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
Plastic 180 15 16 17 18
Plastic 360 50 55 64 67
Bronze 90 7 8 9 10
Bronze 180 3 4 5 6
Bronz360 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.)

For plastic

Year 1   97,000 units per year and 2 operators

Year 2  115,000 units per year and 3 operators

Year 3  136000 units per year and 3 operators

Year 4  141000 units per year and 3 operators

For bronze

Year 1 21000 units per year, 2 machines and 4 operators in total

Year 2  24000 units per year, 2 machines and 4 operators in total

Year 3 29000 units per year, 3 machines, 5 operators in total

Year 4 34000 units per year, 3 machines, 6 operators in total

Explanation:

for plastic,

since there is only one machine that is operated by 4 operators,

Units per operator= Machine speed/number of operator

                             = 200,000/4

                             = 50,000 units per operator

so for year 1, for 97,000 units 2 operators will be enough and for year 2, year 3 and year 4, 3 operators will be enough

for Bronze

since there are 3 machines and total number of 6 operators,

Units per operator= sum of speed of all machines/total number of operator

                            =  36000/6

                           =  6,000 units per operator

so for year 1 for 21,000 units per year, 4 operators will be required (6000×4) with 2 machines

 for year 2 for 24000 units per year, 4 operators will be requried with 2 machines

for year 3 for 29,000 units per year, 3 machines will be required with 5 operators to meet the demand

for year 4 for 34,000 units, 3 machines will be requried with 6 operators

answer: 11/12

step-by-step explanation: 4 1/4 and 3 1/3 is equivalent to 4 3/12 and 3 4/12. 4 3/12 - 3 4/12 =11/12

c is the correct answer.