Final answer:
David's total commission for $82,000 in sales is $4,420, calculated by applying the respective graduated commission rates to his sales in each range.
Step-by-step explanation:
David's total commission based on his sales of $82,000 can be calculated by summing up the commissions from each segment of the graduated commission scale. He would receive 2% on the first $20,000, 6% on the next $50,000 (from $20,000 to $70,000), and finally, 8.5% on the remaining $12,000 (from $70,000 to $82,000).
Here's the breakdown of the calculations:
- Commission for first $20,000: $20,000 * 2% = $400
- Commission for the next $50,000: $50,000 * 6% = $3,000
- Commission for the remaining $12,000: $12,000 * 8.5% = $1,020
Adding these together gives us David's total commission:
$400 + $3,000 + $1,020 = $4,420.
Therefore, David's commission for sales of $82,000 is $4,420.