MediumOptimization

Gilbert Strang, Calculus, 3rd edition (Wellesley-Cambridge Press; MIT OpenCourseWare RES.18-001) §3.2 Maximum and Minimum Problems, #30 · Calculus · Optimization

In 31–34, we make and sell … pizzas

If the distance function is $f (t) = (1 + 3 t) / (1 + 3 t^{2})$ , when does the forward motion end? How far have you traveled? Extra credit: Graph $f (t)$ and $df / d t$ .

In 31–34, we make and sell $x$ pizzas. The income is $R (x) = a x + b x^{2}$ and the cost is $C (x) = c + d x + e x^{2}$ .

~8 minWritten answer · check your work with Lemma

Gilbert Strang, Calculus, 3rd edition (Wellesley-Cambridge Press; MIT OpenCourseWare RES.18-001) · §3.2 Maximum and Minimum Problems, #30

Stuck? A gentle nudge

No hints for this one.

Something off?

Workspace

Your working

Check your full solution

Attach photos of your pages (up to 3) or one PDF — or check what you typed above. Lemma reads the work and verifies the reasoning, not just the answer.

Your first check today doesn't need an account.

Your photos and PDFs are read once and not stored — only the transcription is kept.