Assume that total demand in a market is 1 and that customers are uniformly spread across the line segment from 0 to 1.There are only two companies in the market and there is no cost or service advantage held be either Firm 1 or Firm 2.Firm 1 locates at point a,and Firm 2 locates at point 1-b as shown in the figure.A customer chooses one firm or the other solely on the basis of distance travelled.

-The market share is maximized for both firms if they locate at the point(s)
A)a = 1 - 3b;b = $\frac { 1 - a } { 3 }$
B)a = ;b = 1 - 3a $\frac { 1 - b } { 3 }$
C)a = 0;b = 1
D)a = ;b = $\frac { 1 } { 2 }$ $\frac { 1 } { 2 }$

Question

Assume that total demand in a market is 1 and that customers are uniformly spread across the line segment from 0 to 1.There are only two companies in the market and there is no cost or service advantage held be either Firm 1 or Firm 2.Firm 1 locates at point a,and Firm 2 locates at point 1-b as shown in the figure.A customer chooses one firm or the other solely on the basis of distance travelled.
 
-The market share is maximized for both firms if they locate at the point(s)
A)a = 1 - 3b;b = $\frac { 1 - a } { 3 }$ 
B)a = ;b = 1 - 3a $\frac { 1 - b } { 3 }$ 
C)a = 0;b = 1 
D)a = ;b = $\frac { 1 } { 2 }$ $\frac { 1 } { 2 }$

Quizplus · Accepted Answer

The market share is maximized for both firms when they locate at the midpoint of the market, which is at a = 0.5 and b = 0.5.

Assume That Total Demand in a Market Is 1 and That