4. Consider the following LP: max z = 6x1 + x2 st. X1 + x2 < 5 2x, + x2 5 6 X1,x2 20 (a) Solve this problem using the Simplex Algorithm and obtain the optimal tableau for this problem. (b) If we add a new variable x, such that: max z = 6x1 + x2 + x3 X1 + x2 + ax3 S 5 2x1 + x2 + bx3 S 6 X1, X2, X3 20 where a and b are scalar values, define the conditions under which the current basis stay st. optimal.

Q: Find y'. y = (x2 - 2x + 2)(2x3 - x2 + 4) 10x4 - 20x3 + 18x2 + 4x - 8 O 2x4 - 16x3 + 18x2 + 4x - 8…

A: This question is based on Derivative of function.

Q: 6. Use the simplex method to find the maximum value of subject to + 6x 58 + 12 , X 20.

A:

Q: It is a problem about simplex method in linear programming     maximize   2x1 - 6x2 subject to…

A:

Q: Indicate the least integer n for which (3x6 + 2x2)(x3 + 3x) is O(xn).

A: Solution:-

Q: Find 1) w(x,,x2,x3)for the system x, = tx,-2x2+3x3 1 x2= 5x,-3x2+X3 X 3 = - X2+ X3

A:

Q: Solve the linear programming problem using the simplex method. Maximize P= - X, +2X2 subject to - x,…

A: Using Simplex Method we have to find optimal solution for given linear programming problem.

Q: Max 14x1 + 7x2 t. 2x1 + 5x2 = 14 *1 + 2x2 = 6

A: Feasible region: The region determined by all the non-negative constraints and inequalities iscalled…

Q: 1. Consider the following model: s.t. Max 14x₁ + 7x2 2x1 + 5x₂ ≤ 14 x₁ + 2x₂ ≤6 x₁ ≥ 0,x₂ ≥0 (a)…

A: "Since you have posted a question with multi subparts, we will solve the first three subparts…

Q: Maximize z = 14x, + 3x, +3x2 subject to: 7x, +3x, s8 2

A:

Q: (7y² + 12y + 6) + (6y? - 9y + 7)

A: Given (7y² + 12y + 6) + (6y² - 9y + 7) = ?