4.7 Applied Optimization.pdf - APPLIED EX we want tomake a rectangular PM Mt OPTIMIZATION Ex wewanttobuild an8km2birdsanctuary smallerpens asbelow L 1 w

# 4.7 Applied Optimization.pdf - APPLIED EX we want tomake a...

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APPLIED OPTIMIZATION EX we want to make a rectangular Ex wewant to build an 8km2 bird sanctuary PM Mt smaller pens as below 1 L y w 1111 n we have 300ft offencing What's the smallestamount of fencing needed whatISthe largest possible area along the3non riversides Of the total pen 1 find an objective tune wewantto maximize 1 find objective function wewanttomimmerefencing area A WL P 2x y 2 qetourfunc.in terms of variable observewe have 2 Rewrite objective tune witnivariousee observe 3ooftoffencing 8km2 300 6 iv 2L 8 Xy j w Acws wCiso 3W T TFYxk2xtx ox 8 ourdomain c G so y 3 Optimize 3 Optimize ourfuric onitsdomain pic y z 8g doesn't exist atxosnoi.in ACW wciso3W 0,50 the domain 0 2 8 150W 3W 2 A w _150 6W I 2 8 2 it Fencing is minimized

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Unformatted text preview: 150 6W 2 2 8 When x z pass 2 2 8 2 8km 150 w a u 2 4 25 W y y 1 2 41 p to 4 find extrema X 2 xt2 o El I S o Z Acw w 150 3W K 2 y O 0450 301 P4 z 8,25 25450 3451 25453 1875 P 101 2 18 soft 50 50450 3.50 H.TT 3mofwwe 12km offence maximize 1 available y 3 x a 2 2 y b 3 2 1 24 3 24 24 2 x y 3q x x t o A 1 pouty c 2 212 X 2 12 2 1 4 AlN 2Xt2l3 x 12 2x Y d 2,0 213 03 3 3 hg 0p fw 216 x y 04312 3 3 2 1 216 x 2 11 6 4 Aa 2 02 2 1 203 12201 01212 6...
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