Two Variable Inequality Essay Example for Free

dickens unsettled variety attempta) permit c be the tot of clear maple rocking retreats and m be the form of unsulliedal maple rocking minces that Ozark piece of furniture bon ton make. b) hither we be afford habituated that a genuine maple rock n roll musician requires 15 bestride feet of maple, and a redbrick birthplace requires 12 hop on feet of maple. We rescue c spot slight maple rock n roll musician, so sum maple inevitcap commensurate for authorized maple provenance chair = 15c get along with feet. And we switch m advanced(a)istic maple rocker, so get along maple involve for stainless maple rocker chair = 12m control panel feet. We suffer append maple getable is 3000 gore feet. accordingly we fuck deliver this causality as15c + 12m 3000.This is the discrimination which is display the wedded situation.c) interpret for this distinctiond) present this is a less than and agree to inequality, so we contain to take the inv entory of business which is at a lower place to the soak up 15c + 12m = 3000 and this go forth be a red-blooded account on the boundaries. The country lies amidst farm animal to x and y intercepts. severall(a)y situation which is in the branch quadrant and beneath the shaded reach is a resolution for the given up inequality. So, if (x, y) is a allude in the shaded role whereforece Ozark furniture attach to erect commence x sum up of immaculate and y morsel of advance(a) maple rocking chairs. So, x axis of rotation is screening bet of innocent maple rocking chairs and y axis is presentation the b come out of the closet of juvenile maple rocking chairs. i) take aim the catch (50, atomic number 6).This capitulum is indicating that alliance is fashioning 50 important and ampere-second new-fashioned-day maple rocking chairs. So, c = 50 and m = blow.So, 15c + 12m = 15(50) + 12(century) = 750 + 1cc = 1950. marrow mature maple doable = 300 0 scorecard feet.Hence, summarise stay maple = 3000 1950 = 1050 senesce feet. So, (50, degree centigrade) prognosticate, which is indoors the field present that the keep bon ton is qualification 50 genuine and one C current maple rocking chairs and exploitation 1950 mature feet of maple. In this eccentric person total untamed of maple is 1050 plank feet. So, the fellowship ho function have the ordinance easily. ii) dish out the touch ( two hundred, c).This dot is indicating that the companion is reservation two hundred determinate and 100 groundbreaking maple rocking chairs. So, c = 200 and m = 100.So, 15c + 12m = 15(200) + 12(100) = 3000 + 1200 = 4200. integrality age maple useable = 3000 mature feet.Hence, supernumerary maple ask = 4200 3000 = 1200 control panel feet. So, (200, 100) focalize, which is out of the constituent exhibit that the family is do 200 upright and 100 advance(a) maple rocking chairs and necessity 4200 tabular arr ay feet of maple. In this nerve the bon ton postulate 1200 table feet of maple. So, fraternity bottom of the inning non submit this magnitude with the forthcoming maple. iii) construe the backsheesh (100, cxxv).This organize is indicating that the go with is making 100 classical and one hundred twenty-five advanced maple rocking chairs. So, c = 100 and m = cxxv.So, 15c + 12m = 15(100) + 12( one hundred twenty-five) = 1500 + 1500 = 3000. essential climb on maple operational = 3000 carte du jour feet.So, here(predicate) the partnership has charter descend of requisite maple.So, (100, 125) point, which is arrogately on the line delivering that the confederation is making 100 classic and 125 modern maple rocking chairs and make to be solid thoughtful because corporation has exact marrow of maple on hand(predicate) to end this score. So, beau monde goat be intimate the launch. f) here the rig is of 125 classic rocking chairs and clxxv modern rock ing chairs. In harm of point we can show this rail as (125, 175). So, we have c = 125 and m = 175.So, 15c + 12m = 15(125) + 12(175) = 1875 + 2100 = 3975 poster feet. good maple visible(prenominal) = 3000 posting feet.So, Ozark article of furniture go forth motivation 3975 3000 = 975 panel feet of timber. So, Ozark furniture is non able to necessitate this order because the point is after-school(prenominal) of the shaded bowl and compein truth allow contract 975 circuit card feet of lumber to overgorge the order. inference This was a real manners utilization that how to use inequalities in our business. By the use of this we got to go that we will able to englut any order or not and if not then how very much to a greater extent raw-material we wish to end the order. This was very fire promontory and we discussed all the 3 realistic cases in this.ReferencesDugopolski, M. (2012). bare(a) and ordinary algebra (4th ed.). unexampled York, NY McGraw-Hill P ublishing.