what is the relationship between two goods if marginal rate of substitution between them is zero
Goods that have its marginal rate of substitution between them being zero are termed complementary goods. To find the marginal rate, the marginal utility of product 1 is divided by the marginal utility of product 2 (Becchetti et al., 2020). The outcome should be the same as the change in quantity of product 2 divides it by a change in the quantity of product 1.
MRS1,2 =MU1/MU2= Δ quantity of product 2/Δg quantity of product 1
The indifference curve will be in the form of L shape. The Marginal Rate of substitution of vertical indifference curve will be
The indifference curve (IC) of complementary good is L shape.
MRS of IC (Vertical) = Δ quantity of product 2/0=0
or
0/Δquantity of product 1= 0
Reference
Becchetti, L., Bruni, L., & Zamagni, S. (2020). The microeconomics of wellbeing and sustainability: Recasting the economic process.
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