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?