Math Problem Statement
Solution
The table provided contains information on various ingredients (P, Q, and R) with data on:
- Price per kilogram for the years 2017 and 2018.
- Price index in 2019 based on the year 2017.
- Percentage of usage for each ingredient.
The missing values are labeled as and 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:
- Price per kilogram for the years 2017 and 2018.
- Price index in 2019 based on the year 2017.
- Percentage of usage for each ingredient.
The missing values are labeled as and 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 | 1.80 | 8 |
To find the missing values and :
-
For (price of R in 2017): If you have the price index for ingredient R in 2019, you could use the formula:
-
For (price index of R in 2019): If the price of R in 2017 and 2019 is known, apply the same formula to solve for .
Would you like further details on the calculations, or do you have specific values for the price of R in 2019?
Further Questions
- How can we calculate the 2019 price index if the 2017 price and 2019 price are known?
- What effect does a price increase from 2017 to 2018 have on the price index for 2019?
- How can the percentage of usage impact the overall cost calculation for these ingredients?
- What assumptions are needed to calculate and if additional information isn’t provided?
- 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.
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Math Problem Analysis
Mathematical Concepts
Price Index
Percentage Calculations
Linear Equations
Formulas
Price Index = (Price in 2019 / Price in 2017) * 100
Theorems
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Suitable Grade Level
Grades 10-12