Percentage Change
1. Let's restate the problem: We need to correctly calculate the percentage change in solution productivity and the percentage improvement in multi-factor productivity.
2. The formula for percentage change is:
$$\text{Percentage Change} = \frac{\text{New Value} - \text{Old Value}}{\text{Old Value}} \times 100\%$$
3. For multi-factor productivity improvement, the formula is similar:
$$\text{Percentage Improvement} = \frac{\text{New MFP} - \text{Old MFP}}{\text{Old MFP}} \times 100\%$$
4. To proceed, we need the original and new values for both solution productivity and multi-factor productivity.
5. Once we have those values, we substitute them into the formulas above and simplify step-by-step.
6. For example, if the old solution productivity is $P_\text{old}$ and the new is $P_\text{new}$, then:
$$\text{Percentage Change in Solution Productivity} = \frac{P_\text{new} - P_\text{old}}{P_\text{old}} \times 100\%$$
7. Similarly, for multi-factor productivity, if old is $MFP_\text{old}$ and new is $MFP_\text{new}$:
$$\text{Percentage Improvement in Multi-Factor Productivity} = \frac{MFP_\text{new} - MFP_\text{old}}{MFP_\text{old}} \times 100\%$$
8. Please provide the original and new values for both metrics so I can calculate the correct percentages.