Need help with understanding this.. PLEASE write out ALL work so I can try to get a clear understanding on how this all makes sense. TY! Logistics & Transportation

Problem 1 Consider the following transportation network with 2 nodes and 2 links. The O/D pair w1 = (1, 2) and the demand dy = 100. The user link travel cost functions are: Call.) = 8. +80, (X) = 1+20. (a). Suggest two different ways for computing the U-O link flow pattern. (b). Apply one of the ways in (a). to compute the U-O link flow pattern for this network. (c). What is the U-O path flow pattern for this network? Problem 2 Consider the following transportation network with a single O/D pair to = (1, 2) and 3 links. Assume that the travel demand dus = 100. 5 1 The ser link cost functions are calfa) = 2a + 160, (4)= 3/5 +50, (a) = {c+ 70. (a). Compute the user-optimizing (U-O) link flow pattern. (b). Prove that the link flow pattern that you computed in (a) is, indeed, a U-O one