017058882 1
2011 4606 1355 UKRAINE-BERDYANSK 0.2941815024 4606 21215236 11500 132250000 -0.0387646157 0.0018644935 1
2010 4633 1429 RUSSIA-AZOV 0.3084394561 4633 21464689 12000 144000000 -0.0404500338 0.002030148 1
2008 4688 1396 RUSIA-YEİSK 0.29778157 4688 21977344 12500 156250000 -0.0421354518 0.0022028515 1
2010 4693 1429 RUSSIA-AZOV 0.304496058 4693 22024249 13000 169000000 -0.0438208699 0.0023826042 1
2010 4733 1429 RUSSIA-AZOV 0.3019226706 4733 22401289 13500 182250000 -0.045506288 0.002569406 1
2010 4932 1468 RUSIA-ROSTOV ON DON 0.297648013 4932 24324624 14000 196000000 -0.0471917061 0.0027632569 1
2009 4966 3458 BELGIUM-ANTWERPEN 0.6963350785 4966 24661156 14500 210250000 -0.0488771241 0.002964157 1
2010 4972 1429 RUSSIA-AZOV 0.2874094932 4972 24720784 15000 225000000 -0.0505625422 0.0031721062 1
2008 5002 1396 RUSIA-YEİSK 0.2790883647 5002 25020004 15500 240250000 -0.0522479603 0.0033871045 1
2011 5002 1239 UKRAINE-KHERSON 0.2477009196 5002 25020004 16000 256000000 -0.0539333784 0.0036091519 1
2008 5004 1396 RUSIA-YEİSK 0.2789768185 5004 25040016 16500 272250000 -0.0556187964 0.0038382485 1
2008 5021 1239 UKRAINE-KHERSON 0.2467635929 5021 25210441 17000 289000000 -0.0573042145 0.0040743942 1
2010 5085 1429 RUSSIA-AZOV 0.2810226155 5085 25857225 17500 306250000 -0.0589896326 0.004317589 1
2010 5157 1429 RUSSIA-AZOV 0.2770990886 5157 26594649 18000 324000000 -0.0606750507 0.0045678329 1
2010 5178 1264 UKRAINE-KERCH 0.2441096949 5178 26811684 18500 342250000 -0.0623604687 0.004825126 1
2009 5205 1355 UKRAINE-BERDYANSK 0.260326609 5205 27092025 19000 361000000 -0.0640458868 0.0050894681 1
2011 5228 1378 UKRAINE-MARIUPOL 0.2635807192 5228 27331984 19500 380250000 -0.0657313049 0.0053608594 1
2010 5240 1468 RUSIA-ROSTOV ON DON 0.2801526718 5240 27457600 20000 400000000 -0.0674167229 0.0056392999 1
2010 5259 1239 UKRAINE-KHERSON 0.2355961209 5259 27657081 20500 420250000 -0.069102141 0.0059247894 1
2011 5291 1239 UKRAINE-KHERSON 0.2341712342 5291 27994681 21000 441000000 -0.0707875591 0.0062173281 1
2010 5348 1429 RUSSIA-AZOV 0.2672026926 5348 28601104 21500 462250000 -0.0724729772 0.0065169159 1
2010 5408 1239 UKRAINE-KHERSON 0.2291050296 5408 29246464 22000 484000000 -0.0741583952 0.0068235528 1
2009 5439 1429 RUSSIA-AZOV 0.2627321199 5439 29582721 22500 506250000 -0.0758438133 0.0071372389 1
2010 5500 1542 ITALY-SAVONA 0.2803636364 5500 30250000 23000 529000000 -0.0775292314 0.0074579741 1
2011 5628 1417 ITALY-PIOMBINO 0.2517768301 5628 31674384 23500 552250000 -0.0792146495 0.0077857584 1
2010 5701 1016 ROMANIA-CONSTANTA 0.1782143484 5701 32501401 24000 576000000 -0.0809000675 0.0081205918 1
2011 5729 1468 RUSIA-ROSTOV ON DON 0.2562401815 5729 32821441 24500 600250000 -0.0825854856 0.0084624744 1
2008 5968 1231 UKRAINE-NIKOLAYEV 0.206266756 5968 35617024 25000 625000000 -0.0842709037 0.0088114061 1
2008 6000 1355 UKRAINE-BERDYANSK 0.2258333333 6000 36000000 25500 650250000 -0.0859563218 0.0091673869 1
2008 6114 1378 UKRAINE-MARIUPOL 0.2253843638 6114 37380996 26000 676000000 -0.0876417398 0.0095304168 1
2008 6178 1378 UKRAINE-MARIUPOL 0.2230495306 6178 38167684 26500 702250000 -0.0893271579 0.0099004958 1
2011 6196 6111 COLOMBIA-BARRANQUILL 0.9862814719 6196 38390416 27000 729000000 -0.091012576 0.010277624 1
2009 6200 1208 CROTIA-PLOCE 0.1948387097 6200 38440000 27500 756250000 -0.0926979941 0.0106618013 1
2011 6237 6111 COLOMBIA-BARRANQUILL 0.9797979798 6237 38900169 28000 784000000 -0.0943834121 0.0110530278 1
2011 6312 1355 UKRAINE-BERDYANSK 0.2146704689 6312 39841344 28500 812250000 -0.0960688302 0.0114513033 1
2008 6386 1016 ROMANIA-CONSTANTA 0.1590980269 6386 40780996 29000 841000000 -0.0977542483 0.011856628 1
2010 6770 1378 UKRAINE-MARIUPOL 0.2035450517 6770 45832900 29500 870250000 -0.0994396663 0.0122690018 1
2010 6823 1378 UKRAINE-MARIUPOL 0.2019639455 6823 46553329 30000 900000000 -0.1011250844 0.0126884247 1
2009 7100 1264 UKRAINE-KERCH 0.178028169 7100 50410000 30500 930250000 -0.1028105025 0.0131148968 1
2010 7101 1355 UKRAINE-BERDYANSK 0.1908181946 7101 50424201 31000 961000000 -0.1044959206 0.0135484179 1
2009 7457 1208 CROTIA-PLOCE 0.1619954405 7457 55606849 31500 992250000 -0.1061813386 0.0139889883 1
2008 7693 1355 UKRAINE-BERDYANSK 0.1761341479 7693 59182249 32000 1024000000 -0.1078667567 0.0144366077 1
2011 7718 1355 UKRAINE-BERDYANSK 0.1755636175 7718 59567524 32500 1056250000 -0.1095521748 0.0148912762 1
2010 7724 1378 UKRAINE-MARIUPOL 0.1784049715 7724 59660176 33000 1089000000 -0.1112375929 0.0153529939 1
2008 7756 455 EGYPT-ALEXANDRIA 0.0586642599 7756 60155536 33500 1122250000 -0.1129230109 0.0158217607 1
2010 7814 1355 UKRAINE-BERDYANSK 0.1734067059 7814 61058596 34000 1156000000 -0.114608429 0.0162975766 1
2009 7883 1378 UKRAINE-MARIUPOL 0.1748065457 7883 62141689 34500 1190250000 -0.1162938471 0.0167804417 1
2011 7937 1378 UKRAINE-MARIUPOL 0.1736172357 7937 62995969 35000 1225000000 -0.1179792652 0.0172703559 1
2010 8000 5943 VENEZUELA-PUNTA...