Final answer:
The total monthly redemption cost for Mazzio's in the most recent month is $307,000, which includes the face value of the coupons redeemed, production, distribution, handling fees, and costs associated with misredemptions.
Step-by-step explanation:
The total monthly redemption cost for Mazzio's coupons for the most recent month can be calculated by summing up several expenses: the face value of the coupons redeemed, production costs, distribution costs, handling fees, and misredemption costs. Since the redemption rate is 2% for 12 million coupons, we have 240,000 coupons that Jackson predicts would be redeemed. However, actual redemptions are at 200,000. Taking into account the 10% misredemption rate, an additional 20,000 (10% of 200,000) must be considered as cost without physical coupon redemption. Therefore, we perform the following calculations:
- Face value redemption cost (including misredemptions): (200,000 + 20,000) × $1.00 = $220,000
- Production cost: $2,000
- Distribution cost: $75,000
- Handling/processing fee: 200,000 × $0.05 = $10,000
Adding these together gives us the total costs:
220,000 + 2,000 + 75,000 + 10,000 = $307,000
This figure represents the total cost associated with the coupon redemptions for that month.