During a month's time, an automobile sales person receives a 6% commission on the first $5000 in sales, a 7% commission on the next $5000 sales, 8% commission on anything over $10,000. What is her commission for $36,000 in sales?

Answer: The commission for $36000 in sales is $2,730.

Solution: To calculate the commission for $36,000 in sales, we can break down the sales amount into different tiers based on the commission rates.

Step 1: Calculate the commission for the first $5,000 in sales at a 6% commission rate.

Commission for the first 5,000 = 5,000 * 0.06

Step 2: Calculate the commission for the next $5,000 in sales at a 7% commission rate.

Commission for the next 5,000 = 5,000 * 0.07

Step 3: Calculate the commission for the sales amount over $10,000 at an 8% commission rate.

Sales amount beyond 10,000 = 36,000 - $10,000

Commission for the sales beyond 10,000 = (Sales amount beyond 10,000) * 0.08

Step 4: Calculate the total commission by adding the commissions from each tier.

Total commission = Commission for the first 5,000 + Commission for the next 5,000 + Commission for the sales beyond $10,000

Now let's plug in the values:

Total commission = ( 5,000 * 0.06) + ( 5,000 * 0.07) + (( 36,000 - 10,000) * 0.08)

Total commission = 300 + 350 + ($26,000 * 0.08)

Total commission = 300 + 350 + $2,080
Total commission = 2730