Download presentation
Presentation is loading. Please wait.
Published byKarla Gandy Modified over 3 years ago
1
Tutor Tues Apr 2, 2-4 PM since no classes Apr 1 Set 6 due Apr 9 Set 7 due April 11 C-3 due April 18
2
Typo: Summer Schedule Page 27, MSCI 306M Session 1: June 3-July 12 (6 weeks)
3
Answers to Practice Problems II Problem (1)
4
(1) 4X1 + 3X2 >96 X1X2 096/3=32 96/4=240
5
X1 X2 0,32 24,0 (1)
6
(2) X1 + X2 <50 X1X2 050 0
7
X1 X2 0,32 24,0 0,50 50,0 (1) (2)
8
(3) X1 +3X2 >60 X1X2 060/3=20 600
9
X1 X2 0,32 24,0 0,50 50,0 (1) (2) 0,20 60,0 (3)
10
Corner Point: (1),(3) (1) 4X1 + 3X2 = 96 (3) X1 + 3X2 = 60 (1)-(3) 3X1 = 36 X1 = 12 (3) 12 + 3X2 = 60, so X2 = 16
11
Corner Point: (2),(3) (2) X1 + X2 = 50 (3) X1 + 3X2 = 60 (3)-(2) 2X2= 10 X2 = 5 (2) X1 + 5 = 50 X1 = 45
12
X1 X2 0,32 24,0 0,50 50,0 (1) (2) 0,20 60,0 (3) Corner points Not feasible Not feasible 12,16 45,5
13
MINIMUM COST X1X22X1+7X2 1216136 455125=MIN 032224 050350
14
EXAM FORMAT MAKE 45 UNITS OF ALASKA AND 5 UNITS ARABIAN FOR $ 125 COST
15
ANSWER: (2)
16
SIMULTANEOUS EQUATIONS (1)2X1 + X2 = 12 (2) X1 – X2 = -3 (1)+(2)3X1 = 9 X1 =3 3-X2 = -3 X2 = 6
17
0,12 6,0 0,3 3,6 INFEASIBLE
18
MINIMIZE COST X1X2COST= 4X1+3X2 01236 3630=MIN
19
ORIGINAL PROBLEM MAKE BOTH X1 AND X2
20
NEW PROBLEM CHANGE (1) 2X1+X2 >8
21
0,12 6,0 0,3 3,6 INFEASIBLE 0,8 4,0 1.7,4.7
22
MIN COST X1X2COST= 4X1+3X2 0824 1.74.720=MIN
23
OUTPUT INSENSITIVE NEW: MAKE BOTH X1 AND X2 ALSO INPUT INSENSITIVE SINCE BOTH ORIGINAL PROBLEM AND NEW PROBLEM HAVE NO SLACK
24
(3) ALGEBRA STEP 1: OBJECTIVE FUNCTION OLD C1 = 5
25
Z= C1X1 +12X2 12X2 = Z – 5X1 X2 = (1/12)Z – (C1/12)X1 COEFFICIENT OF X1 IS –C1/12
26
STEP 2: CONSTRAINT (1) 2X1 + X2 = 200 X2 = 200 –2X1 COEF OF X1 IS -2
27
STEP 3: STEP 1 = STEP 2 -C1/12 = -2 C1 = 24 OLD C1 = 5 C1 < 24
28
STEP 4: CONSTRAINT (2) X1 + 2X2 = 300 2X2 = 300 –X1 X2 = 150 –0.5 X1 COEF OF X1 IS –0.5
29
STEP 5: STEP 1 = STEP 4 -C1/12 = -0.5 C1 = 6 OLD C1 = 5 C1 < 6 STEP 3: C1 < 24 ANSWER: C1 < 6
30
(4) MAX X1+3X2+2X3+4X4 X1=AM PHONE, X2=AM RIDE, X3=AFT PHONE, X4=AFT RIDE CONSTRAINTS AM: X1+20X2 < 12(60)=720 AFT: 2X3+30X4 < 14(60) = 840 GAS: X2+X4 < 100
31
(5)MIN 3X1+4X2+2X3+X4, X1=FISH,X2=BEEF, X3=LETTUCE, X4=BEANS CAL: 1000<400X1+700X2+40X3+500X4<1800 FAT: 15<4X1+80X2+2X4<40 PROT: 90X1+100X2+2X3+20X4>25 CHOL: 100X1+300X2<19
32
(6)MIN 100000X1+50000X2, X1=TV, X2= RADIO X2 X1 > 2 1000000X1+ 400000X2 > 3000000.6(1000000)X1+(1-.7)(40000)X2 1000000X1+400000X2 >.4 X1 < 5
Similar presentations
© 2018 SlidePlayer.com Inc.
All rights reserved.
Ppt on ministry of corporate affairs notification Ppt on zener diode application Ppt on being creative youtube Ppt on network switches Project ppt on student information system Ppt on lymphatic system Ppt on game theory wikipedia Ppt on planet venus Ppt on role of information technology in agriculture Ppt on artificial intelligence for speech recognition