## Optimization

### Optimization: Problems and Solutions

We will solve every Calculus Optimization problem using the same Problem Solving Strategy time and again. You can see an overview of that strategy here (link will open in a new tab).

We use that strategy to solve the problems below.

*V*cm$^3$ of liquid. (A typical can of soda, for example, has

*V*= 355 cm$^3$.) What dimensions will minimize the cost of metal to construct the can?

Click to view full Calculus solution to “Least expensive can.”

A poster must have a printed area of 320 cm$^2$. It will have top and bottom margins that are 5 cm each, and side margins that are 4 cm. What are the dimensions of the poster with the smallest total area?

Want access to

*all*of our Calculus problems and solutions? Buy full access now — it’s quick and easy!

### ► Do you need immediate help with a particular textbook problem?

Head over to our partners at Chegg and use code “CS5OFFBTS18” (exp. 11/30/2018) to get \$5 off your first month of Chegg Study,
and gain *immediate* access to step-by-step solutions to most textbook problems as well as answers to your specific questions from a math expert.

**Coupon Information**

Code: CS5OFFBTS18

Promotion: \$5 off your first month’s subscription.

Disclaimer: Chegg Study users receive \$5.00 discount off the first
month of a new Chegg Study subscription. Discount expires on 11/30/2018. Offer valid on a monthly subscription. Subscription can be cancelled at any time. Cannot be combined with any other
offer. Valid for one-time use only. Limit one coupon per person. No cash value.