Chapter 9


[Page 785 ( continued )]
1.

min. P 1 d 1 , P 2 d 2 , P 3 d 1 + , P 4 d 3 + , s.t. 5 x 1 + 2 x 2 + 4 x 3 + d 1 - d 1 + = 240, 3 x 1 + 5 x 2 + - x 3 + d 2 - d 2 + = 500, 4 x 1 + 6 x 2 + 3 x 3 + d 3 - d 3 + = 400

3.

min. P 1 d 1 , P 2 d 2 , P 3 d 3 + , 3 P 4 d 4 + 6 P 4 d 5 + P 4 d 6 + 2 P 4 d 7 , s.t. 80,000 x 1 + 24,000 x 2 + 15,000 x 3 + 40,000 x 4 + d 1 = 600,000, 1,500 x 1 + 3,000 x 2 + 500 x 3 + 1,000 x 4 + d 2 - d 2 + = 20,000, 4 x 1 + 8 x 2 + 3 x 3 + 5 x 4 + d 3 - d 3 + = 50, x 1 + d 4 - d 4 + = 7, x 2 + d 5 - d 5 + = 10, x 3 + d 6 - d 6 + = 8, x 4 + d 7 - d 7 + = 12

5.

(a) min. P 1 d 2 + , P 2 d 7 + , 4 P 3 d 4 + 2 P 3 d 5 + P 3 d 6 , P 4 d 1 , P 5 d 3 ; s.t. x 1 + x 2 + x 3 + d 1 = 2,000, 800 x 1 + 1,500 x 2 + 500 x 3 + d 2 - d 2 + = 20,000, 10 x 1 + 12 x 2 + 18 x 3 + d 3 - d 3 + = 800, x 1 + d 4 - d 4 + = 800, x 2 + d 5 - d 5 + = 900, x 3 + d 6 - d 6 + = 1,100, d 3 + + d 7 - d 7 + = 100; (b) x 1 = 25, d 1 = 1,975, d 3 = 550, d 4 = 775, d 5 = 900, d 6 = 1,100, d 7 = 650

7.

x 1 = 20, d 2 = 10, d 3 = 50

9.

x 1 = 15, d 1 + = 12, d 2 + = 10, d 4 = 6; not satisfied

11.

(a) min. Z = P 1 d 1 , P 2 d 4 + , 3 P 3 d 2 + 2 P 3 d 3 , P 4 d 1 + ; s.t. x 1 + x 2 + d 1 - d 1 + = 80, x 1 + d 2 = 60, x 2 + d 3 = 35, d 1 + + d 4 d 4 + = 10; (b) x 1 = 60, x 2 = 30, d 1 + = 10, d 3 = 5

13.

(a) min. P 1 d 1 , P 2 d 2 + , P 3 d 3 , P 4 d 4 ; s.t. x 1 + d 1 - d 1 + = 30, 20 x 1 + 40 x 2 + 150 x 3 + d 2 - d 2 + = 1,200, x 2 + x 3 + d 3 - d 3 + = 20, x 3 + d 4 - d 4 + = 6; (b) x 1 = 30, x 2 = 15, d 3 = 5, d 4 = 6

15.

(b) x 1 (Sunday) = 0, x 2 (Monday) = 7, x 3 (Tuesday) = 0, x 4 (Wednesday) = 27, x 5 (Thursday) = 0, x 6 (Friday) = 25, x 7 (Saturday) = 1

17.

A = .1653, B = .3346, C = .5001

19.

Abbott = .3147, Bates = .1600, Cook = .5253

21.

Global = .2030, Blue Chip = .5060, Bond = .2910

23.

Explorer = .4542, Trooper = .2605, Passport = .2852

25.

Cheraton = .3393, Milton = .1929, Harriott = .4677

27.

Robin = .4431, Terry = .1902, Kelly = .3667

31.

MB = .3454, DB = .4570, FL = .1977

33.

DSS = .6415, OM = .3585

35.

(a) renovate = .6436, new = .3564; (b) consistent

37.

Memorial = .4633, Country = .3203, General = .2163

39.

A = .2843, B = .3109, C = .4049

43.

S (1) = 77.50, S (2) = 80.80, S (3) = 82.05; site 3

45.

S (South) = 73.80, S (West A) = 74.50, S (West B) = 67.25, S (East) = 76.75; East site

47.

S (C) = 76, S (E) = 75, S (D) = 74, S (B) = 70, S (A) = 69


[Page 786]
49.

S (Roanoke) = 84.74, S (Richmond) = 83.79, S (Greensboro) = 82.61, S (Charlotte) = 81.10, S (Bristol) = 79.02, S (Knoxville) = 76.93




Introduction to Management Science
Introduction to Management Science (10th Edition)
ISBN: 0136064361
EAN: 2147483647
Year: 2006
Pages: 358

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