. The trend equation fitted to a series of sales data is given by Y = 3200 * 400x (origin at 2005, x unit = 1 year, y = no: of units sold yearly). The company has the production capacity of 7200 units in a year. Find by what year will the company's expected sales have equated its present production capacity assuming that trend will continue as before.?

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. The trend equation fitted to a series of sales data is given by Y = ...

Trend Equation:
The trend equation given is Y = 3200 - 400x, where Y represents the number of units sold yearly and x represents the number of years since 2005.

Production Capacity:
The production capacity of the company is 7200 units in a year.

Equating Expected Sales to Production Capacity:
To find the year when the company's expected sales will equate its present production capacity, we need to set the trend equation equal to the production capacity and solve for x.

3200 - 400x = 7200

Solving the Equation:
To solve the equation, we can rearrange it to isolate x:

400x = 3200 - 7200
400x = -4000
x = -4000/400
x = -10

Interpretation of the Solution:
The negative value of x indicates that the expected sales will equate the production capacity 10 years before the reference year of 2005.

Calculating the Year:
To find the year, we need to subtract x from the reference year:

Year = 2005 - x
Year = 2005 - (-10)
Year = 2015

Conclusion:
According to the trend equation, the company's expected sales will equate its present production capacity in the year 2015, assuming that the trend will continue as before. However, it is important to note that the trend equation is based on historical sales data, and future sales may be influenced by various factors that can deviate from the established trend. Therefore, it is recommended to consider other factors and perform regular forecasting to make accurate sales predictions.

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. The trend equation fitted to a series of sales data is given by Y = 3200 * 400x (origin at 2005, x unit = 1 year, y = no: of units sold yearly). The company has the production capacity of 7200 units in a year. Find by what year will the company's expected sales have equated its present production capacity assuming that trend will continue as before.? for CAT 2025 is part of CAT preparation. The Question and answers have been prepared according to the CAT exam syllabus. Information about . The trend equation fitted to a series of sales data is given by Y = 3200 * 400x (origin at 2005, x unit = 1 year, y = no: of units sold yearly). The company has the production capacity of 7200 units in a year. Find by what year will the company's expected sales have equated its present production capacity assuming that trend will continue as before.? covers all topics & solutions for CAT 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for . The trend equation fitted to a series of sales data is given by Y = 3200 * 400x (origin at 2005, x unit = 1 year, y = no: of units sold yearly). The company has the production capacity of 7200 units in a year. Find by what year will the company's expected sales have equated its present production capacity assuming that trend will continue as before.?.

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