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Gilbert Strang, Calculus, 3rd edition (Wellesley-Cambridge Press; MIT OpenCourseWare RES.18-001) §3.2 Maximum and Minimum Problems, #26 · Calculus · Optimization

(b) Find the cheapest driving speed

A limousine gets $(120 - 2 v) /5$ miles per gallon. The chauffeur costs $\$ 10/\text{hour} $, t h e g a scos t s$ $1/\text{gallon}$.

(a) Find the cost per mile at speed $v$ .

(b) Find the cheapest driving speed.

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Gilbert Strang, Calculus, 3rd edition (Wellesley-Cambridge Press; MIT OpenCourseWare RES.18-001) · §3.2 Maximum and Minimum Problems, #26

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