Question

# 33, 43

3.3 Optimization 201 ora- 43. GENERAL: Fences A farmer wants to make three iden- , and n is hich oun uld rofit. tical rectangular enclosures along a straight river, as in the diagram shown below. If he has 1200 yards of fence, and if the sides along the river need no fence, what should be the dimensions of each enclosure if the total area is to be maximized? 77 81 ates is the week. uce maxi- river ent- trucks GFNERAL: Area What is the area of the largest rectarn r is 100 feet?

Answer 1

93 length op eech side pexpendiculen o ine ive Given Anec oedn neclan dA Fon anea to be aximum, n = 50 yards 1200-4x150 the -huee steckengulan endosunes ore identi so, dimenson each enclosune is 200 by 150

uki devve Uth es pect to t dv(t) = 240t . - 40 dt 0A Value tobe maximum O -V2 dt 240 40 tVa imber Porest is moximized plen 3e Yecs at Valuue 4g0 36 Ox 36 1440