Consider the network diagram given in figure below with the indicated flow capacities along each branch. Determine the maximal flow from source node A to destination node F. (Show your solution) 4 6. 6. E B 0 D 8.

Required information The Childfair Company has three plants producing child push chairs that are to be shipped to four distribution centers. Plants 1, 2, and 3 produce 12, 17, and 11 shipments per month, respec- tively. Each distribution center heeds to receive 10 shipments per month. The distance from each plant to the respective distributing centers is given below: Distance Plant 1 2 3 1 1450 1750 1250 Distribution Center 3 1050 1250 1450 Obtain an optimal solution, and determine the total cost. Total Cost = $ 2 1950 2050 1850 The freight cost for each shipment is $100 plus 50 cents per mile. 4 1350 1650 1550

AlwaysRain Irrigation, Inc. would like to determine capacity requirements for the next four years. Currently, two production lines are in place for making bronze and plastic sprinklers. Three types of sprinklers are available in both bronze and plastic: 90- degree nozzle sprinklers, 180-degree nozzle sprinklers, and 360-degree nozzle sprinklers. Management has forecast demand for the next four years as follows: Plastic 90 Plastic 180 Plastic 360 Bronze 90 Bronze 180 Bronze 360 1 (IN 0005) 33 14 51 6 4 10 YEARLY DEMAND 2 (IN 000s) 3 (IN 000s) 4 (IN 0005) 42 15 54 6 4 Plastic Demand for plastic sprinklers Percentage of capacity used Machine requirements Labor requirements Bronze Demand for bronze sprinklers Percentage of capacity used Machine requirements Labor requirements 12 54 18 61 5 6 14 Both production lines can produce all the different types of nozzles. The bronze machines needed for the bronze sprinklers require four operators and can produce up to 15,000 sprinklers. The plastic…

Give one example of linear bus bay in Chicago