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Labor demand

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492:, has two conflicting effects: more expensive capital induces the firm to substitute away from physical capital usage and into more labor usage, contingent on any particular level of output; but the higher capital cost also induces the firm to produce less output, requiring less usage of both inputs. Depending on which effect predominates, labor demand could be either increasing or decreasing in 919: 517: 65: 328:
specifying the amount of output that can be produced using any of various combinations of quantities of labor and capital. This optimization problem involves simultaneously choosing the levels of labor, capital, and output. The resulting labor demand, capital demand, and output supply functions are
1168:) is the market labor supply function of workers which faces the firm. Here the firm cannot choose an amount of labor to demand independently of the wage rate, because the labor supply function links the quantity of labor that can be hired to the wage rate; therefore 769:) is the market demand function for the product. The constraint equates the amount that can be sold to the amount produced. Here labor demand, capital demand, and the selling price are the choice variables, giving rise to the input demand functions 1073: 674: 218: 581:, its long-run optimization problem is different because it cannot take its selling price as given: the more it produces, the lower will be the price it can obtain for each unit of output, according to the market 47:, the market-determined selling price of its output, etc. The function specifying the quantity of labor that would be demanded at any of various possible values of these exogenous variables is called the 1098: 699: 243: 1155: 989: 756: 591: 291: 143: 471: 421: 374: 893: 849: 808: 983:
in the labor market — meaning that it is the only buyer of labor, so the amount it demands influences the wage rate — then its long-run optimization problem is
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makes it worthwhile to produce more output and to hire additional units of input in order to do so), and a decreasing function of
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There is no output supply function for a monopolist, because a supply function pre-supposes the existence of an exogenous price.
944: 542: 90: 940: 538: 488:(since more expensive labor makes it worthwhile to hire less labor and produce less output). The rental rate of capital, 86: 929: 527: 75: 1193: 948: 933: 546: 531: 94: 79: 1250: 1081: 682: 226: 1068:{\displaystyle {\text{Maximize}}\,\,pQ-wL(w)-rK\,\,{\text{with respect to}}\,\,Q,\,w,\,{\text{and}}\,K} 35:
of an employer is the number of labor-hours that the employer is willing to hire based on the various
669:{\displaystyle {\text{Maximize}}\,\,pQ(p)-wL-rK\,\,{\text{with respect to}}\,L,\,K,\,{\text{and}}\,p} 499:
The short-run labor demand function is the result of the same optimization except that capital usage
1106: 707: 213:{\displaystyle {\text{Maximize}}\,\,pQ-wL-rK\,\,{\text{with respect to}}\,\,Q,\,L,\,{\text{and}}\,K} 1208: 325: 134: 130: 44: 251: 36: 51:. The sum of the labor-hours demanded by all employers in total is the market demand for labor. 432: 382: 335: 860: 816: 775: 1203: 1198: 320:
is the number of hours of machinery used (the quantity of capital demanded) per month, and
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The short-run labor demand function is derived the same way except with physical capital
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is exogenously given by past physical investment rather than being a choice variable.
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Ordinarily labor demand will be an increasing function of the product's selling price
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is the number of labor hours hired (the quantity of labor demanded) per month,
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is the cost of using a machine (capital) for an hour (the "rental rate"),
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The short-run optimization is the same except that physical capital
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If the firm is a perfect competitor in the goods market but is a
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is the chosen quantity of output to be produced per month,
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for the product. So its profit-maximization problem is
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is the exogenous selling price of the produced output,
