Problem $5-3$A Perpetual: Alternative cost flows P$1$

Montoure Company uses a perpetual inventory system. It entered into the following calendar$-$year purchases and sales transactions. $($For specific identification, units sold consist of $600$ units from beginning inventory, $300$ from the February $10$ purchase, $200$ from the March $13$ purchase, $50$ from the August $21$ purchase, and $250$ from the September $5$ purchase.$)$

$\backslash$table$[[$Date$,$Activities,Units Acquired at Cost,Units Sold at Retail$],[$Jan$.1,$Beginning inventory,$600$ units @ $$45$ per unit,$],[$Feb$.10,$Purchase,$400$ units & $$42$ per unit,$],[$Mar$.13,$Purchase,$200$ units $$27$ per unit,$],[$Mar$.15,$Sales,,$800$ units @$$75$ per unit$],[$Aug$.21,$Purchase,$100$ units @$$50$ per unit,$],[$Sep$.5,$Purchase,$500$ units @ $$46$ per unit,$],[$Sep$.10,$Sales,$,600$ units @$$75$ per unit$],[,$Totals,$1,800$ units,$1,400$ units$]]$

Required

Compute cost of goods available for sale and the number of units available for sale.

Compute the number of units in ending inventory:

Compute the cost assigned to ending inventory using $($a$)$ FIFO, $($b$)$ LIFO, $($c$)$ weighted average, and $($d$)$ specific identification. $($Round all amounts to cents.$)$

Compute gross profit earned by the company for each of the four costing methods in part $3.$

Analysis component

$5.$ The company's manager earns a bonus based on a percent of gross profit. Which method of inventory costing produces the highest bonus for the manager?