A manufacturing company plans to progressively increase its production capacity over the next few quarters. (A quarter is a period of three months.) The increase in production can be modeled by the equation y = x6 - 25x4 + 199x2, where x is the number of quarters. What is the minimum duration required for the company to reach a production capacity of 4,975 units?

Question

Mathematics

Melody Padilla

21 July, 07:29

A manufacturing company plans to progressively increase its production capacity over the next few quarters. (A quarter is a period of three months.) The increase in production can be modeled by the equation y = x6 - 25x4 + 199x2, where x is the number of quarters. What is the minimum duration required for the company to reach a production capacity of 4,975 units?

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Patrick Casey · Answer 1

We are asked in the problem to determine the number of quarters that are needed to complete 4975 units given the equation y = x6 - 25x4 + 199x2 where y is the number of manufactured units and x is the number of quarters needed.

substituting y = 4975, we find x. x is readily found using calculator.