Cheatsheet MB for University, Cheat Sheet of Business Mathematics

Download Cheatsheet MB for University and more Cheat Sheet Business Mathematics in PDF only on Docsity! 1& Sketch the graph-Chape & g & - ① Sketch function : Demand : p = -0 .02q + 1 . 49 + 100/Supply : p = 0 .02p+2 · Step 0 : Acac ham theo , p = ... a ben dren fres Lock o drem cua 2 ham (1) v/vnet Demand : p = -0 .02q1 . 49 + 100 Supply : p = 0 .0292+ 2 Step 1 : Timge C & / O gi tri G drif E. point Pe= -0 .02qe + 1 : 492 + 100Step 2 : Lap bang -- E [ae =7e· V ham demand/ham-ax ... bas gom ben trai & - Pe = 0 .02qt2 9 = O , p = 0 , cistri , giao diem -> tibt trustingu Q O - bla 92 ... Ion & taj ca Demand : p = -0 . 0292+ 1 . 49+ 100 * q = - =- ) = Es P - O php 9 O I 354 170/193 .9 124 ,5 1 & Chay may ban note them - -- P 1001124 .5100 O 100 & - ... -- y · Vahansupply/kam as ..., baoonsee note ma minh chiar Supply : p = 0 . 02q2 + 2 => a = 0 ↳07 o &I ↓ & is jo 112 . 9 & Application of Derivatives - Chap 3 > ⑳ - = E(p) = f x a = ps 500 - 30 = SprEE(10) = - 3 . 102 I = -0. 25 1500-3. 10 < .Tink theo p not a (neu gpl khan chuyen p = ... thank q = ... p) < Call X... X = 1 . 25%Marginal :Dyeuca tit min max printee ->Thun tin cach no thi lam cach to, chuxend EN0=rateof chand p = = 0. = X = -0 .2 - ↑ -> # phong trink ar his trong can La tao du cao ham can til Chia / O- den 2· Step 1 : To prink danhac- trong can hi - b · Step 2: Cho dao ham = 0 => tubo Note cac cho con chea nho : Lim , tangent, mot ↑ · Step 3 : To hm bac hai"(o) >0 eastien scong this dao hai coban , rate of change ... S ↓ Cach 2: Minimise AC - AC= MC & &"() LO c dai customiseThe - C /q = 39 + 50 = 18 q + 10 E0 - 3 - 18 -110Maximise Profit -> MR = MC Cach2 AC = - = C= Each+ -> Mc = c = 69 + so - (8 (nq + 189 . 1) 2 C& Optimisation Problem - Chap 4 Constrained min/max AC = MC --- => 39 - 189 - 120 = 0 Unconstraind Min/Max 39 + 120 = 69 - 18 - [4 = 10 = 397 - 189 - 120 = 0 q = - 4 ((oai) ↑ E [a = 1Es -" - 18 + 20 = " (10)= ... > O N = 0 => min when q = 18 & Timb 8 = f(x , y) - f(x0 , yo) => c (10) = ... I (10) = ... · , , y = ( , yo) min So the min AC is ... when q = 10 So the min A2 is ... when a s 10 O & 0 x , y => ( , yo) max Note Substitute/Complementary , cross-price · Otherwise , Saddle point elastic , income elastic... ③ - > 0 . 540-0 . 09"= 0 2 (6; 0) ; =>E 0 . 245 - 0 . 06 = 0Co Coo, - D# - Chap 5 A Note mot socch bien => = PrXPss- & (6; 4)times, se Lam decto theo dang p = f(c) Pe Ill donguien hm,m s⑳ = (0 . 54 - 0. 18r)(0 . 24 - 0. 1) & & · Step 1 : Vie 2 ham Demand , Supply - I Li chi A c dan), ④ Gong Q,l 25 , PS fai E . point A& continuous moneyflow O Cro , so Por Pss Prs ↓ Conclusion Lam ging y changan · Step 2 . Equilibrium point : Sagee in- - I& Bs(0; 0 0. 54 0. 24 G 0 . 1296 local minimum - S (0 ; 4) 0 . 54-0. 24 O ~0 . 1296 minimax · Step3 : Demandi... Q (6 ; 0) - 0 . 54 0 . 24 O - 0 . 1296 minimax as = 80 .09 + . 49 + 100)d - 100 x 70 = 1143. 33 O - V (6; 4) = 0 . 55) -0 . 24 0 0 . 1296 local maximum * phai ham nao angla 9 · Seede PS = Pe "9e - SS (9S Linear > Vbang - 1 = 100x 70 - % (0 . 0292 2) = 4573bien thin d =>K Lun & viet dis bang gia tri Co tri, croach)