Write the spatial equilibrium mathematical programming model

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Reference no: EM13878911

Consider the following spatial example involving trade and the following five coun- tries: U.S. (u), Japan (j), Canada (c), England (e), and Russia (r). The inverse market demand functions for each country are:
pdu = 300 - 1qdu pdj = 275 - 1qdj pdc = 200 - 1qdc pde = 155 - 1qde pdr = 220 - 1qdr

Suppose the five countries have the following inverse supply functions:
psu = 30 + 1qsu psj = 75 + 1qsj psc = 20 + 1qsc pse = 15 + 1qse psr = 45 + 1qsr

Further assume the following unit transportation costs across all countries:

 

u

j

c

e

r

u

0

8

1

4

5

j

8

0

9

10

6

c

1

9

0

3

4

e

4

10

3

0

2

r

5

6

4

2

0

Write the spatial equilibrium mathematical programming model corresponding to this problem assuming perfect competition.

Reference no: EM13878911

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