Knowledge

Capacity utilization

Source đź“ť

31: 193:, capacity utilization is normally surveyed for goods-producing industries at plant level. The results are presented as an average percentage rate by industry and economy-wide, where 100% denotes full capacity. This rate is also sometimes called the "operating rate". If the operating rate is high, this is called "full capacity", while if the operating rate is low, a situation of "excess capacity" or "surplus capacity" exists. The observed rates are often turned into indices. Capacity utilization is much more difficult to measure for service industries. 178: 162: 196:
There has been some debate among economists about the validity of statistical measures of capacity utilization, because much depends on the survey questions asked, and on the valuation principles used to measure output. Also, the efficiency of production may change over time, due to new technologies.
132:
One is the "engineering" or "technical" definition, according to which potential output represents the maximum amount of output that can be produced in the short run with the existing stock of capital. Thus, a standard definition of capacity utilization is the (weighted) average of the ratios between
136:
However, as output increases and well before the absolute physical limit of production is reached, most firms might well experience an increase in the average cost of production—even if there is no change in the level of plant & equipment used. For example, higher average costs can arise because
215:
measure is just not very revealing. Prior to the early 1980s, he argues, American business carried a great deal of extra capacity. At that time, running close to 80% would indicate that a plant was approaching capacity restraints. Since that time, however, firms scrapped much of their most
242:
likes it. Bondholders view strong capacity utilization (above the trend rate) as a leading indicator of higher inflation. Higher inflation—or the expectation of higher inflation—decreases bond prices, often prompting a higher yield to compensate for the higher expected rate of inflation.
258:, therefore, argue the system is not as efficient as it may seem, since at least 1/5 more output could be produced and sold, if buying power was better distributed. However, a level of utilization somewhat below the maximum typically prevails, regardless of economic conditions. 323:(ISM) index asks respondents to measure their current output relative to "normal capacity", and this yields a utilization rate, which is between 4 and 10 percentage points higher than the FRB measure. Again, the time series show more or less the same historical movement. 315:
for the FRB capacity utilization index, firms are asked about "the maximum level of production that this establishment could reasonably expect to attain under normal and realistic operating conditions, fully utilizing the machinery and equipment in place."
133:
the actual output of firms and the maximum that could be produced per unit of time, with existing plant and equipment (see Johanson 1968). Output could be measured in physical units or in market values, but normally it is measured in market values.
338:
The average economy-wide capacity utilization rate in the US since 1967 was about 81.6%, according to the Federal Reserve measure. The figure for Europe is not much different, for Japan being only slightly higher.
153:(see Berndt & Morrison 1981). Typically, this measure will yield a rate around 10 percentage points higher than the "engineering" measure, but time series show the same movement over time. 274:, and Huffman (1988). They illustrated how capacity utilization is important for getting business cycle correlations in economic models to match the data when there are shocks to 342:
The average utilization rate of installed productive capacity in industry, in some major areas of the world, was estimated in 2003/2004 to be as follows (rounded figures):
481:
E. Berndt & J. Morrison, "Capacity utilization measures: Underlying Economic Theory and an Alternative Approach", American Economic Review, 71, 1981, pp. 48–52
231:
It is often believed that when the utilization rate rises above somewhere between 82% and 85%, price inflation will increase. Excess capacity means that insufficient
112:
be produced with it, if capacity was fully used. The Formula is the actual output per period all over full capacity per period expressed as a percentage.
145:
An alternative approach, sometimes called the "economic" utilization rate, is, therefore, to measure the ratio of actual output to the level of output
327: 228:
weakens, capacity utilization will slacken. Economists and bankers often watch capacity utilization indicators for signs of inflation pressures.
587: 549: 516: 149:. In this case, surveyed firms are asked by how much it would be practicable for them to raise production from existing plant and equipment, 484:
I. Johanson, Production functions and the concept of capacity", Collection Economie et Mathematique et Econometrie, 2, 1968, pp. 46–72
1692: 1648: 271: 537: 250:
are being used. Much statistical and anecdotal evidence shows that many industries in the developed capitalist economies suffer from
216:
inefficient capacity. As a result, a modern 77% capacity utilization now would be equivalent to a historical level of 70%.
238:
All else constant, the lower capacity utilization falls (relative to the trend capacity utilization rate), the better the
696: 619: 1717: 411: 74: 52: 45: 592: 320: 1130: 1722: 1100: 1090: 783: 373: 1311: 1250: 1223: 487: 201: 1677: 1658: 1235: 1080: 1046: 1031: 1010: 1005: 120:
One of the most used definitions of the "capacity utilization rate" is the ratio of actual output to the
593:
Economic Reforms and Industrial Performance: An analysis of Capacity Utilization in Indian Manufacturing
1652: 1228: 918: 908: 403:
The Secrets of Economic Indicators: Hidden Clues to Future Economic Trends and Investment Opportunities
514: 798: 501:
The International Politics of Surplus Capacity: Competition for Market Shares in the World Recession
1682: 1628: 1371: 1326: 1165: 1036: 913: 541: 506: 39: 1386: 290:
percentage" (%OG) can be measured as the gap between actual output (AO) and potential output (PO)
1336: 1170: 1160: 1150: 1140: 878: 868: 828: 818: 691: 612: 536:
Thomas G. Rawski, "The Political Economy of China's Declining Growth", University of Pittsburgh.
1506: 1351: 1211: 1154: 1110: 1073: 823: 763: 738: 708: 681: 572: 56: 209:, Investment Theory and the Economic Slowdown: The Role of Replacement Investment and q-Ratios 1638: 1321: 1296: 1281: 1255: 1194: 873: 813: 793: 788: 312: 247: 212: 1687: 1391: 1135: 1105: 1058: 1021: 947: 898: 863: 803: 768: 703: 686: 529:, and Gregory W. Huffman, "Investment, Capacity Utilization and the Real Business Cycle," 456: 137:
of the need to operate extra shifts, to undertake additional plant maintenance, and so on.
636: 8: 1617: 1426: 1245: 1145: 1125: 1085: 1041: 1026: 982: 923: 848: 838: 808: 731: 275: 206: 190: 97: 1286: 718: 1672: 1643: 1601: 1406: 1115: 1095: 1063: 977: 972: 952: 903: 843: 833: 778: 773: 605: 434: 101: 246:
Implicitly, the capacity utilization rate is also an indicator of how efficiently the
1536: 1511: 1421: 1301: 1189: 992: 928: 893: 883: 753: 407: 225: 166: 1461: 582: 548:(2004), Working Paper No. 415, The Jerome Levy Economics Institute of Bard College. 1586: 1531: 1516: 1501: 1486: 1416: 1396: 1376: 1331: 938: 888: 858: 853: 743: 669: 121: 1466: 1697: 1591: 1556: 1521: 1456: 1381: 1366: 1260: 1216: 1053: 987: 962: 957: 933: 664: 649: 567: 520: 401: 170: 1611: 1596: 1561: 1546: 1526: 1496: 1316: 967: 676: 644: 577: 267: 1346: 1711: 1576: 1566: 1541: 1481: 1476: 1471: 1451: 1441: 1411: 1401: 1306: 1206: 1179: 943: 526: 496: 1606: 1551: 1446: 1436: 1431: 1356: 1201: 726: 654: 509:, "Why there is chronic excess capacity – The Market Failures Issue", in: 406:. Wharton School Publishing – University of California. pp. 137–140. 1581: 1571: 1361: 1240: 1184: 659: 239: 546:
Measuring Capacity Utilization in OECD Countries: A Cointegration Method
1491: 1291: 1068: 287: 255: 165:
Capacity utilization (black line) in manufacture in the United States,
20: 124:. But potential output can be defined in at least two different ways. 108:
produced with the installed equipment, and the potential output which
1341: 1271: 628: 177: 100:(maximum output of a firm or nation). It is the relationship between 161: 1120: 435:"The Fed – Industrial Production and Capacity Utilization – G.17" 182: 232: 266:
The notion of capacity utilization was introduced into modern
