Hemming Company reported the following current$-$year purchases and sales for its only product.

DateActivitiesUnits Acquired at CostUnits Sold at RetailJanuary $1$Beginning inventory$200$units@ $$10=$$ $2,000$January $10$Sales$150$units@ $$40$March $14$Purchase$350$units@ $$15=5,250$March $15$Sales$300$units@ $$40$July $30$Purchase$450$units@ $$20=9,000$October $5$Sales$430$units@ $$40$October $26$Purchase$100$units@ $$25=2,500$Totals$1,100$units$$$ $18,750880$units$$

Hemming uses a periodic inventory system.

$($a$)$ Determine the costs assigned to ending inventory and to cost of goods sold using FIFO.

$($b$)$ Determine the costs assigned to ending inventory and to cost of goods sold using LIFO.

$($c$)$ Compute the gross profit for each method.