Hat Tricks Company $(HTC)is$ a Buffalo, New York, manufacturer $of$ hats and gloves. Recently, the company purchased a new machine $to$ aid $in$ producing the hat product lines. Production efficiency $on$ the new machine increases with the workforce experience. $It$ has been shown that $as$ cumulative output $on$ the new machine increases, average labor time per unit decreases $upto$ the production $ofat$ least $3,200$ units. $AsHTCs$ cumulative output doubles from a base $of100$ units produced, the cumulative average labor time per unit declines $by$ a learning rate $of90\%.$

$HTC$ has developed a new style $of$ men$s$ hat $tobe$ produced $on$ the new machine. One hundred $of$ these hats can $be$ produced $in$ a total $of20$ labor hours. All other direct costs $to$ produce each hat are $$20$ per hat, excluding direct labor cost. Direct labor cost per hour $is$ $$64.$ Fixed costs are $$8,000$ per month, and $HTC$ has the capacity $to$ produce $3,200$ hats per month.

Required:

$HTC$ plans $to$ set the selling price for the new men$s$ hat $at200\%of$ direct production cost. $If$ the company $is$ planning $to$ sell $100$ hats, what $is$ the selling price? $If$ the plan $isto$ sell $800$ hats, what should $be$ the selling price?

Note: $Do$ not round intermediate calculations. Round your answers $to2$ decimal places.