(4 points) Consider the following maximization problem. Maximize P = 14x + y - 10z subject...
(1 point) Consider the following maximization problem. Maximize P = 9x1 + 7x2 + x3 subject to the constraints 13x1 x1 - x2 + 6x2 + - 10x3 12x3 = = 20 56 xi 20 x2 > 0 X3 > 0 Introduce slack variables and set up the initial tableau below. Keep the constraints in the same order as above, and do not rescale them. P X X2 X3 S1 RHS
Maximize Z = 3X + Y subject to the following constraints: 12X + 14Y ≤ 85, 3X + 2Y ≤ 18, Y ≤ 4. Which of the following extreme points yields the maximum value? Select one: a. X = 2.416, Y = 4 b. X = 6, Y = 0 c. X = 0, Y = 4 d. X = 4.556, Y = 2.1667
Must show all work 4. (10 pts) Consider the following problem. Minimize Z=3x2+2 xZ+X3, Maximize subject to subject to (constraint 1) x2+x2=7 (constraint 1) (constraint 2) 3x2+x2+x,210 (constraint 2) (constraint 3) X2-4 x32-8 (constraint 3) (constraint 4) x 21 and (all decision variables nonnegativel and x >0 (no nonnegativity constraint on x.i. (a) (5 pts) Convert this problem to a maximization problem with only three functional constraints, all constraints' RHS are non negative, and all decision variables need to satisfy...
We will use u and v as our dual variables. Maximize 12x +15y subject to 5x+4y < 40 Given the following Maximize 3x +2y < 36 x,y 20 Set up the dual problem The dual objective function is One constraint is Another constraint is The variables are You are given the following problem; Maximize 10x+15y subject to 6x+3y < 96 x+y = 18 X.y 20 Based on this information which tableau represents the correct solution for this scenario?
1. -18 points TanFin11 4.1.002. Consider the following linear programming problem. Maximize P 4x + 7y subject to the constraints -2x -3y 2-18 (a) Write the linear programming problem as a standard maximization problem. MaximizeP subject to s 12 s 18 (b) Write the initial simplex tableau Constant 12 18 0 Submit Answer Save Progress
3. Consider the following production problem Maximize 10r 12r2 20r, subject to the constraints xi +x2 +x3 10. ri + 2r2 +3rs 3 22, 2x1 2a2 +4x3 S 30 120, x2 20, 0 (a) (2 points) Solve the problem using the simplex method. Hint: Check your final tableau very carefully as the next parts will depend on its correct- ness. You will end up having 1, 2, r3 as basic variables. (b) (6 points) For1,2, and 3, determine the admissible...
(3 points) Maximize the function P = 7x – 8y subject to x > y > 6x + 5y = ( 10x + 2y > ΛΙ ΛΙ V 0 0 30 20 What are the corner points of the feasible set? The maximum value is and it occurs at . Type "None" in the blanks provided if the maximum does not exist.
Consider the following optimal tableau of a maximization problem where the constraints are of the s type. (Initial basis consisted of the columns corresponding to the slack variables in order shown) SLACK 0 2 0-2-1/10 2 0 1 01/21/5-1 0 1/2 0 0 0 0 1 1 25-3/10 2 a. Find the optimal objective function value, as well as the value of 0. b. Would the solution be altered if a new activity x, with coefficients (2,0,3) in the constraints,...
5. Waner p 302 #1) Given the LP problem: Maximize p = 2x + y subject to: Constraint 1: x + 2y <= 6 Constraint 2: -x + y<=4 Constraint 3: x + y = 4 XX. >= 0 The final simplex tableau is as follows: Basic 10 0 Answer the following questions: Find the new value of the objective function when b3 is changed from 4 to 6. g) The range of values of 4 (63) such that the...
Use the simplex method to solve the following maximum problem: Maximize P= x1 +2:02 Subject to the constraints: 2x1 + x2 < 8 21 +2y < 5 X1 > 0 22 > 0 and using your final tableau answer the questions below by entering the correct answer in each blank box. Please enter fractions as 3/5, -4/7, and so on. 21 2 P=