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The table provided contains information on various ingredients (P, Q, and R) with data on:

1. Price per kilogram for the years 2017 and 2018.
2. Price index in 2019 based on the year 2017.
3. Percentage of usage for each ingredient.

The missing values are labeled as \( a \) and \( b \) in the table.

Here's a summary of the given dataThe table provided contains information on various ingredients (P, Q, and R) with data on:

1. Price per kilogram for the years 2017 and 2018.
2. Price index in 2019 based on the year 2017.
3. Percentage of usage for each ingredient.

The missing values are labeled as \( a \) and \( b \) in the table.

Here's a summary of the given 

| Ingredient (Bahan) | Price per kg in 2017 (RM) | Price per kg in 2018 (RM) | Price Index 2019 (based on 2017) | Percentage of Usage (%) |
|--------------------|---------------------------|---------------------------|---------------------------------|--------------------------|
| P                  | 10.00                     | 10.90                     | 109                             | 55                       |
| Q                  | 8.40                      | 9.00                      | 107                             |                          |
| R                  | \( b \)                   | 1.80                      | \( a \)                         | 8                        |

To find the missing values \( a \) and \( b \):

1. **For \( b \)** (price of R in 2017): If you have the price index for ingredient R in 2019, you could use the formula:
   \[
   \text{Price Index} = \frac{\text{Price in 2019}}{\text{Price in 2017}} \times 100
   \]

2. **For \( a \)** (price index of R in 2019): If the price of R in 2017 and 2019 is known, apply the same formula to solve for \( a \).

Would you like further details on the calculations, or do you have specific values for the price of R in 2019? 

### Further Questions
1. How can we calculate the 2019 price index if the 2017 price and 2019 price are known?
2. What effect does a price increase from 2017 to 2018 have on the price index for 2019?
3. How can the percentage of usage impact the overall cost calculation for these ingredients?
4. What assumptions are needed to calculate \( a \) and \( b \) if additional information isn’t provided?
5. How would changing the base year affect the price index values?

### Tip
When dealing with price indices, always remember that they compare changes relative to a base year, often simplifying comparisons across time.

Based on the table provided, find the missing values \( a \) and \( b \).

Learn how to calculate missing values in a price index table. This example covers calculating the price index for 2019 based on 2017 prices and determining missing values \( a \) and \( b \) for ingredient costs. Suitable for Grades 10-12.

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