Final answer:
The production in the first year was 3000 units, the production in the fifth year will be 12000 units, and the total production in 7 years was 102,000 units.
Step-by-step explanation:
To find the production in the first year, we need to determine the rate at which the production increases each year.
Let's assume that the production increases by a fixed number, denoted as 'x', every year.
Based on the given information, we can set up the following equations:
- 6000 = x * (3 - 1)
- 7000 = x * (7 - 1)
Solving these equations, we find that x = 3000.
Therefore, the production in the first year is 3000 units.
To find the production in the fifth year, we can use the formula:
Production in a particular year = Production in the first year + (Number of years - 1) * Rate of increase
So, the production in the fifth year would be: 3000 + (5 - 1) * 3000 = 12000 units.
To find the total production in 7 years, we can use the formula:
Total production = Production in the first year + (Number of years - 1) * Rate of increase * Number of years
So, the total production in 7 years would be: 3000 + (7 - 1) * 3000 * 7 = 102,000 units.