96:
is the extent to which a firm or nation employs its installed
597: 553:
Annys Shin, "Economy Strains Under Weight of Unsold Items",
224:
If market demand grows, capacity utilization will rise. If
351:
United States 79.5% (April 2008 — Federal Reserve measure)
147:
beyond which the average cost of production begins to rise
115: 492:
Keynes, Investment Theory and the Economic Slowdown
330:: Industrial Production and Capacity Utilization. 306: 1709: 588:Measuring capacity utilization in OECD countries 328:Board of Governors of the Federal Reserve System 281: 311:In the survey of plant capacity used by the US 261: 395: 393: 613: 181:Capacity utilization in manufacturing in the 169:(red line, upside down, scale on the right), 390: 357:European Union 82% (Bank of Spain estimate) 345: 620: 606: 127: 75:Learn how and when to remove this message 219: 176: 160: 38:This article includes a list of general 583:FAO discussion of concepts and measures 568:US survey of plant capacity utilisation 399: 235:exists to warrant expansion of output. 1710: 360:Australia 80% (National Bank estimate) 140: 601: 16:Measure of use of productive capacity 24: 697:Agent-based computational economics 573:Capacity utilisation of US industry 369:China perhaps 60% (various sources) 254:excess capacity. Critics of market 13: 503:(London: Allen & Unwin, 1981). 44:it lacks sufficient corresponding 14: 1734: 561: 116:Engineering and economic measures 1155:neoclassical–Keynesian synthesis 286:As a derivative indicator, the " 29: 459:. Turkstat.gov.tr. 9 April 2009 457:"Turkish Statistical Institute" 372:Turkey 79.8% (September 2008 — 366:India 70% (Hindu business line) 363:Brazil 60–80% (various sources) 321:Institute for Supply Management 307:FRB and ISM utilization indexes 449: 427: 379:Canada 87% (Statistics Canada) 156: 1: 1091:Critique of political economy 627: 475: 374:Turkish Statistical Institute 282:Output gap percentage formula 354:Japan 83–86% (Bank of Japan) 262:Modern business cycle theory 204:has argued in his 1989 book 7: 10: 1739: 1229:Real business-cycle theory 578:Federal Reserve Statistics 151:without raising unit costs 18: 1669: 1627: 1269: 1003: 752: 717: 635: 400:Baumohl, Bernard (2005). 1718:Macroeconomic indicators 557:, 17 February 2009, A01. 531:American Economic Review 383: 346:Average utilization rate 294:by potential output and 869:Industrial organization 692:Computational economics 333: 59:more precise citations. 1074:Modern monetary theory 739:Experimental economics 709:Pluralism in economics 682:Mathematical economics 186: 174: 128:Engineering definition 519:12 April 2008 at the 313:Federal Reserve Board 270:theory by Greenwood, 248:factors of production 220:Economic significance 213:Federal Reserve Board 180: 164: 1723:Production economics 948:Social choice theory 704:Behavioral economics 687:Complexity economics 94:capacity utilisation 90:Capacity utilization 1032:American (National) 732:Economic statistics 276:investment spending 191:economic statistics 141:Economic definition 98:productive capacity 544:and Jamee Moudud, 525:Jeremy Greenwood, 187: 175: 1705: 1704: 1236:New institutional 499:and Roger Tooze, 437:. Federal Reserve 319:By contrast, the 167:unemployment rate 85: 84: 77: 