Homework $3$

Fall $2024$

Problem $1$

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:

$\backslash$table$[[,$Yearly Demand$],[,1($in $000$s$),2($in $000$s$),3($in $000$s$),4($in $000$s$)],[$Plastic $90,32,44,55,56],[$Plastic $180,20,25,30,25],[$Plastic $360,45,50,60,62],[$Bronze $90,10,7,7,8],[$Bronze $180,6,5,6,9],[$Bronze $360,10,16,17,20]]$

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?

Please put your answer in the following table.

$\backslash$table$[[$Plastic$,$Year $1,$Year $2,$Year $3,$Year $4],[$Demand for plastic sprinklers,,,,$],[$Percentage of capacity used,,,,$],[$Machine requirements,,,,$],[$Labor requirements,,,,$],[$Bronze$,$Year $1,$Year $2,$Year $3,$Year $4],[$Demand for bronze sprinklers,,,,$],[$Percentage of capacity used,,,,$],[$Machine requirements,,,,$],[$Labor requirements,,,,$]]$