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Q2. Consider the following problem. (CLO3) (10 Marks)
Maximize Z = x1 + 2x2,
subject to
-x1+x2<=-2
4x1 _+x2 <= 4
and
x1 >=0, x2 >=0.
(a) Demonstrate graphically that this problem has no feasible solutions. (5 Marks)
(b) Construct the dual problem. (5 Marks)

Q2. Consider the following problem. (CLO3) (10 Marks)
Maximize Z = xl + 2x2,
subject to
-x1+x2<=-2
4x1 +x2 <= 4
and
xl >=0, x2 >=0.
(a) Demonstrate graphically that this problem has no feasible solutions. (5 Marks)
(b) Construct the dual problem. (5 Marks)

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Vector A = 2 +33 and vector B = 51-43 +3k. Part A What is the cross product Ax B? Find the -component. Express your answer as integer ► View Available Hint(s) A × B]x = Submit Part B IVE ΑΣΦ α B Y V Ax By = A Submit T P Σ Previous Answers Φ Ψ Ω Find the y-component. Express your answer as integer ▸ View Available Hint(s) € n 6 T φ - ΑΣΦ ħ 0 χ E • * Incorrect; Try Again: 5 attempts remaining A component of a cross product does not equal the product of the respective vector components. You may need to review The Vector Cross Product. You may want to review Hint 1. How to approach the problem. K y @ 2 μ ? ?
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2. Let u, v, w and x be vectors. Classify the following expressions as being one of the following: vector, real number, meaningless. (a) (ux v) x (w x x), (b) (ux v). (w x x), (c) (ux v) (w xx), (d) u. (v x W),