Problem 13

Explanation

Let's analyze the sales pattern for each type of veil to predict sales in the 5th week.

Square Veil Sales Pattern

Data: $12, 15, 21, 30$. Let's look at the differences between weeks:

• Week 1 to 2: $15 - 12 = 3$
• Week 2 to 3: $21 - 15 = 6$
• Week 3 to 4: $30 - 21 = 9$

The difference pattern is multiples of $3$ ($3, 6, 9$). So the next difference is $12$. Week 5 Prediction: $30 + 12 = 42$.

Bergo Veil Sales Pattern

Data: $14, 16, 18, 20$. The difference between weeks is constant at $+2$. Week 5 Prediction: $20 + 2 = 22$.

Pashmina Veil Sales Pattern

Data: $9, 14, 20, 27$. Let's look at the differences between weeks:

• Week 1 to 2: $14 - 9 = 5$
• Week 2 to 3: $20 - 14 = 6$
• Week 3 to 4: $27 - 20 = 7$

The difference pattern is sequential ($5, 6, 7$). So the next difference is $8$. Week 5 Prediction: $27 + 8 = 35$.

Statement Analysis

Let's verify each statement based on the prediction results:

• Bergo Sales: The sales prediction is $22$, not $24$.
• Best Selling Type: Square veils ($42$) are the best selling, not Pashmina ($35$) or Bergo ($22$).
• Pashmina vs Bergo: Pashmina sales ($35$) are higher than Bergo ($22$), not lower.
• Square Veil Sales: The sales prediction is $42$. This statement is Correct.

Therefore, the correct prediction is that square veil sales are $42$ pieces.