equation based on the data from its 50 branch offices and dealerships across the
country:
Q = + 10,000 – 60P + 300A + 50 c P - 100 C A +50 I
(7400) (25) (120) (22) (68) (28)
R2 = 0.74 F = 28.56
The variables and their assumed values are
Q = Quantity
P = Price of basic model = 500
A =Advertising expenditures = 50
c P price of the competitor’s product = 600
C A = competitor’s advertising expenditures = 30
I = per capita income = 75
a. Compute the elasticities for each variable. On this basis, discuss the relative
impact that each variable has on the demand. What implications do these results
have for the firm’s marketing and pricing policies?
Solution:
a.
For each variable ∆Q/∆variable = variable coefficient
So PED = variable coefficient x variable initial value/Q
PEDP = -60X500/Q
Q= 10000-60x500+300x50+50x600-100x30+50x75 =
= 25750
PEDP = -60X500/25750 = -1.17
PEDPX = 300x50/25750 = 0.58
PEDI= 50x600/25750 = 1.17
PEDA= -100x30/25750 = -0.12
PEDM= 50x75/25750 = .15
There is negative elasticity between competitors advertising and demand whereas
there is positive elasticity for rest of the variables.