Solve the following linear programming model graphically: maximize Z=3x1+6x2 subject to 3x1+2x2≤18 x1+x2≥5 x1≤4 x1, x2≥0
Solve the following linear programming model graphically:
maximize Z=3x1+6x2
subject to
3x1+2x2≤18
x1+x2≥5
x1≤4
x1, x2≥0
Homework Answers
Objective function refers to the function that is either maximized or minimized. The constraints may be equalities or inequalities. So, in linear programming problems, linear objective functions are minimized or maximized which is subject to linear constraints. Thus, in a linear programming problem the objective function and the constraints must be linear functions of the decision variables.
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Solve the following linear programming model graphically:
maximize Z=3x1+6x2
subject to
3x1+2x2≤18
x1+x2≥5
x1≤4
x1, x2≥0
Solve the following LP problem graphically. Maximize profit = 3x1 + 5x2 Subject to: x2 ≤...
Solve the following LP problem graphically. Maximize profit = 3x1 + 5x2 Subject to: x2 ≤ 6 3x1 + 2x2 ≤ 18 x1, x2 ≥ 0
2. Solve the following LP problem graphically. Maximize profit = 3x1+ 5x2 Subject to:x2≤6 3x1 +...
2. Solve the following LP problem graphically. Maximize profit = 3x1+ 5x2 Subject to:x2≤6 3x1 + 2x2≤18 x1, x2≥0
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Consider the following LP problem. MAX: 9X1-8X2 Subject to: x1+x2≤6 -x1+x2≤3 3x1-6x2≤4 x1,x2≥0 Sketch the feasible...
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Solve the following linear programming problem using Two Phase method [12M] Maximize z = 3X1 -...
Solve the following linear programming problem using Two Phase method [12M] Maximize z = 3X1 - 3X2 + X3 Subject to X; + 2x, - xz 25 - 3x; – x2 + x3 54 47, X2, X3 20.
Solve the linear programming problem using the simplex method. Maximize z = 2X, + 5x, subject...
Solve the linear programming problem using the simplex method. Maximize z = 2X, + 5x, subject to 5x, + X560 5x + 2x2 580 X1 + x2 $70 X1, X2 20. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. O A. The maximum is z = when X, x2 = 1,5, - S2 = and s3 = B. There is no maximum solution for this linear programming problem.
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Use the simplex method to solve the linear programming problem. Maximize z= 16X, +6X2 subject to: 4xy + 2x2 5 11 Xy + 2x2 55 with X, 20, X220. Select the correct choice below and, if necessary, fill in the answer boxes to complete your choice. and X O A. The maximum is when X, - (Simplify your answers.) OB. There is no maximum.
+ Use the simplex method to solve the linear programming problem. Maximize z= 2X2 + 3x2 subject to: 5x1 + x2 = 70 3x4 + 2x2 5 90 X1 + X2 580 X1, X220. with Select the correct choice below and, if necessary, fill in the answer boxes to complete your choice. A. The maximum is when X1 = and X2 (Simplify your answers.) OB. There is no maximum.
Consider the following linear program: Maximize Z-3xI+2x2-X3 Subject to:X1+X2+2 X3s 10 2x1-X2+X3 s20 3 X1+X2s15 X1, X2, X320 (a) Convert the above constraints to equalities. (2 marks) (b) Set up the initial simplex tableau and solve. (9 marks)
Consider the following linear program: Maximize Z-3xI+2x2-X3 Subject to:X1+X2+2 X3s 10 2x1-X2+X3 s20 3 X1+X2s15 X1, X2, X320 (a) Convert the above constraints to equalities. (2 marks) (b) Set up the initial simplex tableau and solve. (9 marks)
Solve the following linear programming problem using Two Phase method [12M] Maximize z = 3X1 - 3X2 + X3 Subject to X; + 2x, - xz 25 - 3x; – x2 + x3 54 47, X2, X3 20.
Solve the linear programming problem using the simplex method. Maximize z = 2X, + 5x, subject to 5x, + X560 5x + 2x2 580 X1 + x2 $70 X1, X2 20. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. O A. The maximum is z = when X, x2 = 1,5, - S2 = and s3 = B. There is no maximum solution for this linear programming problem.
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