(b)Consider a transportation model with m sources and n destinations. Describe briefly how you can resolve the following situations while solving the problem:

The below figure shows the flow of traffic near a city’s Civic Centre during the rush hours on a typical weekday. Each road can handle a maximum of 1000 cars/ hour without causing congestion. The flow of traffic is controlled by traffic lights at each of the five intersections. a. Formulate a system of linear equations describing the traffic flow.b. Solve the system devised in part (a) ensuring no congestion.c. Suppose 7th avenue between 3rd and 4th streets is soon to be closed for road repairs. Find one possible flow pattern that will result in a smooth flow of traffic.

The linear equations -3r - y 3 and 6a + 2y = 1 is said to be %3D inconsistent O independent dependent

Formulate ONE real-life problem involving the concepts of conversion of measurements and linear equations in one variable. • Specific activity may involve any of the following: - distance/length - time - mass/weight - temperature - volume/capacity - rate

Consider the following system of equations and its graph: (- 4x + y - 17 3x + 2y 10 18 16 14 12 10 -8 -10 -12 -14- -16 A) What is the soluition of the svstem?

Work this problem involving silver rental cars with navigation systems. Assume that the car lot contains 25% Corvettes, 50% BMWs, and 25% Porsches. Of the Corvettes, 70% have navigation systems, 10% of the BMW's have navigation systems, and 50% of the Porsches have navigation systems. Furthermore, 40% of the Corvettes, 90% of the BMWs, and 70% of the Porsches are silver. The property of being silver is independent from having a navigation system. You are assigned a car at random. - If the car has a navigation system and is silver, what is the probability that it is a Corvette?