Calculating Average Cost per Item Sold at a Local Ice Cream Shop

QUESTION

A local ice cream specialty shop recorded sales for the hottest day in July. Now they want to know the average cost of the items sold that day. Using the data below, find the average cost per item. Round to the nearest cent. Ice Cream Treats Percent Sold Cost Cones 45% $3 Sundaes 23% $7 Milkshakes 32% $4

ANSWER

Calculating Average Cost per Item Sold at a Local Ice Cream Shop

Introduction

In the scorching heat of July, there’s nothing quite like indulging in a delightful ice cream treat to beat the heat. For a local ice cream specialty shop, recording sales on the hottest day of the month is crucial for various reasons, including assessing profitability and planning for future operations. One essential metric to determine in this scenario is the average cost per item sold, which helps in understanding the shop’s revenue and customer preferences. In this essay, we will delve into the data provided by the ice cream shop and calculate the average cost per item sold, rounding it to the nearest cent.

Data Analysis

The data provided by the ice cream shop consists of three types of ice cream treats: Cones, Sundaes, and Milkshakes. For each treat, we have information on the percentage sold and its corresponding cost. Let’s break down the data:

Cones:

Percent Sold: 45%

Cost: $3 per cone

Sundaes:

Percent Sold: 23%

Cost: $7 per sundae

Milkshakes:

Percent Sold: 32%

Cost: $4 per milkshake

Calculating the Weighted Average Cost

To find the average cost per item sold, we need to consider the proportion of each treat sold and its respective cost. We can calculate this by multiplying the percentage sold by the cost for each treat and then summing these values.

Average Cost = (Cones % Sold * Cones Cost) + (Sundaes % Sold * Sundaes Cost) + (Milkshakes % Sold * Milkshakes Cost)

Now, let’s perform the calculations:

Average Cost = (45% * $3) + (23% * $7) + (32% * $4)

Average Cost = ($1.35) + ($1.61) + ($1.28)

Average Cost = $4.24

Rounding to the Nearest Cent: Since we want to round the average cost per item sold to the nearest cent, we find that the average cost is approximately $4.24. When rounded to the nearest cent, it becomes $4.24.

Conclusion

In conclusion, on the hottest day in July, the local ice cream specialty shop had an average cost of $4.24 per ice cream treat sold. This calculation takes into account the percentage of each type of treat sold and their respective costs. Knowing the average cost per item sold is essential for businesses to understand their financial performance and make informed decisions regarding pricing, inventory management, and overall profitability. Customers looking for a cool and satisfying treat can rest assured that the shop offers a variety of options at an affordable average cost per item.

 

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