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 42 54 60 Plastic 180 16 14 15 16 Plastic 360 45 54 69 68 Bronze 90 5 7 10 15 Bronze 180 2 2 5 10 Bronze 360 12 13 13 20 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 16,000 sprinklers. The plastic injection molding machine needed for the plastic sprinklers requires five operators and can produce up to 260,000 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.) (Enter the demand values in thousands. Round your answers to 2 decimal places.)

Practical Management Science

6th Edition

ISBN:9781337406659

Author:WINSTON, Wayne L.

Publisher:WINSTON, Wayne L.

Chapter5: Network Models

Section5.3: Assignment Models

Problem 10P

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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		42		54	60
Plastic 180	16		14		15	16
Plastic 360	45		54		69	68
Bronze 90	5		7		10	15
Bronze 180	2		2		5	10
Bronze 360	12		13		13	20

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 16,000 sprinklers. The plastic injection molding machine needed for the plastic sprinklers requires five operators and can produce up to 260,000 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.) (Enter the demand values in thousands. Round your answers to 2 decimal places.)

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