1730: 909:Natural resource 744:Economic history 670:Mechanism design 622: 615: 608: 599: 598: 488:Michael Perelman 469: 468: 466: 464: 453: 447: 446: 444: 442: 431: 425: 424: 422: 420: 397: 202:Michael Perelman 122:potential output 80: 73: 69: 66: 60: 55:this article by 46:inline citations 33: 32: 25: 1738: 1737: 1733: 1732: 1731: 1729: 1728: 1727: 1708: 1707: 1706: 1701: 1698:Business portal 1665: 1664: 1663: 1623: 1387:von Böhm-Bawerk 1275: 1274: 1265: 1037:Ancient thought 1015: 1014: 1008: 999: 998: 997: 748: 713: 665:Contract theory 650:Decision theory 631: 626: 564: 555:Washington Post 521:Wayback Machine 513:, Nov–Dec 2002 478: 473: 472: 462: 460: 455: 454: 450: 440: 438: 433: 432: 428: 418: 416: 414: 398: 391: 386: 348: 336: 309: 284: 264: 222: 171:employment rate 159: 143: 130: 118: 81: 70: 64: 61: 51:Please help to 50: 34: 30: 23: 17: 12: 11: 5: 1736: 1726: 1725: 1720: 1703: 1702: 1700: 1695: 1690: 1685: 1680: 1675: 1670: 1667: 1666: 1662: 1661: 1656: 1646: 1641: 1635: 1634: 1633: 1631: 1625: 1624: 1622: 1621: 1614: 1609: 1604: 1599: 1594: 1589: 1584: 1579: 1574: 1569: 1564: 1559: 1554: 1549: 1544: 1539: 1534: 1529: 1524: 1519: 1514: 1509: 1504: 1499: 1494: 1489: 1484: 1479: 1474: 1469: 1464: 1459: 1454: 1449: 1444: 1439: 1434: 1429: 1424: 1419: 1414: 1409: 1404: 1399: 1394: 1389: 1384: 1379: 1374: 1369: 1364: 1359: 1354: 1349: 1344: 1339: 1334: 1329: 1324: 1319: 1314: 1309: 1304: 1299: 1294: 1289: 1284: 1278: 1276: 1270: 1267: 1266: 1264: 1263: 1258: 1253: 1248: 1243: 1238: 1233: 1232: 1231: 1221: 1220: 1219: 1209: 1204: 1199: 1198: 1197: 1187: 1182: 1177: 1176: 1175: 1174: 1173: 1163: 1158: 1143: 1138: 1133: 1128: 1123: 1118: 1113: 1108: 1103: 1101:Disequilibrium 1098: 1093: 1088: 1083: 1078: 1077: 1076: 1066: 1061: 1056: 1051: 1050: 1049: 1039: 1034: 1029: 1024: 1018: 1016: 1004: 1001: 1000: 996: 995: 990: 985: 980: 975: 970: 965: 960: 955: 950: 941: 936: 931: 926: 921: 916: 914:Organizational 911: 906: 901: 896: 891: 886: 881: 876: 871: 866: 861: 856: 851: 846: 841: 836: 831: 826: 821: 816: 811: 806: 801: 796: 791: 786: 781: 776: 771: 766: 760: 759: 758: 756: 750: 749: 747: 746: 741: 736: 735: 734: 723: 721: 715: 714: 712: 711: 706: 701: 700: 699: 689: 684: 679: 677:Macroeconomics 674: 673: 672: 667: 662: 657: 652: 645:Microeconomics 641: 639: 633: 632: 625: 624: 617: 610: 602: 596: 595: 590: 585: 580: 575: 570: 563: 562:External links 560: 559: 558: 551: 539: 534: 523: 504: 494: 485: 482: 477: 474: 471: 470: 448: 426: 412: 388: 387: 385: 382: 381: 380: 377: 370: 367: 364: 361: 358: 355: 352: 347: 344: 335: 332: 308: 305: 304: 303: 302:%OG = Ă— 100%. 283: 280: 268:business cycle 263: 260: 221: 218: 185:and in the USA 158: 155: 142: 139: 129: 126: 117: 114: 83: 82: 37: 35: 28: 15: 9: 6: 4: 3: 2: 1735: 1724: 1721: 1719: 1716: 1715: 1713: 1699: 1696: 1694: 1691: 1689: 1686: 1684: 1681: 1679: 1676: 1674: 1671: 1668: 1660: 1657: 1654: 1650: 1647: 1645: 1642: 1640: 1637: 1636: 1632: 1630: 1626: 1620: 1619: 1615: 1613: 1610: 1608: 1605: 1603: 1600: 1598: 1595: 1593: 1590: 1588: 1585: 1583: 1580: 1578: 1575: 1573: 1570: 1568: 1565: 1563: 1560: 1558: 1555: 1553: 1550: 1548: 1545: 1543: 1540: 1538: 1535: 1533: 1530: 1528: 1525: 1523: 1520: 1518: 1515: 1513: 1510: 1508: 1505: 1503: 1500: 