Margeʹs Hair Salon production function is Q = f(K, L) = K0.5L0.5 where K is the number of hair dryers and L is the number of labour hours she employs. 1. Prove, with the aid of mathematics, the type of returns to scale exhibited by this production function.

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Chapter7: Production Economics
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Margeʹs Hair Salon production function is Q = f(K, L) = K0.5L0.5 where K is the number of hair dryers and L is the number of labour hours she employs.

1. Prove, with the aid of mathematics, the type of returns to scale exhibited by this production function. 

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At the moment, Marge uses 16 labour hours and 16 hair dryers. Suppose that Marge can use any amount of either input without affecting the market costs of the inputs. If Marge increased her use of labour hours and hair dryers by 10%, how much would her production increase?

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