A pizza company is experimenting with a new yeast, called KABOOM. By adding x grams of KABOOM to each kilogram of their dough, the rise of the dough can be increased by a factor of f(x), where f (x) = 2x^3 ? 9x^2 + 12x + 3. However, if they add more than 2.4 gram per kilogram, then the dough becomes inedible.

a) Determine the stationary points of f(x) on (??,?).

b) Classify each of the stationary points determined in a): demonstrate this in two ways, firstly, by using the second derivative of f, secondly, by looking at the signs of f?(x).

c) What's the optimal value for x such that the dough remains edible and has the best rise?

A pizza company is experimenting with a new yeast, called KABOOM. By adding c grams of KABOOM to each kilogram of their dough, the rise of the dough can be increased by a factor of f(a), where f(a) = 2x3 - 9r2 + 12x + 3. However, if they add more than 2.4gram per kilogram, then the dough becomes inedible. a) Determine the stationary points of f (r) on (-co, co). b) Classify each of the stationary points determined in a): demonstrate this in two ways, firstly, by using the second derivative of f, secondly, by looking at the signs of f'(x). c) What's the optimal value for x such that the dough remains edible and has the best rise