Q1) Solve following linear programming model using computer:

 Minimize Z = 8x₁ + 6x₂

 Subject to

    4x₁ + 2x₂ ≥ 20

 -6x₁ + 4x₂ ≤ 12

  x₁ + x₂ ≥ 6

 x₁, x₂ ≥ 0

Q2) Solve given linear programming model using computer:

 Maximize Z = 5x₁ + 8x₂

 Subject to

 3x₁ + 5x₂ ≤ 50

  2x₁ + 4x₂ ≤ 40

   x₁ ≤ 8

    x₂ ≤ 10

   x₁, x₂ ≥ 0

For data in given sample:     8, 1, 5, 1 5

a) Determine the mean and standard deviation.

b) Now change te score of X=8 to X=18 and determine the new median and standard deviation.

c) Explain how one extreme score influences mean and standard deviation.