Step 1: Calculate initial Gross Profit and Gross Profit Margin.
- Initial Gross Profit = Revenue - COGS
- Initial Gross Profit = 5,000,000−2,000,000 = 3,000,000
- Initial Gross Profit Margin = (Gross Profit / Revenue) * 100%
- Initial Gross Profit Margin = (3,000,000/5,000,000) * 100% = 60.0%
Step 2: Calculate the cost of coffee beans and the value of the price increase.
- Cost of beans = 75% of COGS = 0.75 * 2,000,000=1,500,000
- Price increase amount = 15% of bean cost = 0.15 * 1,500,000=225,000
Step 3: Calculate the new COGS, Gross Profit, and Gross Profit Margin.
- New COGS = Initial COGS + Price increase amount
- New COGS = 2,000,000+225,000 = 2,225,000
- New Gross Profit = Revenue - New COGS
- New Gross Profit = 5,000,000−2,225,000 = 2,775,000
- New Gross Profit Margin = (New Gross Profit / Revenue) * 100%
- New Gross Profit Margin = (2,775,000/5,000,000) * 100% = 55.5%
Step 4: Final Answer and Interpretation.
The supplier's price increase will reduce CafeLuxe's Gross Profit by $225,000 (from $3,000,000 to 2,775,000).
The Gross Profit Margin will decrease from 60.0% to 55.5%. This 4.5 percentage point drop demonstrates the significant financial risk associated with high supplier power from a single-source dependency.