The Home and Garden $($HG$)$ chain of superstores imports decorative planters from Italy. Weekly demand for planters averages $1,500$ with a standard deviation of $800.$ Each planter costs $$10.$ HG incurs a holding cost of $25\%$ per year to carry inventory. HG has an opportunity to set up a superstore in the Bakersfield region. Each order shipped from Italy incurs a fixed transportation and delivery cost of $$10,000.$ Consider $52$ weeks in the year.

What is the optimal order quantity of planters for HG$?$

The Home and Garden $($HG$)$ chain of superstores imports decorative planters from Italy. Weekly demand for planters averages $1,500$ with a standard deviation of $800.$ Each planter costs $$10.$ HG incurs a holding cost of $25\%$ per year to carry inventory. HG has an opportunity to set up a superstore in the Bakersfield region. Each order shipped from Italy incurs a fixed transportation and delivery cost of $$10,000.$ Consider $52$ weeks in the year.

What is the optimal order quantity of planters for HG$?$

$24,980$

$21,463$

$27,093$

$30,083$