Final answer:
To estimate the inventory at May 31 using the gross profit method, we calculate the gross profit, cost of goods sold (COGS), and then subtract the COGS from the cost of goods available for sale. The estimated inventory at May 31, assuming a 25% gross profit margin on net sales, is $674,200. If we assume a 25% gross profit margin on cost, the estimated inventory at May 31 is $22,020.
Step-by-step explanation:
To compute the estimated inventory at May 31 using the gross profit method, we first need to calculate the gross profit. The gross profit is 25% of the net sales, which is $917,100 - $69,300 - $12,200 = $835,600. Now, let's calculate the cost of goods sold (COGS) by subtracting the gross profit from the sales revenue: $917,100 - $835,600 = $81,500. To estimate the inventory at May 31, we need to find the cost of goods available for sale. This can be calculated by adding the inventory at the beginning ($146,400) to the purchases ($581,500) and the freight-in ($27,800): $146,400 + $581,500 + $27,800 = $755,700.
Next, we subtract the COGS ($81,500) from the cost of goods available for sale ($755,700) to find the estimated inventory at May 31: $755,700 - $81,500 = $674,200.
Therefore, the estimated inventory at May 31, assuming the gross profit is 25% of net sales, is $674,200.
Now, let's calculate the estimated inventory at May 31 using the gross profit method assuming the gross profit is 25% of cost. We can find the cost of goods sold by dividing the sales revenue by 1 plus the gross profit percentage: $917,100 / (1 + 0.25) = $733,680.
To estimate the inventory at May 31, we subtract the cost of goods sold from the cost of goods available for sale: $755,700 - $733,680 = $22,020.
Therefore, the estimated inventory at May 31, assuming the gross profit is 25% of cost, is $22,020.