2. Consider the following linear model where c has not yet been defined. Max z =...
2. Consider the following linear model where c has not yet been defined. Max z = C1x1 + x2 s.t. X1 + X2 <6 X1 + 2.5x2 < 10 X1 2 0,X220 Use the graphical approach that we covered to find the optimal solution, x*=(x,x) for all values of - Sci so Hint: First draw the feasible region and notice that there are only a few corner points that can be the optimal solution. Also remember that if the objective...
2. Consider the following linear model where C1 has not yet been defined. Max s.t. z = C1x1 + x2 X1 + x2 = 6 X1 + 2.5x2 < 10 X1 > 0, x2 > 0 Use the graphical approach that we covered to find the optimal solution, x*=(x1, xỉ) for all values of -00 < ci so. Hint: First draw the feasible region and notice that there are only a few corner points that can be the optimal solution....
alim Universitesi LMS adi Consider the following linear programming model Maximize z = 3x1 + 2 X2 s.t. Xi 54 X1 + 3x2 = 15 2X1 + X2S TO X 30 X220. Calculate the value of the objective function for each of the corner-point (extreme point) solutions. Use this information to identify the optimal solution. Fill the table below with your answers. Extreme-point (x1.x2) Objective Value feasible Z solutions
Consider the following linear program Max 3xl +2x2 S.t 1x1 + 1x2 〈 10 3x1 1x2 〈 24 1xl t 2x2< 16 And xl, x2> 0. a) Use Excel Solver to find the optimal solution to this problem. State the optimal values of xl, x2, and Z. b) Assume that the objective function coefficient for xl changes from 3 to 5. Does the optimal solution change? c) Assume that the objective function coefficient for x1 remains 3, but the objective...
Explain the process of this problem to approach the correct answer. Thank you following Linear Programming (LP) Consider the problem. Minimize Z= 4x1 + 2x2 Subject to (soto). 2x1 - x2 x1 + 2x2 X1 + x2 IVAN 1003 and Xizo x220 a. draw the feasible region and the objective function line bo Indicate all Corner point feasible solutions and the optimal Solution.
Solve the following linear programming problems as directed. Put in a box the values of all the variables you use in your solution, as well as the optimal value of the objective function. a) SIMPLEX METHOD Max Z = 11X1 + 10X2 s.t. 2 X1 + X2 <= 150 4 X1 + 3 X2 <= 200 X1 + 6 X2 <= 175 X1, X2 >= 0 b) GRAPHIC METHOD (do not forget to indicate the feasible region) Min Z = 30...
Consider the following linear programming model: Max X1 + X2 Subject to: X1 + X2 ≤ 2 X1 ≥ 1 X2 ≥ 3 X1, X2 ≥ 0 This linear programming model has a(n). A. Unbound solution B. Infeasible solution C. Redundant constraint D. Alternate optimal solution
Consider the following linear programming model Max 2X1 + 3X2 Subject to: X1 + X2 X1 ≥ 2 X1, X2 ≥ 0 This linear programming model has: A. Infeasible solution B. Unique solution C. Unbounded Solution D. Alternate optimal solution E. Redundant constraints
Must show all work legibly. (20 pts) Consider the following problem, where the values of C 20 and 220 have not yet been ascertained. Maximize Z=C,X, +C2X, subject to X2+3x258 A(0, 8/3) X1 + X, 54 B(2, 2) and x 20, X220. Use the graphical sensitivity analysis to determine the optimal solution(s) for (x...) for various C(4,0) possible values of c, and cz. When C, and satisfy - the optimal solution is point a 0,5 When C, and C, satisfy...
Answers please Production and Operations Management (29:623:311) Spring 2019 3. A linear programming model is given as follows: maximize Z = 50x1 + 80x2 + 64x3 + 80x4 Subject to 5xit 2.5x2 +4.5x3 +3.99x, S 600 4.1x, + 2.6xz +5.5x +1.9x, S 500 15x, 22x2 +18x3 +25x4 S 400 8x+ 12.6x2 +9.7x3 +10.55x4 S 1700 x1 + x2 2 0.60 (a) Solve the problem by using excel solver. (b) What are the sensitivity ranges for the objective function coefficients? (c)...