Use the simplex method and the Duality Principle to solve the following minimum problem: Minimize: C...
Use the simplex method and the Duality Principle to solve the following minimum problem: Minimize: C = 2001 +622 Subject to the constraints: - 201 +3.02 > 0 31 +3:02 > 9 C1 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. 11 12 C=
Use the simplex method to solve the following maximum problem: Maximize P= 3.61 +2:02 Subject to the constraints: 221 +22 18 2x1 +3.02 < 42 3x1 +2224 210 x2 > 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. C1 = C2 = P=
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=
Solve the linear programming problem by simplex method. . Minimize C= -x - 2y + z. subject to 2x + y +2 < 14 4x + 2y + 3z < 28 2x + 5y + 5z < 30 x = 0, y>02 > 0
In the simplex method, which of the following is considered a Standard Maximum problem? (Please select one answer). O Maximize: Z = 601 +8.02 Subject to the following constraints: 5x + 10x2 < 60 401 + 402 <-40 X>0; 202 > 0 Maximize: P = -1 +232 + 3003 Subject to the following constraints: 21 + 2.02 + 2003 < -20 5.01 2x2 + 4.03 <15 2.01 + 2x2 + 4.03 < 23 X>0 220; 203 > 0 Maximize: P=40:21...
Consider the following minimum problem: Minimize: C=2.01 +32 Subject to the constraints: 5.21 +22 > 9 201 + 2.02 > 10 > 0 * > 0 Write the dual problem for the above minimum problem by selecting the appropriate number for each blank box shown below (Do not solve the dual problem). P= (Select) Yi+ (Select) Y2 (Select) 31+ [ Select) y2 <2 (Select) Y1+ Select) y2 <1 yı > 0 y2 > 0
Consider the following problem Minimize Z3x+2 subject to 3+26 and 20, 20 ()Solve this problem graphically (b) Using the Big M method, construct the complete first simplex tableau for the simplex method and identify the corresponding initial (artificial) BF solution. Also identify the initial entering basic variable and the leaving basic variable. (c) Work through the simplex method step by step to solve the problem
Use the simplex method to solve the problem. + Find yn 20 and y2 =0 with the given constraints. 4y, +4y2 2 16 4y7 + y2217 and w = 6y1 + y2 is minimized. 1 when y1 = and dy2 = 0 The minimum is w= (Type integers or simplified fractions.)
Solve the following problems using the Simplex method and verify it graphically Problem 4 Minimize f=5x1 + 4x2 - 23 subject to X1 + 2x2 - X3 = 1 2x1 + x2 + x3 = 4 X1, X2 2 0; xz is unrestricted in sign