The Home and Garden (HG) chain of superstores imports decorative planters from Italy. Weekly demand for planters average 1500 units with a standard deviation of 800. Each planter costs $10. HG incurs a holding cost of 25% per year to carry inventory. Each order shipped from Italy incurs a fixed transportation and delivery cost of $10,000 irrespective of the number of planters ordered. Consider 52 weeks in the year.
Determine the optimal order quantity of planters for HG.