In: Economics
Given the following demand functions find the point elasticity at a price of $4 and indicate if demand is elastic or inelastic at that point (give your answer as a fraction): a. Qd = 360 - 10P^2 b. Qd = 56 - 8P^0.5
( a)Qd = 360 - 10P^2 (b). Qd = 56 - 8P^0.5
Point elasticity of demand = (-1/slope)(P/Q)
Qd = 200
P = [(360-Qd)10]^0.5
DQ/DP = -20P
Price = $4
= -80
Point elasticity of demand = (1/80)(4/200)
= .0025
Demand is inelastic since the value of Point elasticity of demand is less than one.
At p = $4, Q = 40
Point elasticity of demand = (-1/slope)(P/Q)
DQ/DP = -4/P^.05
P = $4
= -2
Point elasticity of demand = (-1/-2)/(4/40)
= .05
Demand is inelastic since the value of Point elasticity of demand is less than one.