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 forcasted demand for the next four years as follows:
Yearly Demand
Year 1 Year 2 Year 3 Year 4
Plastic 90 32 44 55 56
Plastic 180 15 16 17 18
Plastic 360 50 55 64 67
Bronze 90 7 8 9 10
Bronze 180 3 4 5 6
Bronze 360 11 12 15 18
Both production lines can produce all different types of nozzles. The bronze machines needed for the bronze sprinklers require two operators and can produce up to 12,000 sprinklers. Only three bronze machines are available.
QUESTION:
In years 1 and 4, how many bronze machines are needed to satisfy demand?