Lesson20_-_Optimization_ws-sol

# Lesson20_-_Optimization_ws-sol - Solutions to Worksheet for...

This preview shows pages 1–3. Sign up to view the full content.

Solutions to Worksheet for Section 4.5 Optimization Problems V63.0121, Calculus I Spring 2010 1. An advertisement consists of a rectangular printed region plus 1 in margins on the sides and 2 in margins on the top and bottom. If the area of the printed region is to be 92 in 2 , ﬁnd the dimensions of the printed region and overall advertisement that minimize the total area. Solution. The objective is to minimize the total area while the printed area is ﬁxed. Lorem ipsum dolor sit amet, consectetur adipisicing elit, sed do eiusmod tempor incididunt ut labore et dolore magna aliqua. Ut enim ad minim veniam, quis nostrud exercitation ullamco laboris nisi ut aliquip ex ea commodo consequat. Duis aute irure dolor in reprehenderit in voluptate velit esse cillum dolore eu 2 cm 2 cm 1 cm x y Let the dimensions of the printed region be x and y ; then the printed area is P = xy 92 while the total area is A = ( x + 2)( y + 4). From the P equation we can isolate y = 92 /x and substitute it into the A equation to get A ( x ) = ( x + 2) ± 92 x + 4 ² FOIL = 92 + 4 x + 184 x + 8 = 100 + 4 x + 184 x 1

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
The domain of A is (0 , ).
This is the end of the preview. Sign up to access the rest of the document.

## This note was uploaded on 07/19/2010 for the course MATHEMATIC V63.0121 taught by Professor Leingang during the Spring '09 term at NYU.

### Page1 / 4

Lesson20_-_Optimization_ws-sol - Solutions to Worksheet for...

This preview shows document pages 1 - 3. Sign up to view the full document.

View Full Document
Ask a homework question - tutors are online