The annual demand for a product has been projected at 2,000 units. this demand is assumed to be constant throughout the year. the ordering cost is $20 per order, and the holding cost is 20 percent of the purchase cost. currently, the purchase cost is $40 per unit. there are 250 working days per year. whenever an order is placed, it is known that the entire order will arrive on a truck in 6 days. how many units should the company order each time an order is placed if the company wishes to minimize total inventory cost?

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: 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.)