Describe the circumstances under which the constraints are more important than the objective function in the linear programming problem ?
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- For the products A, B, C, and D, which of the following could be a linear programming objective function? Select one: a. Z = 1A + 2BC + 3D b. Z = 1A + 2AB + 3ABC + 4ABCD c. Z = 1A + 2B + 3C + 4D d. Z = 1A + 2B/C + 3DAnalyze algebraically what special case in simplex application is present in each of the LP model below. Give an explanation to support your answer. a) Maximize z = 4x1 + 2x2 Subject to: 2x1 - x2 ≤ 2 3x1 - 4x2 ≤ 8 x1, x2 ≥ 0b) Maximize z = 3x1 + 2x2 Subject to: 4x1 - x2 ≤ 8 4x1 + 3x2 ≤ 12 4x1 + x2 ≤ 8 x1, x2 ≥ 0Write down the assumption of linear programming problems?
- Which of the following is the optimal value of the objective function for the LP model in this problem? Minimize z=4x + 8y Subject to: x+1.6y>=45 2x+0.5y>=40 X+y<=40 XY>=0 a.220 b.160 c.240 d.200INCORRECT FORFormulate a linear programming model that can be used to determine the pounds of Brazilian Natural and Colombian Mild that will maximize the total contribution to profit. (Let BR = pounds of Brazilian beans purchased to produce Regular, BD = pounds of Brazilian beans purchased to produce DeCaf, CR = pounds of Colombian beans purchased to produce Regular, and CD = pounds of Colombian beans purchased to produce DeCaf.) Max 2.033BR+2.582BD+1.868CR+2.418CD INCORRECT Pounds of Regular BR+CR≤900 INCORRECT Pounds of DeCaf BD+CD≤400 INCORRECTMaximizationProblems and Minimization problems ***When using the simplex method, what is the difference between maximizing and minimizing?
- Consider the following all-integer linear program:max 5x1 + 8x2s.t. 9x1 + 4x2 ≤ 361x1 + 2x2 ≤ 10x1, x2 ≥ 0 and integer.Finish this statement: The objective function value for ILP problems can never... match the optimal solution to its LP relaxation. be better than the optimal solution to its LP relaxation. be as poor as the optimal solution to its LP relaxation. be worse than the optimal solution to its LP relaxation.Why is it generally necessary to add nonnegativityconstraints to an optimization model? Wouldn’t Solverautomatically choose nonnegative values for thedecision variable cells?
- Which of the following is the converted constraint of 3x + 2y ≥ 35 under maximization of profit in simplex method? a. -3x +2y + S1 = -35 b. 3x +2y + S1 = 35 c. -3x -2y + S1 = -35 d. -3x -2y - S1 = -35 Which of the following is the converted constraint of 3x + 2y ≥ 35 under minimization of profit in simplex method? a. 3x + 2y - S1 + A1 = 35 b. 3x + 2y + S1 + A1 = 35 c. 3x + 2y + S1 - A1 = 35 d. 3x + 2y - S1 - A1 =-35 e. 3x + 2y - S1 + A1 =-35The equation below specifies a function with independent variable x. Determine whether the function is linear, constant, or neither x=2y+5Discuss the similarities and differences between minimization and maximization problems using the graphical solution approach of Linear Programming. Be sure to provide examples. (Two-hundred words)