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Q(x,y)=x0,2y0,9Q(x, y) = x^{0,2}y^{0,9} a) Essa fun\c{c}\~ao de produ\c{c}\~ao possui rendimentos crescentes, constantes ou decrescente de escala? Por qu\^e?

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Csc, sec, and cot of special anglesright chevron icon

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Q. Q(x,y)=x0,2y0,9Q(x, y) = x^{0,2}y^{0,9} a) Essa fun\c{c}\~ao de produ\c{c}\~ao possui rendimentos crescentes, constantes ou decrescente de escala? Por qu\^e?
  1. Determine type of returns: To determine the type of returns to scale, we need to sum the exponents of xx and yy in the production function Q(x,y)=x0.2y0.9Q(x, y) = x^{0.2}y^{0.9}.
  2. Sum exponents: Sum the exponents: 0.2+0.9=1.10.2 + 0.9 = 1.1.
  3. Check for increasing returns: Since the sum of the exponents is greater than 11 (1.1>11.1 > 1), the production function has increasing returns to scale.

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