Investment Kpi Problems
1. **Problem 1 – Compute ROI and interpret result:**
ROI (Return on Investment) is calculated as
$$\text{ROI} = \frac{\text{Operating Income}}{\text{Investment}} \times 100\% = \frac{250000}{1000000} \times 100\% = 25\%$$
This means the company earns 25% return annually on the invested amount.
A 25% ROI is generally good; management should consider continuing similar investments if risks and market conditions are stable.
2. **Problem 2 – Calculate Residual Income (RI):**
Residual Income formula:
$$\text{RI} = \text{Operating Income} - (\text{Required Rate} \times \text{Total Assets}) = 500000 - (0.10 \times 2000000) = 500000 - 200000 = 300000$$
Since RI is positive (₱300,000), Division A exceeded the minimum required return, satisfying performance expectations.
3. **Problem 3 – Suggest KPIs for a hotel chain:**
- Customer Satisfaction Score: measures guest happiness; higher scores indicate better experience supporting satisfaction goals.
- Average Cost per Occupied Room: helps monitor cost efficiency by tracking expenses associated with rooms served.
- Booking Conversion Rate: indicates effectiveness in turning inquiries into reservations, impacting revenue and efficiency.
These KPIs provide quantifiable data to evaluate performance against goals.
4. **Problem 4 – Benchmarking inventory turnover:**
Possible reasons for lower turnover (6 vs. 8 times):
- Overstocking or slow-moving inventory increasing holding periods.
- Inefficient sales or marketing reducing inventory movement.
Proposed actions:
- Optimize inventory levels by forecasting demand better.
- Enhance promotions or sales strategies to increase turnover.
5. **Problem 5 – Special order relevant costing:**
Calculate contribution per unit:
$$\text{Price} - \text{Variable Cost} = 250 - 220 = 30$$
Total contribution for 500 units:
$$30 \times 500 = 15000$$
Fixed costs do not change, so they are irrelevant.
Since the special order yields a positive contribution of 15000, accepting the order increases profit.
Thus, the company should accept the special order.