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Problem $5-4($Algo$)$

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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:

$\backslash$table$[[,$YEARLY DEMAND$],[,1($IN $000$s$),2($IN $000$s$),3($IN $000$s$),4($IN $000$s$)],[$Plastic $90,35,43,56,55],[$Plastic $\frac{?}{\text{b}\text{a}\text{r}}(180),\frac{?}{\text{b}\text{a}\text{r}}(13),\frac{?}{\text{b}\text{a}\text{r}}(17),\frac{?}{\text{b}\text{a}\text{r}}(15),\frac{?}{\text{b}\text{a}\text{r}}(15)$