问题如下:
4. Based on Exhibit 4, Archway’s forecasted gross profit margin for 2015 is closest to:
选项:
A.62.7%.
B.67.0%.
C.69.1%.
解释:
C is correct.
The calculation of Archway’s gross profit margin for 2015, which reflects the industry-wide 8% inflation on cost of goods sold (COGS), is calculated as follows:
Revenue growth = (1 + Price increase for revenue) × (1 + Volume growth) -
Revenue growth = (1.05) × (0.97) -
COGS increase = (1 + Price increase for COGS) × (1 + Volume growth) -
COGS increase = (1.08) × (0.97) -
Forecasted revenue = Base revenue × Revenue growth increase
Forecasted revenue = 100 × 1.0185 = 101.85
Forecasted COGS = Base COGS × COGS increase
Forecasted COGS = 30 × 1.0476 = 31.43
Forecasted gross profit = Forecasted revenue -
Forecasted gross profit = 101.85 -
Forecasted gross profit margin = Forecasted gross profit/Forecasted revenue
Forecasted gross profit margin = 70.42/101.85 = 69.14%
老师,我的解题思路是直接通过比率变化,将forecasted gross profit margin公式变为全部用sales表示,[(1-3%)*(1+5%)*sales - 30%*sales*(1+8%)*(1-3%) ] / (1+5%)*(1-3%)*sales,分子分母约去sales计算出答案69.14%,请问这样理解可以吗?