Question #307514

A cake retailer increases the price of its cakes from £2.00 to £2.60 per cake and the quantity demanded decreases from 60 cakes per day to 45 cakes per day.

The price elasticity of demand for the retailer’s cake is:

A​-0.25

B​-0.3

C​-0.83

D​-1.2


1
Expert's answer
2022-03-13T19:01:29-0400

Price elasticity of demand = percentage change in quantity/percentage change in price

percentage change in quantity = 6045105/2​ \frac{60-45}{{105}/2}


=1552.5100​ \frac{15}{52.5}*100

=28.57%

percentage change in price = 2.602.004.6/2​ \frac{2.60-2.00}{4.6/2}

​ = 0.62.3​ \frac{0.6}{2.3}100*100

=26.09%

price elasticity of demand = 28.5726.09​ \frac{28.57}{26.09} = -1.095

the answer is approximately D.

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