Answer to Question #159291 in Microeconomics for Rooshan

Question #159291

When a flower shop raised the price of a floral arrangement from $20 to $28, the number of the arrangements sold decreased from 30 a week to 20. What is the price elasticity of demand for the flowers in this case?  


1
Expert's answer
2021-01-31T19:30:53-0500

Price elasticity of demand (PED) is the percentage change in quantity demanded of a commodity due to certain percentage change in its price.


PED = %change in quantity demand/%change in price


Mid point of quantity = (Q1+Q2)2=(30+20)2=25\frac{(Q1 + Q2)} {2}=\frac{ (30 + 20)} {2} = 25


Mid point of price =(P1+P2)2=(20+28)2=24\frac{(P1 + P2)} {2}= \frac{(20 +28)} {2} = 24


%change in quantity = (Q2Q1)Midpointquantity=(2030)25=0.4\frac{(Q2 - Q1)} {Mid point quantity}= \frac{(20 - 30)} {25} = -0.4


%change in quantity = (P2P1)Midpointprice=(2820)24=0.3\frac{(P2 - P1)} {Mid point price}= \frac{(28 - 20)} {24} = 0.3


Price Elasticity of Demand =0.40.3=1.3\frac{ -0.4} {0.3} = 1.3


Total Revenue (TR) = Total Quantity ×× Price per unitTotalQuantity×× Priceperunit


Initial TR = Q1×P1=30×20=600Q_1×P_1 = 30 ×20 = 600


Present TR = Q2×P2=20×28=560Q_2×P_2 = 20 × 28 = 560


The total revenue of the firm dropped from $600 to $560

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