Question
Sanji buys a lot of health food from a company that charges 3%on each item for shipping. If he purchased a premium membership for $45 a year the shipping would be free
Answers
GPT-4o mini
To help Sanji evaluate whether purchasing a premium membership is worth it, we can set up a simple comparison of costs based on his food purchases.
1. **Calculate Shipping Costs Without Membership:**
- If Sanji buys items worth \( X \) dollars, the shipping cost without the premium membership would be:
\[
\text{Shipping Cost} = 0.03 \times X
\]
2. **Cost with Membership:**
- With the premium membership, Sanji pays a flat yearly fee of $45, and the shipping is free.
3. **Determine the Break-Even Point:**
- We need to find out when the shipping costs without membership equal the membership cost:
\[
0.03 \times X = 45
\]
- Solving for \( X \):
\[
X = \frac{45}{0.03} = 1500
\]
This means that if Sanji spends more than $1500 on health food in a year, it would be more cost-effective for him to buy the premium membership. If he spends less than $1500, he is better off without the membership.
1. **Calculate Shipping Costs Without Membership:**
- If Sanji buys items worth \( X \) dollars, the shipping cost without the premium membership would be:
\[
\text{Shipping Cost} = 0.03 \times X
\]
2. **Cost with Membership:**
- With the premium membership, Sanji pays a flat yearly fee of $45, and the shipping is free.
3. **Determine the Break-Even Point:**
- We need to find out when the shipping costs without membership equal the membership cost:
\[
0.03 \times X = 45
\]
- Solving for \( X \):
\[
X = \frac{45}{0.03} = 1500
\]
This means that if Sanji spends more than $1500 on health food in a year, it would be more cost-effective for him to buy the premium membership. If he spends less than $1500, he is better off without the membership.