Let's start solving these orders with the 6% discount applied on amounts over $500.

Order One:

• 26 items at $72.80 each
• 58 items at $67.40 each
• 137 items at $17.50 each

Step 1: Calculate the total price for each group:

• 26 items at $72.80:
  $26 \times 72.80 = 1,892.80$

• 58 items at $67.40:
  $58 \times 67.40 = 3,913.20$

• 137 items at $17.50:
  $137 \times 17.50 = 2,397.50$

Step 2: Add them up to get the total price:

$1,892.80 + 3,913.20 + 2,397.50 = 8,203.50$

Since the total is over $500, apply the 6% discount:

Step 3: Calculate the discount:

$6\% \text{ of } 8,203.50 = 0.06 \times 8,203.50 = 492.21$

Step 4: Subtract the discount from the total:

$8,203.50 - 492.21 = 7,711.29$

Order Two:

• 1 item at $72.80
• 2 items at $67.40 each
• 13 items at $17.50 each

Step 1: Calculate the total price for each group:

• 1 item at $72.80:
  $1 \times 72.80 = 72.80$

• 2 items at $67.40:
  $2 \times 67.40 = 134.80$

• 13 items at $17.50:
  $13 \times 17.50 = 227.50$

Step 2: Add them up to get the total price:

$72.80 + 134.80 + 227.50 = 435.10$

Since the total is under $500, no discount is applied.

Final price for Order Two: $435.10

Order Three:

• 3 items at $72.80 each
• 5 items at $67.40 each
• 21 items at $17.50 each

Step 1: Calculate the total price for each group:

• 3 items at $72.80:
  $3 \times 72.80 = 218.40$

• 5 items at $67.40:
  $5 \times 67.40 = 337.00$

• 21 items at $17.50:
  $21 \times 17.50 = 367.50$

Step 2: Add them up to get the total price:

$218.40 + 337.00 + 367.50 = 922.90$

Since the total is over $500, apply the 6% discount:

Step 3: Calculate the discount:

$6\% \text{ of } 922.90 = 0.06 \times 922.90 = 55.37$

Step 4: Subtract the discount from the total:

$922.90 - 55.37 = 867.53$

Final Results:

• Order One: $7,711.29
• Order Two: $435.10
• Order Three: $867.53

Let me know if you'd like further clarification or details!

Here are some follow-up questions for you:

1. How would the final prices change if the discount were applied only to the total order of more than $1000?
2. If Order Two added 10 more items of $17.50 each, how would the final price be affected?
3. What would happen if the prices of all items in Order One were reduced by 10% before the discount?
4. How could the company offer a higher discount rate to incentivize bulk purchases?
5. What would the total cost for Order One be if the company only offered a 4% discount?

Tip: Always double-check the eligibility for discounts, and make sure to apply them only to the total amount after tax if necessary.