The accompanying figure shows a network of one-way streets with traffic flowing in the directions indicated. The flow rates along thestreets are measured as the average number of vehicles per hour.3758003502008002002501225(a) Set up a linear system whose solution provides the unknown flow rates.X2= 25X3- X4 = -600X1 - X2= 550-X1+ X4 = 25X2 - X3= 550X3X4= -600X1 - X2= 25+ X4 = 25X2= 25X2 + X3= -600X3 + X4 =550-X2+ X4 =25X2= 25X2 + X3= -600X3 + X4 = 550-X2+ X4 = 25(b) Solve the system for the unknown flow rates.X1=+ S, X2 =+S, X3+S, X4 =S(c) If the flow along the road fromA to Bmust be reduced for construction, what is the minimum flow that is required to keeptraffic flowing on all roads?The minimum required flow ivehicles per hour.

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The accompanying figure shows a network of one-way streets with traffic flowing in the directions indicated. The flow rates along the streets are measured as the average number of vehicles per hour. 375 800 350 200 800 200 250 225 (a) Set up a linear system whose solution provides the unknown flow rates. X2 = 25 X3- X4 = -600 X1 - X2 = 550 -X1 + X4 = 25 X2 - X3 = 550 X3 X4 = -600 - X2 = 25 -X1 + X4 = 25 X2 = 25 X2 + X3 = -600 X3 + X4 = 550 -X2 + X4 = 25 X2 = 25 X2 + X3 = -600 X3 + X4 = 550 -X2 + X4 = 25 (b) Solve the system for the unknown flow rates. X1= + S, X2 = +S, X3 +S, X4=S (c) If the flow along the road from A to B must be reduced for construction, what is the minimum flow that is required to keep traffic flowing on all roads? The minimum required flow 1 vehicles per hour.