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Understanding the cost per unit is the first step in many pricing strategies. It's essential to know how much each unit (in this case, each flashlight) costs before adding profit margins or other markups. To find the cost per unit, you simply divide the total cost by the number of units. For example, in the exercise, the total wholesale price is \$16.40\ for 24 flashlights. So, the cost per unit would be calculated as follows:

\[\text{Cost per unit} = \frac{\text{Total wholesale price}}{\text{Number of units}} = \frac{16.40}{24} \]

This gives us approximately \$0.6833\ per flashlight. By understanding the cost per unit, businesses can make informed decisions about pricing and profit.

Once you know the cost per unit, the next concept to understand is profit margin calculation. Profit margin is the percentage of profit a company wants to make on each unit sold. In the exercise, the company aims to make a \(45\%\) profit on each flashlight. The formula to calculate the profit per unit is:

\[\text{Profit per unit} = \text{Cost per unit} \times \text{Desired profit percentage} \]

For our example, it looks like this:

\[\text{Profit per unit} = 0.6833 \times 0.45 \]

This results in approximately \$0.3075\ profit per flashlight.

To find the retail price, add the profit per unit to the cost per unit:

\[\text{Retail price} = \text{Cost per unit} + \text{Profit per unit} \]

Substituting the values, we get:

\[\text{Retail price} = 0.6833 + 0.3075 = 0.9908 \] Understanding profit margins helps businesses set prices that not only cover costs but also ensure a desirable level of profitability.

Rounding numbers is a math skill used frequently in pricing and financial calculations. It's important because it simplifies figures, making them easier to understand and communicate. In retail pricing, we typically round to the nearest hundredth (two decimal places) because this corresponds to cents.

In the exercise, the calculated retail price per flashlight is approximately \$0.9908\. Rounding to the nearest hundredth involves looking at the thousandth place (the third decimal place). If this digit is 5 or higher, we round up. If it's 4 or lower, we round down:

\[\text{0.9908} \] becomes \[\text{0.99} \].

This final rounding step gives a neat and standard-looking price, which is easier for customers to process and understand. Accurate rounding ensures that calculations are both precise and practical for real-world applications.