1109: 1084: 992: 863: 819: 778: 710: 685: 594: 435: 385: 338: 254: 229: 146: 1234:, 3rd Ed., W.W. Norton & Company, Inc. New York. 1179:is exogenous rather than being a choice variable. 1149: 1092: 1067: 887: 843: 802: 750: 693: 668: 465: 415: 368: 285: 237: 212: 8: 947:. Unsourced material may be challenged and 545:. Unsourced material may be challenged and 93:. Unsourced material may be challenged and 308:is the hourly wage rate paid to a worker, 1119: 1108: 1085: 1083: 1061: 1056: 1055: 1048: 1041: 1040: 1035: 1034: 1033: 999: 998: 993: 991: 967:Learn how and when to remove this message 862: 818: 777: 729: 709: 686: 684: 662: 657: 656: 649: 642: 637: 636: 635: 601: 600: 595: 593: 565:Learn how and when to remove this message 434: 384: 337: 264: 253: 230: 228: 206: 201: 200: 193: 186: 185: 180: 179: 178: 153: 152: 147: 145: 113:Learn how and when to remove this message 1220: 7: 945:adding citations to reliable sources 543:adding citations to reliable sources 91:adding citations to reliable sources 1093:{\displaystyle {\text{subject to}}} 694:{\displaystyle {\text{subject to}}} 238:{\displaystyle {\text{subject to}}} 25: 1199:Neoclassical micro-economic model 1170:there is no labor demand function 917: 515: 63: 909:Monopsonist in the labor market 133:is determined by the following 1150:{\displaystyle Q=f\,(L(w),K),} 1141: 1132: 1126: 1120: 1021: 1015: 879: 867: 835: 823: 794: 782: 751:{\displaystyle Q(p)=f\,(L,K),} 742: 730: 720: 714: 614: 608: 457: 439: 407: 389: 360: 342: 277: 265: 1: 286:{\displaystyle Q=f\,(L,K),} 129:labor demand function of a 1267: 1194:Conditional factor demands 854:and the pricing function 466:{\displaystyle Q(p,w,r).} 416:{\displaystyle K(p,w,r),} 369:{\displaystyle L(p,w,r),} 888:{\displaystyle p(w,r).} 844:{\displaystyle K(w,r),} 803:{\displaystyle L(w,r),} 1232:Microeconomic Analysis 1151: 1094: 1069: 889: 845: 804: 752: 695: 670: 467: 417: 370: 287: 239: 214: 1152: 1095: 1070: 890: 846: 805: 753: 696: 671: 468: 418: 371: 288: 240: 215: 49:labor demand function 1107: 1082: 990: 941:improve this section 861: 817: 776: 708: 683: 592: 539:improve this section 433: 383: 336: 329:of the general form 252: 227: 144: 87:improve this section 1209:Personnel selection 326:production function 135:profit maximization 43:, the unit cost of 1147: 1090: 1065: 885: 841: 800: 748: 691: 666: 463: 413: 366: 283: 235: 210: 55:Perfect competitor 1088: 1059: 1038: 996: 977: 976: 969: 905:being exogenous. 689: 660: 640: 598: 577:If the firm is a 575: 574: 567: 233: 204: 183: 150: 123: 122: 115: 16:(Redirected from 1258: 1251:Labour economics 1235: 1225: 1156: 1154: 1153: 1148: 1099: 1097: 1096: 1091: 1089: 1086: 1074: 1072: 1071: 1066: 1060: 1057: 1039: 1036: 997: 994: 972: 965: 961: 958: 952: 921: 913: 894: 892: 891: 886: 850: 848: 847: 842: 809: 807: 806: 801: 757: 755: 754: 749: 700: 698: 697: 692: 690: 687: 675: 673: 672: 667: 661: 658: 641: 638: 599: 596: 570: 563: 559: 556: 550: 519: 511: 480:(since a higher 472: 470: 469: 464: 422: 420: 419: 414: 375: 373: 372: 367: 292: 290: 289: 284: 244: 242: 241: 236: 234: 231: 219: 217: 216: 211: 205: 202: 184: 181: 151: 148: 131:competitive firm 118: 111: 107: 104: 98: 67: 59: 21: 18:Demand for labor 1266: 1265: 1261: 1260: 1259: 1257: 1256: 1255: 1241: 1240: 1239: 1238: 1226: 1222: 1217: 1185: 1105: 1104: 1080: 1079: 1037:with respect to 988: 987: 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1228:Varian, Hal 981:monopsonist 1215:References 1087:subject to 957:April 2020 688:subject to 579:monopolist 555:April 2020 507:Monopolist 232:subject to 103:April 2020 1025:− 1007:− 928:does not 627:− 618:− 526:does not 170:− 161:− 137:problem: 74:does not 41:wage rate 37:exogenous 29:economics 1245:Category 1230:, 1992, 1183:See also 995:Maximize 597:Maximize 149:Maximize 127:long-run 949:removed 934:sources 547:removed 532:sources 324:is the 95:removed 80:sources 45:capital 1160:where 761:where 296:where 31:, the 932:any 930:cite 530:any 528:cite 426:and 125:The 78:any 76:cite 1058:and 943:by 659:and 541:by 203:and 89:by 27:In 1247:: 1172:. 496:. 1177:K 1166:w 1164:( 1162:L 1145:, 1142:) 1139:K 1136:, 1133:) 1130:w 1127:( 1124:L 1121:( 1117:f 1114:= 1111:Q 1063:K 1053:, 1050:w 1046:, 1043:Q 1031:K 1028:r 1022:) 1019:w 1016:( 1013:L 1010:w 1004:Q 1001:p 970:) 964:( 959:) 955:( 951:. 937:. 903:K 883:. 880:) 877:r 874:, 871:w 868:( 865:p 839:, 836:) 833:r 830:, 827:w 824:( 821:K 798:, 795:) 792:r 789:, 786:w 783:( 780:L 767:p 765:( 763:Q 746:, 743:) 740:K 737:, 734:L 731:( 727:f 724:= 721:) 718:p 715:( 712:Q 664:p 654:, 651:K 647:, 644:L 633:K 630:r 624:L 621:w 615:) 612:p 609:( 606:Q 603:p 568:) 562:( 557:) 553:( 549:. 535:. 501:K 494:r 490:r 486:w 482:p 478:p 461:. 458:) 455:r 452:, 449:w 446:, 443:p 440:( 437:Q 411:, 408:) 405:r 402:, 399:w 396:, 393:p 390:( 387:K 364:, 361:) 358:r 355:, 352:w 349:, 346:p 343:( 340:L 322:f 318:K 314:r 310:L 306:w 302:Q 298:p 281:, 278:) 275:K 272:, 269:L 266:( 262:f 259:= 256:Q 208:K 198:, 195:L 191:, 188:Q 176:K 173:r 167:L 164:w 158:Q 155:p 116:) 110:( 105:) 101:( 97:. 83:. 20:)

Index

Demand for labor
economics
exogenous
wage rate
capital

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long-run
competitive firm
profit maximization
production function

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monopolist
demand curve

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