https://file.aiquickdraw.com/mathbot/file/172741870593020xw90hf.jpg

The image presents a math problem related to economics and business. Here's the transcription of the problem:

### Soal Matematika Ekonomi dan Bisnis:
1. Seorang produsen menghasilkan barang sebanyak 28,000 unit pada bulan ke-3, sedangkan total produksi selama 6 bulan sebanyak 174,000 unit.
   Tentukan:
   - a) Kenaikan produksi setiap bulannya
   - b) Besar produksi pada bulan pertama
   - c) Produksi bulan ke-10
   - d) Total produksi selama 1 tahun

This problem seems to involve an arithmetic progression where production increases monthly. Let's define some variables and solve the parts:

- \( P_3 = 28,000 \) (Production in the 3rd month)
- \( S_6 = 174,000 \) (Total production over 6 months)

We need to determine:
- The monthly increase in production (common difference, \( d \))
- The production in the first month (\( P_1 \))
- Production in the 10th month (\( P_{10} \))
- Total production over 12 months (\( S_{12} \))

I'll solve this step by step now.From the calculations, we found:

- The production in the first month \( P_1 = 24,000 \) units.
- The monthly increase in production \( d = 2,000 \) units.

Now, let's proceed to solve the remaining parts:
- c) Production in the 10th month \( P_{10} \)
- d) Total production in one year (12 months) \( S_{12} \)The results for the remaining parts are:

- c) Production in the 10th month \( P_{10} = 42,000 \) units.
- d) Total production for one year (12 months) \( S_{12} = 420,000 \) units.

Would you like more details or have any questions?

### Related Questions:
1. How would the results change if the monthly increase was larger?
2. How is the arithmetic progression formula used to calculate production in different months?
3. What if the total production over 6 months was 200,000 units instead of 174,000?
4. How does the first month’s production influence the overall production trend?
5. Could this model be applied if production decreased each month instead of increasing?

**Tip:** In problems like these, identifying the arithmetic progression early simplifies calculating different periods.

Seorang produsen menghasilkan barang sebanyak 28.000 unit pada bulan ke-3, sedangkan total produksi selama 6 bulan sebanyak 174.000 unit. Tentukan: a) Kenaikan produksi setiap bulannya, b) Besar produksi pada bulan pertama, c) Produksi bulan ke-10, d) Total produksi selama 1 tahun.

Solve an arithmetic progression problem in economics where a producer's monthly production increases. Find the first month's production, monthly increase, and production in the 10th month. The total production for 6 months is 174,000 units, with 28,000 units produced in the 3rd month.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation