Problem:

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:

Yearly Demand 1- (in 000s) - 2 (in 000s) - 3 (in 000s) - 4 (in 000s)

Plastic 90 - 32- 44- 55- 56

Plastic180 -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 the different types of nozzles. The bronze machines needed for the bronze sprinklers require two operators and can produce up to 12,000 sprinklers. The plastic injection molding machine needed for the plastic sprinklers requires four operators and can produce up to 200,000 sprinklers. Three bronze machines and only one injection molding machine are available.

What are the capacity requirements for the next four years? (Assume that there is no learning.)

Solve the given numerical problem and illustrate step by step calculation.