NO.PZ2023040501000155
问题如下：
French notes that for the year just ended (2014), Archway’s cost of goods sold was 30% of sales. To forecast Archway’s income statement for 2015, French assumes that all companies in the industry will experience an inflation rate of 8% on the cost of goods sold. Exhibit 4 shows French’s forecasts relating to Archway’s price and volume changes.
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：
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) – 1
Revenue growth = (1.05) × (0.97) – 1 = 1.85%
COGS increase = (1 + Price increase for COGS) × (1 + Volume growth) – 1
COGS increase = (1.08) × (0.97) – 1 = 4.76%
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 COGS
Forecasted gross profit = 101.85 – 31.43 = 70.42
Forecasted gross profit margin = Forecasted gross profit/Forecasted revenue
Forecasted gross profit margin = 70.42/101.85 = 69.14%
为什么计算COGS增长率时不用考虑30%of sales？而是在预测的时候才考虑
