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Output elasticity

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288: 49:. If the coefficient of output elasticity is greater than 1, then production is experiencing increasing returns to scale. If the coefficient is less than 1, then production is experiencing decreasing returns to scale. If the coefficient is 1, then production is experiencing constant returns to scale. Note that returns to scale may change as the level of production changes. 126: 171: 62: 358: 52:
A different usage of the term "output elasticity" is defined as the percentage change in output per one percent change in
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If the production function contains only one input, then the output elasticity is also an indicator of the degree of
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represents the inputs and Q, the output. Multi-input-multi-output generalisations also exist in the literature.
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or production of a single firm) divided by the percentage change of an input. It is sometimes called
322: 121:{\displaystyle E_{Q}={\frac {\partial Q}{\partial {\textbf {x}}}}\cdot {\frac {\textbf {x}}{Q}}} 234: 141: 39: 28: 263: 226: 303: 179: 56:
the inputs. The coefficient of output elasticity can be used to estimate returns to scale.
8: 183: 315: 202: 166: 227: 207: 162: 197: 187: 46: 299: 342: 192: 211: 295: 20: 167:"A theorem on homogeneous functions and extended Cobb–Douglas forms" 218: 287: 42:, this measure is defined locally, i.e. defined at a point. 35:
to clarify that it refers to the change of only one input.
248: 246: 244: 264:"A Note on Equivalences in Measuring Returns to Scale" 229:
Microeconomics Theory & Applications with Calculus
241: 160: 65: 120: 340: 268:International Journal of Business and Economics 323: 330: 316: 201: 191: 261: 224: 341: 282: 27:is the percentage change of output ( 109: 95: 13: 90: 82: 14: 370: 286: 255: 154: 1: 147: 302:. You can help Knowledge by 59:The mathematical formula is 7: 359:Economics and finance stubs 262:Zelenyuk, Valentin (2013). 135: 10: 375: 281: 165:; Schinnar, A. P. (1976). 33:partial output elasticity 354:Macroeconomic indicators 252:Hirschey (2003) p. 238. 193:10.1073/pnas.73.10.3747 349:Elasticity (economics) 298:-related article is a 172:Proc. Natl. Acad. Sci. 142:Elasticity (economics) 122: 123: 63: 233:. Pearson. p.  184:1976PNAS...73.3747C 118: 311: 310: 178:(10): 3747–3748. 116: 111: 101: 97: 25:output elasticity 366: 332: 325: 318: 290: 283: 276: 275: 259: 253: 250: 239: 238: 232: 225:Perloff (2008). 222: 216: 215: 205: 195: 158: 127: 125: 124: 119: 117: 112: 107: 102: 100: 99: 98: 88: 80: 75: 74: 47:returns to scale 374: 373: 369: 368: 367: 365: 364: 363: 339: 338: 337: 336: 280: 279: 260: 256: 251: 242: 223: 219: 159: 155: 150: 138: 108: 106: 94: 93: 89: 81: 79: 70: 66: 64: 61: 60: 17: 12: 11: 5: 372: 362: 361: 356: 351: 335: 334: 327: 320: 312: 309: 308: 291: 278: 277: 254: 240: 217: 152: 151: 149: 146: 145: 144: 137: 134: 115: 105: 92: 87: 84: 78: 73: 69: 38:As with every 15: 9: 6: 4: 3: 2: 371: 360: 357: 355: 352: 350: 347: 346: 344: 333: 328: 326: 321: 319: 314: 313: 307: 305: 301: 297: 292: 289: 285: 284: 273: 269: 265: 258: 249: 247: 245: 236: 231: 230: 221: 213: 209: 204: 199: 194: 189: 185: 181: 177: 174: 173: 168: 164: 163:Cooper, W. W. 161:Charnes, A.; 157: 153: 143: 140: 139: 133: 131: 113: 103: 85: 76: 71: 67: 57: 55: 50: 48: 43: 41: 36: 34: 30: 26: 22: 16:Economic term 304:expanding it 293: 271: 267: 257: 228: 220: 175: 170: 156: 129: 58: 53: 51: 44: 37: 32: 24: 18: 274:(1): 85–89. 343:Categories 148:References 40:elasticity 296:economics 104:⋅ 91:∂ 83:∂ 21:economics 212:16592356 136:See also 180:Bibcode 210:  203:431197 200:  128:where 294:This 300:stub 208:PMID 235:193 198:PMC 188:doi 54:all 29:GDP 19:In 345:: 272:12 270:. 266:. 243:^ 206:. 196:. 186:. 176:73 169:. 23:, 331:e 324:t 317:v 306:. 237:. 214:. 190:: 182:: 130:x 114:Q 110:x 96:x 86:Q 77:= 72:Q 68:E

Index

economics
GDP
elasticity
returns to scale
Elasticity (economics)
Cooper, W. W.
"A theorem on homogeneous functions and extended Cobb–Douglas forms"
Proc. Natl. Acad. Sci.
Bibcode
1976PNAS...73.3747C
doi
10.1073/pnas.73.10.3747
PMC
431197
PMID
16592356
Microeconomics Theory & Applications with Calculus
193



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