1498: 1495: 1493: 1490: 1488: 1485: 1483: 1480: 1478: 1475: 1473: 1470: 1468: 1465: 1463: 1460: 1458: 1455: 1453: 1450: 1448: 1445: 1443: 1440: 1438: 1435: 1433: 1430: 1428: 1425: 1423: 1420: 1418: 1415: 1413: 1410: 1408: 1405: 1403: 1400: 1398: 1395: 1393: 1390: 1388: 1385: 1383: 1380: 1378: 1375: 1373: 1370: 1368: 1365: 1363: 1360: 1358: 1355: 1353: 1350: 1348: 1345: 1343: 1340: 1338: 1335: 1333: 1330: 1328: 1325: 1323: 1320: 1318: 1315: 1313: 1310: 1308: 1305: 1303: 1300: 1298: 1295: 1293: 1290: 1288: 1285: 1283: 1282:de Mandeville 1280: 1279: 1277: 1273: 1268: 1262: 1259: 1257: 1254: 1252: 1249: 1247: 1244: 1242: 1239: 1237: 1234: 1230: 1227: 1226: 1225: 1224:New classical 1222: 1218: 1215: 1214: 1213: 1210: 1208: 1205: 1203: 1200: 1196: 1193: 1192: 1191: 1188: 1186: 1183: 1181: 1180:Malthusianism 1178: 1172: 1169: 1168: 1167: 1164: 1162: 1159: 1156: 1152: 1149: 1148: 1147: 1144: 1142: 1141:Institutional 1139: 1137: 1134: 1132: 1129: 1127: 1124: 1122: 1119: 1117: 1114: 1112: 1109: 1107: 1104: 1102: 1099: 1097: 1094: 1092: 1089: 1087: 1084: 1082: 1079: 1075: 1072: 1071: 1070: 1067: 1065: 1062: 1060: 1057: 1055: 1052: 1048: 1045: 1044: 1043: 1040: 1038: 1035: 1033: 1030: 1028: 1025: 1023: 1020: 1019: 1017: 1012: 1007: 1002: 994: 991: 989: 986: 984: 981: 979: 976: 974: 971: 969: 966: 964: 961: 959: 956: 954: 951: 949: 945: 944:Public choice 942: 940: 937: 935: 932: 930: 927: 925: 922: 920: 919:Participation 917: 915: 912: 910: 907: 905: 902: 900: 897: 895: 892: 890: 887: 885: 882: 880: 879:Institutional 877: 875: 872: 870: 867: 865: 862: 860: 857: 855: 852: 850: 847: 845: 842: 840: 837: 835: 832: 830: 829:Expeditionary 827: 825: 822: 820: 819:Environmental 817: 815: 812: 810: 807: 805: 802: 800: 797: 795: 792: 790: 787: 785: 782: 780: 777: 775: 772: 770: 767: 765: 762: 761: 757: 755: 751: 745: 742: 740: 737: 733: 730: 729: 728: 725: 724: 722: 720: 716: 710: 707: 705: 702: 698: 695: 694: 693: 690: 688: 685: 683: 680: 678: 675: 671: 668: 666: 663: 661: 658: 656: 653: 651: 648: 647: 646: 643: 642: 640: 638: 634: 630: 623: 618: 616: 611: 609: 604: 603: 600: 594: 591: 589: 586: 584: 581: 579: 576: 574: 571: 569: 566: 565: 556: 552: 550: 547: 543: 540: 538: 535: 532: 528: 527:Zvi Hercowitz 524: 522: 518: 515: 512: 508: 505: 502: 498: 497:Susan Strange 495: 493: 489: 486: 483: 480: 479: 458: 452: 436: 430: 415: 413:9780131455016 409: 405: 404: 396: 394: 389: 378: 375: 371: 368: 365: 362: 359: 356: 353: 350: 349: 343: 340: 331: 329: 324: 322: 317: 314: 301: 300: 299: 297: 293: 289: 279: 277: 273: 269: 259: 257: 253: 249: 244: 241: 236: 234: 229: 227: 217: 214: 210: 208: 203: 200:For example, 198: 194: 192: 184: 179: 173:(dotted line) 172: 168: 163: 154: 152: 148: 138: 134: 125: 123: 113: 111: 107: 103: 99: 95: 91: 87: 79: 76: 68: 58: 54: 48: 47: 41: 36: 27: 26: 22: 1693:Publications 1649:Publications 1616: 1212:Neoclassical 1202:Mercantilism 1111:Evolutionary 973:Sociological 946: / 844:Geographical 824:Evolutionary 799:Digitization 764:Agricultural 727:Econometrics 655:Price theory 554: 545: 542:Anwar Shaikh 530: 510: 507:James Crotty 500: 491: 463:27 September 461:. Retrieved 451: 439:. Retrieved 429: 417:. Retrieved 402: 341: 337: 325: 318: 310: 295: 291: 285: 265: 251: 245: 237: 230: 223: 211:that