Taterville is served by four store chains that sell snack chips. Spud Wilson has collected the following sales information for the chains and the various chip brands that are stocked.
 
 	Sam's	Frank's	Kate	Modern
 	Chain Store	Discount	Kaufhaus	Superstore
Number of Stores	1	1	1	3
Sales:	 	 	 	 
All Goods	$100,000	$214,000	$50,000	$500,000
Idaho Fried Chips	$1,000	$2,000	$300	$5,500
Lei's Chips	 	$1,000	$500	$6,000
DoorRightos	$700	 	 	$1,200
Private Label Chips	 	 	$600	$1,000
Stock-Keeping-Units (SKUs) Carried: 	 	 	 	 
All Goods	12,000	8,000	5,000	54,000
Idaho Fried Chips	2	2	1	3
Lei's Chips	0	4	1	4
DoorRightos	1	0	0	3
Private Label Chips	0	0	1	2
Question 6
What is Lei's PCV% distribution?

The **PCV% (Product Category Volume Percentage)** is a measure of the sales for a specific product compared to the total sales for all products within the market. To calculate Lei's PCV% distribution, we need to determine Lei's sales as a proportion of the total sales across all chains.

### Steps:
1. **Identify Lei's Sales**:
   - Sam's Discount: $0 (Lei's Chips are not sold here)
   - Frank's Kaufhaus: $1,000
   - Kate Superstore: $500
   - Modern: $6,000

   Total Lei's Sales = $0 + $1,000 + $500 + $6,000 = **$7,500**

2. **Identify Total Market Sales** (All Goods Sales):
   - Sam's Discount: $100,000
   - Frank's Kaufhaus: $214,000
   - Kate Superstore: $50,000
   - Modern: $500,000

   Total Market Sales = $100,000 + $214,000 + $50,000 + $500,000 = **$864,000**

3. **Calculate PCV%**:
   - Formula: $ \text{PCV\%} = \left( \frac{\text{Lei's Total Sales}}{\text{Total Market Sales}} \right) \times 100 $

   Substituting the values:

   \[
   \text{PCV\%} = \left( \frac{7,500}{864,000} \right) \times 100 \approx 0.868\%
   \]

Thus, the **PCV% distribution for Lei's Chips** is approximately **0.868%**.

---

Would you like further details or have any questions?

Here are five related questions to expand on this:
1. What is the PCV% for Idaho Fried Chips?
2. How does the number of SKUs impact the PCV%?
3. How can Sam's Discount store improve its PCV% for Lei's Chips?
4. How does the market share of Modern compare to other stores?
5. What strategies could Modern use to boost Lei's Chips sales?

**Tip**: PCV% is useful for understanding market penetration of a specific product category within a broader market, helping retailers optimize their inventory and marketing strategies.

Learn how to calculate Lei's Product Category Volume (PCV%) distribution using real sales data from different chains in Taterville. This solution involves calculating percentage market share and analyzing product penetration within the market. Suitable for students in Grades 9-12.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation