answer with R studio, post code.

Below you find a section of one-way streets in downtown St Paul, where the arrows indicate traffic direction. The traffic control center has installed electronic sensors that count the numbers of vehicles passing through the 6 streets that lead into and out of this area. Assume that the total flow that enters each intersection equals the the total flow that leaves each intersection (we will ignore parking and staying) 450 400 610 640 14 22] 22 520 3 600 a. Create a system of linear equations to find the possible flow values for the inner streets X1, 22, 23, 24 b. Using RStudio, enter the augmented matrix of this system, and solve it using the rref command. Type out the general solution to this system of equations. c. Your answer to part b should be an infinite solution set. Give two distinct solutions that are realistic in terms of traffic flow. d. Is it possible to close down the street labeled by X, for road construction? That is, is it possible to have x2 = 0 and to meet the other conditions