Ans.) Price elasticity of demand measures the responsiveness of the change in quanity demanded to the change in price.
The Arc elasticity is calculated using the mid-point of the variables - Quantity and Price as it eliminates the problem of direction in calculating the elasticity of demand.
Mathematically,
Arc Elasticity = (change in quantity/ Mid- point of quantity) ÷ (change in price/Mid- point of price)
Price increases from $8 to $8.6
Change in Price = $0.6
Mid point of price = $8.3
Demand decreases from 5200 to 4700
Change in demand = - 500
Mid point quantity = 4950
Substituting above values in the formula:
= ( -500/4950) ÷ (0.6/8.3)
Arc Elasticity = - 1.40
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