342 Extra Credit problems
1. 6 pts into HW
(a) Find the general traffic pattern in the freeway network shown in the figure
below. (i.e., solve the system of equation corresponding to the figure.)
(b) Describe the traffic pattern when the road whose flow is x4 is closed in this
freeway network.
2. 5 pts into HW
Suppose that a simplified economy has 4 factors: Agriculture (A), Energy (E),
Manufacturing (M) and Transportation (T). The A sector sells 10% of its output to
E and 25% to M and retains the rest. Sector E sells 30% of its output to A, 35% to
M, and 25% to T and retains the rest. Sector M sells 30% of its output to A, 15%
to E, and 40% to T and retains the rest. Sector T sells 20% of its output to A, 10%
to E, and 30% to M and retains the rest.
(a) Fill out the exchange table given below for this economy:
Sold by Purchased by
Agriculture Energy Manufacturing Transportatio
n
Agriculture
Energy
Manufacturing
Transportation
(b) Find the set of equilibrium prices for the economy. (i.e., solve the system
of equation corresponding to the table.)
3. 5 pts into HW
