01_notes_20101018mon_mac2311-82489_f10

# 01_notes_20101018mon_mac2311-82489_f10 - OALC I MAC 23 i'l~...

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Unformatted text preview: OALC I // MAC 23 i'l~ 82489111117” ’10 -——- Mon. l0.- l8; l0 §4ll Example A drilling rig 12 miles offshore is to be connected by pipe to a refinery onshore, 20 miles straight down the coast from the rig. If undenivater pipe costs \$500,000 per mile and land based pipe costs \$300,000 per mile, what combination of the two will give the least expensive 99.0._.0§£i9£? ' So"? [ El SkeJrcla. Let x be “518 distance 1!! 0.4 miles» alumna on ﬁne. skc-l'da. R 1'5 {516 lenjﬁﬁ of the marine pipe Ina-c quot P1 3 ﬁn: [EVIth o-F ‘f‘ﬂc shoreline FlPellnﬂ Jam A , 2 [6529? EB] Lchgﬂ calcmahons; Pi = ./11+I22 and P2: 29—01 I El CD‘SJt FUMC‘HOH‘: i .91.“. ﬂ ‘nh. m 77:.- C(x)= 500000 Vila-FEM + 300000 (20—13 or C(x) : Boo 000(124-[41-01'Ia + 6000: Geo — 300 0003C [a Reﬁo‘ired '- Minimize C(36) , IE] AC6“ = ELFZM’Q(12+M4)"VZ-2x —- Bamboo d2: @ 3% \$030: 0 A; soldc :Fof 3c 33 ._ 250 000 (12+ [443“!!2,2y_ __ "300 000 = 0 59900971 : 3006300 “4.5959 (f4!‘l4)z 012+ :44)”: Z 5'00 000 _ (12+ [4‘9' 300 0-90 “ 9c Mow @- y 2. {I i : 12+ [44 , - 2522 : 912+ I296 -. [6 x2: {2% DJ 9 *2?” J ‘ ’ "'W“‘ baa “if =5 ms 1:5 :— --—~-. 136 Pr.— ./3r__+ {44- = fig? m; anal P2: 29 -9 C(38) (l5) +6300 900) (H) z ﬁlgfo coo) :008>(too'ooo>: [09 ooooo 5r M Thu}; #IOJQOOJ 000 {its C95? (330 ﬁg Coh—ﬁﬁllrrﬂ‘l'ion. E (Invader C(o.) : 500 000 ((1) + 300 000 (20) z (60 + 6030000005 : 12.000000 : «2900;000— Also C(29)» if H) 66!,905.79' Thus {1511: Cohﬁgurahbn r}, is “04-5; maximum, Tﬁereﬁare“. @ A Fr‘peﬁne configuraﬂon put ;5 mm marine pipelahe dﬂﬁdojaoa ,oer WIN: and If miftis (0F anshare ﬁfe/me at" \$360,000 per Wife WE” Minimize 134*? CDSF of“ ﬁts Fr‘FefrIq-c . Tim mr'nma! 6937" Will be 355 (018065000 . ""_‘ o to ca 4t M 2 1:: {SM 5 @H P2?“ é 4‘2? CALC o § 4‘ :- \ﬂ'j' add ‘ M = i 23*430cld ’ j For) - ‘ g IE?- "5 a ‘5!“564 AIM! 990116124— W-m I A ’ infervnl 934 @ j; :3 abnﬁﬁléui I. m i: féwxrsh .3: 91°: (4.5)) ﬁr Mr 4 I 92\$ @ 90m) f. 96b) 71495 ~ in them £1554}. [3+ (“5+ “m *madbe ma!ij 46 e (4,») I .S-t' 33’ch = o HEW—"H ‘31 MW '3 69%. an I: f4.ij J @f’mu‘ﬁ Iva I°=(4Jb) We gcais W 79. Walﬁ) gawmo - ‘ , 8(63:§(b) WM }(b)-Ff4) (Iva) l‘ g ' , #Ma 20(2) _;(9— _ W. A ox: ﬁ’EgH f’fc) -— ML 4‘.- ...
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01_notes_20101018mon_mac2311-82489_f10 - OALC I MAC 23 i'l~...

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