Calculating Product B Manufacturing Percentage

To find the year when product B had the lowest percentage of manufacturing relative to the combined manufacturing, follow these steps:

1. Calculate Total Manufacturing Per Year:

   For each year ($y$) from 2021 to 2024, sum the manufacturing output of Product A ($M_{A, y}$) and Product B ($M_{B, y}$). The formula is:
   $M_{Total, y} = M_{A, y} + M_{B, y}$

2. Determine Product B's Percentage:

   For each year, calculate the percentage of Product B's manufacturing concerning the total manufacturing for that year. The formula is:
   $P_{B, y} = \frac{M_{B, y}}{M_{Total, y}} \times 100$

3. Identify the Lowest Percentage:

   Compare the calculated percentages ($P_{B, y}$) for all the years (2021, 2022, 2023, 2024). The year with the minimum value represents the period when Product B had the lowest manufacturing percentage relative to the combined total.

Interpreting Manufacturing Data

By applying the formulas above to the manufacturing data for each year, you can determine the specific year where Product B's share of the total manufacturing was smallest.

For example, if the calculations yielded the following hypothetical percentages:

• 2021: 35%
• 2022: 32%
• 2023: 28%
• 2024: 30%

In this hypothetical scenario, 2023 would be the year with the lowest percentage (28%).