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# Answer to Question #3740 in Microeconomics for krithika

Question #3740
Demand function for a cola-type soft drink in general is q= 20 – 2P, where Q stand
for quantity and P stands for price.

a. Calculate point elasticities at prices of 5 and 9. Is the demand curve elastic or inelastic at these points?

b. Calculate arc elasticity at the interval between P = 5 and P = 6.
1
2011-07-28T10:59:12-0400
Point elasticity (Ed).
Ed=&delta;Q/&delta;P * P/Q , where &delta;Q/&delta;P= -2
P1=5, Q1=20-2*5=10;
P2=9, Q2=2;
Point elasticity at the price P1: Ed1 = -2 * 5/10= -1. Unitarily elastic demand.
Point elasticity at the price P2: Ed2 = -2 * 9/2= -9. The demand curve is elastic.
Arc elasticity (Ed).
Ed=&delta;Q/&delta;P * (P1+P2)/(Q1+Q2 )

P1=5, Q1=10;
P2=6, Q2=8;
Ed1= -2/1 * 11/18= -11/9=-1.22
The demand curve is elastic.

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Assignment Expert
19.10.18, 18:07

19.10.18, 15:34

The demand function for a cola-type soft drink in general is Q = 20 - 2P, where Q stands for quantity and P stands for price. a. Calculate point elasticities at prices of 5 and 9. Is the demand curve elastic or inelastic at these points? b. Calculate arc elasticity at the interval between P = 5 and P = 6. c. At which price would a change in price and quantity result in approximately no change

Assignment Expert
29.03.12, 17:11

It's given that& q= 20 – 2P So we can find derivative dq/dp=d(20-2p)/dp=-2

Scott
28.03.12, 12:48

How do you the Q/P = -2 in the point elasticity equation?

Assignment Expert
14.10.11, 18:35