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Answer:
The price elasticity of demand is 1.14.
The price is Elastic.
Elasticity is more than one so total revenue will fall.
Explanation:
Given the initial price of good x = $12
Final price of good x = $12.90
% change in price = [(12.90 - 12) / 12] x 100 = 7.5 %
Initial quantity = 5000
Final quantity = 4600
% change in quantity = [(4600 - 5000)/5000] x 100 = -8%
Elasticity = % change in quantity / % change in price
Elasticity = 8% / 7%
Elasticity = 1.14
The price elasticity of demand is 1.14.
The price is Elastic.
Since elasticity is more than one so total revenue will fall.