Suppose that Kenya Railways serves two major separate customers, namely: urban users and rural users of the railway line. The company can charge different prices to these two customers. Suppose that the total cost for running trips by Kenya Railways is given by the following cost function: C= 25+10Q Where: C = total cost Q = total output of trips made by the railway line      The inverse demand functions for the two customers are given as follows: P1 = 40-5Q1                 P2 =90-2Q2 Where: p1 = Price charged to urban users; and  is number of trips by urban users p2 = Price charged to rural users; and  is number of trips by rural users Required: How many trips should Kenya Railway serve in each market and what price should the firm charge in each market?                Compute the profits of Kenya Railways without price discrimination

ENGR.ECONOMIC ANALYSIS
14th Edition
ISBN:9780190931919
Author:NEWNAN
Publisher:NEWNAN
Chapter1: Making Economics Decisions
Section: Chapter Questions
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  1. Suppose that Kenya Railways serves two major separate customers, namely: urban users and rural users of the railway line. The company can charge different prices to these two customers. Suppose that the total cost for running trips by Kenya Railways is given by the following cost function: C= 25+10Q

Where:

C = total cost

Q = total output of trips made by the railway line

     The inverse demand functions for the two customers are given as follows: P1 = 40-5Q1

                P2 =90-2Q2

Where:

p1 = Price charged to urban users; and  is number of trips by urban users

p2 = Price charged to rural users; and  is number of trips by rural users

Required:

  • How many trips should Kenya Railway serve in each market and what price should the firm charge in each market?               
  • Compute the profits of Kenya Railways without price discrimination    
  1. From your knowledge of the relationships between various costs of production, fill in the blanks of Table 1 below:     

Table 1

Q

TC

TFC

TVC

AC

MC

0

-

-

-

-

-

1

2960

-

-

-

 

2

-

-

-

1930

-

3

-

-

-

-

1100

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