A salesperson for a medical supplies company is paid a...

A salesperson for a medical supplies company is paid a commission of $9 \%$ for orders less than $\$ 8,000 .$ For orders exceeding $\$ 8,000$ she receives an additional $2 \%$ in commission on the total amount. What is her commission on a sale of $\$ 14,600 ?$

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Key Concepts

Commission Calculation

This concept involves determining the amount earned as a percentage of sales. It is a common method for incentivizing performance in sales roles, where the earned commission is directly tied to the revenue generated by a sale. The calculation usually involves multiplying the total sales amount by the commission rate to determine the commission payout.

Percentage Calculations

This involves the use of percentages to derive a value relative to a given total. In many business and financial scenarios, including commission calculations, percentage expressions simplify the representation of proportional relationships, facilitating the computation of specific portions of a whole.

Tiered or Piecewise Functions

This concept is used when a function or rule changes based on different conditions or ranges. In commission calculations, tiered or piecewise functions are applied when different commission rates are used depending on the sales volume or order size, meaning that the formula for calculating the commission can change once a specific threshold is reached.

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