Question

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	31		40		52		53
Plastic 180	14		16		17		14
Plastic 360	52		52		63		65
Bronze 90	6		6		5		15
Bronze 180	2		2		5		13
Bronze 360	10		12		11		22

Both production lines can produce all the different types of nozzles. The bronze machines needed for the bronze sprinklers require three operators and can produce up to 18,000 sprinklers. The plastic injection molding machine needed for the plastic sprinklers requires four operators and can produce up to 300,000 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.)

Answer 1

ANSWER

BRONZE MACHINES

Productions	18,000 Units
Total Bronze Machines	3
Lines	2
Total Bronze units available for year(18000*3*2)	108,000
Bronze capacity throughout four years(108,000*4)	432,000

Therefor Bronze machine cannot meet the total requirement(90,000+180,000+360,000)=630,000)

PLASTIC MACHINES

Productions	300,000
Total injection machine	1
Lines	2
Total plastic units available for year(300,000*1*2)	600,000
Plastic capacity throughout four years(600,000*4)	2,400,000

Demand is same as above in bronze(630,000)

	YEAR 1	YEAR 2	YEAR 3	YEAR 4
PLASTIC
Plastic 90	31	40	52	53
Plastic 180	14	16	17	14
Plastic 360	52	52	63	65
Total demand for plastic	97	108	132	132
Percentage of capacity used(per 300000)	32.33	36	44	44
Machine requirement(NO. of Machine 1)	0.323	0.36	0.44	0.44
Labor requirement(4 operators)	1.292 (0.323*4)	1.44 (0.36*4)	1.76 (0.44*4)	1.76 (0.44*4)

	YEAR 1	YEAR 2	YEAR 3	YEAR 4
BRONZE
Bronze 90	6	6	5	15
Bronze 180	2	2	5	13
Bronze 360	10	12	11	22
Total demand for bronze	18	20	21	50
Percentage of capacity used(18000*3=54000)	33.33	37.03	38.88	93
Machine requirement(no. of machine 3)	0.999	1.1109	1.1664	2.79
Labor requirement(no. of operators 3)	2.997 (0.999*3)	3.3327 (1.1109*3)	3.4992 (1.1664*3)	8.37 (2.79*3)