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ESI 4313  Operations Research 1  University Of Florida Study Resources
 University Of Florida (UF)
 Amar Sapara

Ch02
School: University Of Florida
Course: Operations Research 1
1 MP CHAPTER 2 SOLUTIONS Section 2.1 1 2 5 8 3 6 9 1a. A= 4 7 1b. 3A= 3 6 9 12 15 18 21 24 27 1c. A+2B is undefined. 1 4 7 2 5 8 3 6 9 1d. AT= 1e. BT= 1 2 0 1 1 2 4 6 1f. AB= 10 15 16 24 1g. BA is undefined. 2. y y y 1 2 3 .50 0

Ch03
School: University Of Florida
Course: Operations Research 1
1 MP CHAPTER 3 SOLUTIONS SECTION 3.1 1. max z = s.t. 30x1 x1 4x1 10x1 x1 + 100x2 + x2 7 (Land Constraint) + 10x2 40(Labor Constraint) 30(Govt. Constraint) 0, x2 0 2a. No, government constraint is violated. 2b. No; Labor constraint is not satisfied.

Ch03rp
School: University Of Florida
Course: Operations Research 1
1 CHAPTER 3 MP REVIEW PROBLEMS 1. Let x1 = barrels of beer produced x2 = barrels of ale produced Then we should solve max z = 5x1 + 2x2 s.t. 5x1 + 2x2 60 2x1 + x2 25 x1, x2 0 Graphically we find the optimal solution to be z = 60, x1 = 10, x2 = 5, x1

Ch04
School: University Of Florida
Course: Operations Research 1
1 MP CHAPTER 4 SOLUTIONS SECTION 4.1 1. max z = 3x1 s.t. 2x1 x1 x1 + + + + 2x2 x2 + s1 = 100 x2 + s2 = 80 s3 = 40 2. min z = 50x1 + 100x2 s.t. 7x1 + 2x2  e1 = 28 2x1 + 12x2  e2 = 243. min z = 3x1 + s.t. x1 x1 + 2x1 x2 e1 = 3 x2 + s2 = 4 x2 = 3 3

Ch05
School: University Of Florida
Course: Operations Research 1
1 SOLUTIONS TO MP CHAPTER 5 PROBLEMS SECTION 5.1 1. Typical isoprofit line is 3x1+c2x2=z. This has slope 3/c2. If slope of isoprofit line is <2, then Point C is optimal. Thus if 3/c2<2 or c2<1.5 the current basis is no longer optimal. Also if th