NO.PZ2016012101000140
问题如下:
Cinnamon Corp. started business in 2007 and uses the weighted average cost method. During 2007, it purchased 45,000 units of inventory at €10 each and sold 40,000 units for €20 each. In 2008, it purchased another 50,000 units at €11 each and sold 45,000 units for €22 each. Its 2008 cost of sales (€ thousands) was closest to:(assume the companies use a periodic inventory system)
选项:
A.€490.
B.€491.
C.€495.
解释:
B is correct.
Cinnamon uses the weighted average cost method, so in 2008, 5,000 units of inventory were 2007 units at €10 each and 50,000 were 2008 purchases at €11. The weighted average cost of inventory during 2008 was thus (5,000 ×10) + (50,000×11) = 50,000 + 550,000 =€600,000, and the weighted average cost was approximately €10.91 =€600,000/55,000. Cost of sales was €10.91×45,000, which is approximately €490,950.
解析:2007年买的存货没全卖掉,2008年年初库存还有5000件,每件单价10块,2008年又采购了50000件,每件11块,加起来总成本=50000+550000=600000,再除以总件数55000,加权平均成本=600000/55000=10.91,这是2008年每件存货的成本,问的是2008年的COGS,2008年卖掉了45000件,COGS=45000*10.91=490950,用thousand作单位就是491。
之前看有一个答案是在这样的:
算2008的平均成本,就是用这一年每一次购买的成本加权平均
2007年买入了45000,卖出了40000,所以剩下5000,这5000就是2018的初始成本,即5000*10
然后2008年又买入了50000,每个11块,所以就是50000*11
所以平均就是(5000*10+50000*11)/(5000+50000)
请问(5000*10+50000*11)/(5000+50000)这个公式怎么理解?为什么不是(5000*10+40000*11)/(45000)?