To determine the quantities and timeline for LNG production, we need to analyze the given data and the growth rate of 1.7% per month.
1. Understanding the Data:
- January: 88,280 tons
- February: 89,781 tons
- March: 91,307 tons
The given growth rate is 1.7% per month.
2. Calculating Production for April:
Starting from the March production of 91,307 tons, we can calculate the production for April by increasing March's production by 1.7%.
[tex]\[
\text{April production} = 91,307 \times (1 + 0.017) \approx 92,859.22 \text{ tons}
\][/tex]
3. Calculating Production for May:
Similarly, for May, we start from the April production of approximately 92,859.22 tons and increase by 1.7%:
[tex]\[
\text{May production} = 92,859.22 \times (1 + 0.017) \approx 94,437.83 \text{ tons}
\][/tex]
4. Determining the Month for Approximately 104,489 tons:
Starting from March and following the same growth pattern:
- April: [tex]\( 92,859.22 \text{ tons} \)[/tex]
- May: [tex]\( 94,437.83 \text{ tons} \)[/tex]
- Continuing this process month by month, we iteratively apply a 1.7% increase until we reach a production level of approximately 104,489 tons.
---
After calculating the number of months it would take, we find that this production level is achieved in the 11th month (counting from January), which corresponds to November.
So, the answers are:
- May production: Approximately 94,437.83 tons
- Month for 104,489 tons: November
Therefore, approximately 94,437.83 tons of LNG will be produced in May, and approximately 104,489 tons will be produced in November.
