Respuesta :
1.4545
First we calculate the price change percentage
(2-1.9)/2 = -5%
Then the change in demand percentage:
(118-110)/110 = 7.27%
the absolute value of the elasticity coefficient is then:
|demand/price| = |.0727/-.05%| = | -1.4545| = 1.4545
Given:
P₀ = $2.00, the original price
P₁ = $1.90, the new price
Q₀ = 110, the original demand
Q₁ = 118, the new demand
The price elasticity of demand is
[tex]\eta = \frac{(Q_{1}-Q_{0})/(Q_{1}+Q_{0})}{(P_{1}-P_{0})/(P_{1}+P_{0})} \\\\ = \frac{8/228}{-0.1/3.9} \\\\ =-1.3684 \\\\ |\eta| = 1.3684[/tex]
Answer: |η| = 1.37 (nearest hundredth)
P₀ = $2.00, the original price
P₁ = $1.90, the new price
Q₀ = 110, the original demand
Q₁ = 118, the new demand
The price elasticity of demand is
[tex]\eta = \frac{(Q_{1}-Q_{0})/(Q_{1}+Q_{0})}{(P_{1}-P_{0})/(P_{1}+P_{0})} \\\\ = \frac{8/228}{-0.1/3.9} \\\\ =-1.3684 \\\\ |\eta| = 1.3684[/tex]
Answer: |η| = 1.37 (nearest hundredth)