the US 205: 199: 195: 188: 150: 146: 144: 135: 131: 119: 109: 105: 93: 89: 88: 86: 71: 62: 43: 1487:von Neumann 1256:Supply-side 1241:Physiocracy 1185:Marginalism 874:Information 814:Engineering 794:Development 789:Demographic 660:Game theory 637:Theoretical 240:bond market 157:Measurement 57:introducing 1712:Categories 1644:Economists 1517:Schumacher 1422:Schumpeter 1392:von Wieser 1312:von ThĂĽnen 1272:Economists 1171:Circuitism 1136:Humanistic 1131:Historical 1106:Ecological 1096:Democratic 1069:Chartalism 1059:Behavioral 1022:Mainstream 983:Statistics 978:Solidarity 899:Managerial 864:Humanistic 859:Historical 804:Ecological 769:Behavioral 476:References 296:multiplied 288:output gap 256:capitalism 40:references 21:Output gap 19:See also: 1562:Greenspan 1527:Samuelson 1507:Galbraith 1477:Tinbergen 1417:von Mises 1412:Heckscher 1372:Edgeworth 1251:Stockholm 1246:Socialist 1146:Keynesian 1126:Happiness 1086:Classical 1047:Mutualism 1042:Anarchist 1027:Heterodox 924:Personnel 884:Knowledge 849:Happiness 839:Financial 809:Education 784:Democracy 719:Empirical 629:Economics 511:Challenge 419:9 January 298:by 100%: 272:Hercowitz 65:June 2013 1673:Category 1653:journals 1639:Glossary 1592:Stiglitz 1557:Rothbard 1537:Buchanan 1522:Friedman 1512:Koopmans 1502:Leontief 1482:Robinson 1367:Marshall 1217:Lausanne 1121:Georgism 1116:Feminist 1064:Buddhist 1054:Austrian 953:Regional 929:Planning 904:Monetary 834:Feminist 779:Cultural 774:Business 517:Archived 441:14 April 1688:Outline 1659:Schools 1651: ( 1612:Piketty 1607:Krugman 1472:Kuznets 1462:Kalecki 1437:Polanyi 1327:Cournot 1322:Bastiat 1307:Ricardo 1297:Malthus 1287:Quesnay 1190:Marxian 1081:Chicago 1011:history 1006:Schools 993:Welfare 963:Service 754:Applied 533:, 1988. 292:divided 252:chronic 53:improve 1597:Thaler 1577:Ostrom 1572:Becker 1567:Sowell 1547:Baumol 1452:Myrdal 1447:Sraffa 1442:Frisch 1432:Knight 1427:Keynes 1402:Fisher 1397:Veblen 1382:Pareto 1362:Menger 1357:George 1352:Jevons 1347:Walras 1337:Gossen 1261:Thermo 939:Public 934:Policy 889:Labour 854:Health 410:  233:demand 226:demand 207:Keynes 102:output 42:, but 1683:Lists 1678:Index 1629:Lists 1602:Hoppe 1587:Lucas 1552:Solow 1542:Arrow 1532:Simon 1497:Lange 1492:Hicks 1467:Röpke 1457:Hayek 1407:Pigou 1377:Clark 1292:Smith 1207:Mixed 1166:Post- 988:Urban 968:Socio 958:Rural 384:Notes 110:could 104:that 1618:more 1342:Marx 1332:Mill 1317:List 1195:Neo- 1151:Neo- 465:2013 443:2018 421:2023 408:ISBN 334:Data 326:See 1582:Sen 1302:Say 1161:New 894:Law 189:In 183:FRG 92:or 1714:: 490:, 392:^ 278:. 106:is 1655:) 1157:) 1153:( 1013:) 1009:( 621:e 614:t 607:v 467:. 445:. 423:. 376:) 78:) 72:( 67:) 63:( 49:.

Index

Output gap
references
inline citations
improve
introducing
Learn how and when to remove this message
productive capacity
output
potential output

unemployment rate
employment rate

FRG
economic statistics
Michael Perelman
Keynes
Federal Reserve Board
demand
demand
bond market
factors of production
capitalism
business cycle
Hercowitz
investment spending
output gap
Federal Reserve Board
Institute for Supply Management
Board of Governors of the Federal Reserve System

Text is available under the Creative Commons Attribution-ShareAlike License. Additional terms may apply.

↑