What percentage of total revenue do the SKUs LAP004 and LAP005 contribute together?
Published solution
**1. Compute Total 6-Month Revenue for Each SKU:**
- **LAP001:** Total units = \( 100+120+150+180+200+220 = 970 \), Price = \( \$1,299 \implies \text{Rev}_1 = 970 \times 1299 = \$1,260,030 \)
- **LAP002:** Total units = \( 6 \times 105 = 630 \), Price = \( \$1,799 \implies \text{Rev}_2 = 630 \times 1799 = \$1,133,370 \)
- **LAP003:** Total units = \( 6 \times 75 = 450 \), Price = \( \$2,499 \implies \text{Rev}_3 = 450 \times 2499 = \$1,124,550 \)
- **LAP004:** Total units = \( 6 \times 55 = 330 \), Price = \( \$1,999 \implies \text{Rev}_4 = 330 \times 1999 = \$659,670 \)
- **LAP005:** Total units = \( 6 \times 45 = 270 \), Price = \( \$1,499 \implies \text{Rev}_5 = 270 \times 1499 = \$404,730 \)
- **LAP006:** Total units = \( 6 \times 22.5 = 135 \), Price = \( \$1,199 \implies \text{Rev}_6 = 135 \times 1199 = \$161,865 \)
- **LAP007:** Total units = \( 6 \times 17.5 = 105 \), Price = \( \$999 \implies \text{Rev}_7 = 105 \times 999 = \$104,895 \)
**2. Calculate Combined Percentage for LAP004 and LAP005:**
- Combined revenue of LAP004 and LAP005 = \( 659,670 + 404,730 = \$1,064,400 \).
- Total revenue across all 7 SKUs = \( 1,260,030 + 1,133,370 + 1,124,550 + 659,670 + 404,730 + 161,865 + 104,895 = \$4,849,110 \).
- Percentage share = \( \frac{1,064,400}{4,849,110} \times 100\% \approx 21.95\% \approx 20\% \).
**Answer: 20% (Option B).**
A: **Incorrect:** 10% is too low; LAP004 alone contributes ~13.6% of total revenue.
B: **Correct:** LAP004 (\( \$659,670 \)) and LAP005 (\( \$404,730 \)) together generate \( \$1,064,400 \) out of \( \$4,849,110 \) (~22%, closest to 20%).
C: **Incorrect:** 15% underestimates the combined share (~22%).
D: **Incorrect:** 25% is higher than the closest rounded option (20%) in the official key.