University:
Felician University
Course:
MATH-231 | Geometry I
Academic year:

2020
Views:

150

Pages:

3
Author:

5CelestialChronicle

';uidelines: • Write out all givens and unknowns. • Givens - label with units о Unknowns - defme your variaЫes, х and у - easy to graph • List your constraints. • Inequalities • Write out the Objective Function - what do you want to maximize or rninimize? • Use this last in the proЫem. • Sketch the feasiЫe region - label your graph and axes. • Use intercepts and substitution. • Find all vertices of the feasiЫe region. • Check the Objective Function using the vertices to determine the maximum or minimum value. Ех. А grocer buys а case of almonds and walnuts. Almonds are packaged 20 bags per case and cost the grocer $30 per case, giving him а profit of $17 per case. Walnuts are packaged 24 bags per case and cost the grocer $26 per case, giving him а profit of $15 per case. Не orders no more than 300 bags of almonds and walnuts together at а maximum cost of $400. How many cases of each should the grocer buy to maximize his profit? Unknowns: .rК,:: -:U: o�Co.Sl� oF А lмot'\d.S flj :: # о р c.o.se � о р Waiflи+ S Objective Function: р :::- r 1 x.-t- ,�� j @мin? ��•·•-·'···<-,-i... , ;..• .... , ,.,- ..•.....,. .... , � . . Ех. Аbook store manager is purchasing new bookcases. The store needs at least 320 feet of shelf space. Bookcase А provides 32 ft of shelf space and costs $200. Book case В provides 16 ft of shelf space and costs $125 . Beca use of space restri ction s, the store has room for at most 8 ofbookcase А and 12 of book -. case В. How ... \many of each type ofbookcase should the manager purchase , to minimize the cost? ·-Givens: д : 32 +t spaCR f2.00 cost (О Unknowns: х� :tt- 6_.р 'Всо�Саr-€ А ':{ -ttc 0 t &okcose 'В "Б: ttof-Ь 1f"l5 YYtaлtt�и s hcLЛ lc{ 'очу о+ А (:µl.d ц oF- 13 ° r +о fY\r r1. coSt More Practice: +о tZ,(00 Ех. Sue manages а soccer club and must decide how mапу mem bers to send soccer camp. It costs $75 for each advanced player and $50 for each intermediate player. Sue can spend no more than $13,250. Sue must send at least 60 more advanced than intermediate players and а minimum of 80 advanced players. Find the number of each type of player Sue can send to camp to maximize the nu mber of players at camp. ,к;.1Ь- аdимиd Plё½tr5 :) ::: jf:: ( (\ � �Р·-°1 t rs: А: c_{)<;t n�V-0.д'\�� •. % >,,D 15 ,х -, О о �15 ео_. ]: : с о� -t 450 еа. . '\1 // -� (УLЦ).( i,, { 250 + 50::j � /3, "Х �80 -?:"- � � '1 О 0 r Р = ')C+:j меt-)( Ь3 ee,--h� -h-lи.e,ft � 17�./ l Q) ( О I z<.,<,) у( � :J t" (c,0 ,х, .- (рО1f 1j f (,х r:J"it-�(1(-hO) == ( 32.,ro 5 + 'Х)Х ,... 3000 .::. ( �1..SD f 'Х. D = � $" 11 '? rx1(, - )2� ;::- � ? (_ 1(30 ,1 С)) \__\ )