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A manufacturer of laptop produced 6000 units in 3rd year and 7000units in 7 th year assuming that the production increases uniformly over a fixed number every year find the production the first year and production in the fifth year and the total production in 7 years

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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.

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