Let's calculate the total cost for each incentive.
Calculating cost using Incentive 1:
With Incentive 1, you can buy 3 eggs for $12.
To purchase 20 eggs, we can think of it as buying sets of 3. Here’s how many sets of 3 we can get and how many eggs remain:
- Number of full sets of 3 in 20: \( \frac{20}{3} = 6\) full sets (which gives 18 eggs)
- Number of leftover eggs: \( 20 - 18 = 2 \) eggs
Cost for 6 sets of 3:
- Cost for 6 sets: \( 6 \times 12 = 72 \)
Cost for the remaining 2 eggs:
- Cost for 2 eggs: \( 2 \times 5 = 10 \)
Total cost using Incentive 1:
- Total Cost = Cost for sets + Cost for remaining eggs
- Total Cost = \( 72 + 10 = 82 \)
Calculating cost using Incentive 2:
With Incentive 2, a 20% discount applies to the total cost without any incentive.
Cost without any discount:
- Total cost without discount = \( 20 \times 5 = 100 \)
Applying 20% discount:
- Discount amount = \( 0.20 \times 100 = 20 \)
- Total cost after discount = \( 100 - 20 = 80 \)
Comparing the two incentives:
- Total cost with Incentive 1 = $82
- Total cost with Incentive 2 = $80
Conclusion:
Incentive 2 offers a better discount.
The discount amount of this incentive is \( 20 \) dollars.
Final answer: Incentive 2 offers a better discount. The discount amount of this incentive is 20.00.