Amanufacturing 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?

a)4 quarters
b)5 quarters
c)6 quarters
d)7 quarters