Understanding the Data

The question asks us to find the difference between the total number of PCs sold and the total number of unsold PCs for Company B across the years 2014 to 2019. The provided table gives us the number of PCs produced (in thousands) and the percentage of PCs sold for both Company A and Company B for each year.

Calculating Sold and Unsold PCs for Company B

To find the difference, we first need to calculate the number of PCs sold and unsold by Company B for each year from 2014 to 2019. The number of unsold PCs is simply the total production minus the number of PCs sold, or Production multiplied by the percentage unsold (100% minus the percentage sold).

Let's calculate this for each year for Company B:

• 2014: Production = 45,000, Sold % = 50%.
  • Sold PCs = $45,000 \times \frac{50}{100} = 22,500$
  • Unsold % = $100\% - 50\% = 50\%$
  • Unsold PCs = $45,000 \times \frac{50}{100} = 22,500$
• 2015: Production = 48,000, Sold % = 40%.
  • Sold PCs = $48,000 \times \frac{40}{100} = 19,200$
  • Unsold % = $100\% - 40\% = 60\%$
  • Unsold PCs = $48,000 \times \frac{60}{100} = 28,800$
• 2016: Production = 64,000, Sold % = 75%.
  • Sold PCs = $64,000 \times \frac{75}{100} = 48,000$
  • Unsold % = $100\% - 75\% = 25\%$
  • Unsold PCs = $64,000 \times \frac{25}{100} = 16,000$
• 2017: Production = 62,000, Sold % = 60%.
  • Sold PCs = $62,000 \times \frac{60}{100} = 37,200$
  • Unsold % = $100\% - 60\% = 40\%$
  • Unsold PCs = $62,000 \times \frac{40}{100} = 24,800$
• 2018: Production = 65,000, Sold % = 80%.
  • Sold PCs = $65,000 \times \frac{80}{100} = 52,000$
  • Unsold % = $100\% - 80\% = 20\%$
  • Unsold PCs = $65,000 \times \frac{20}{100} = 13,000$
• 2019: Production = 80,000, Sold % = 50%.
  • Sold PCs = $80,000 \times \frac{50}{100} = 40,000$
  • Unsold % = $100\% - 50\% = 50\%$
  • Unsold PCs = $80,000 \times \frac{50}{100} = 40,000$

Summarizing Sold and Unsold PCs for Company B (2014-2019)

Calculating Total Sold and Unsold PCs for Company B

Now, let's sum the Sold PCs and Unsold PCs for Company B over all six years.

• Total Sold PCs (Company B) = $22,500 + 19,200 + 48,000 + 37,200 + 52,000 + 40,000$
  • Total Sold PCs = $218,900$
• Total Unsold PCs (Company B) = $22,500 + 28,800 + 16,000 + 24,800 + 13,000 + 40,000$
  • Total Unsold PCs = $145,100$

Finding the Difference

Finally, we find the difference between the total number of PCs sold and the total number of unsold PCs for Company B.

Difference = Total Sold PCs - Total Unsold PCs

Difference = $218,900 - 145,100$

Difference = $73,800$

The difference between the total number of PCs sold and the total number of unsold PCs of Company B in all the six years together is 73,800.

Revision Table: Company B PC Data Analysis

Additional Information: Data Interpretation Basics

Data interpretation questions often require careful reading of tables or charts and performing calculations based on the data presented. Key steps usually involve:

• Understanding the units (e.g., thousands).
• Identifying the specific company or category required (here, Company B).
• Identifying the relevant years or period (here, 2014-2019).
• Calculating individual values (e.g., sold PCs per year).
• Aggregating values (e.g., total sold PCs over multiple years).
• Performing the final calculation requested (e.g., finding the difference).

Paying close attention to detail and performing calculations accurately are crucial for solving such problems correctly.