Optimization

Manufacturing tires Your company can manufacture x hundred grade A tires and y hundred grade B tires a day, where Your profit on a grade A tire is twice your profit on a grade B tire. What is the most profitable number of each kind to make?

Calculus notes for the week of 10/3/16 4.1 Maxima and Minima and 4.2 What Derivatives Tell Us 15 10 5 01 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 -5 -10 -15 f has a local maximum at c if f(c) > f(x) for all x sufficiently close to c. f has a local minimum at c if f(c) < f(x) for all x sufficiently close to c. We see that, if f is differentiable at a local...