Question Solve the following linear programming problem by using MS Solver. • Solution in MS Excel file. • Carry out the sensitivity analysis for Cl and C3. Max. Z= 6X, + 2.5 X, + 4X3 Subject to: 2X, + 3X2 + 5X, <=5000 4X, + 2X, + 3X, <=7000 6X, + 4X, + 2.5X, <=5000 X, >= 0 X2 >= 0 X3 >= 0
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- 3) Maximize Z= 2x, +x2 +3x 3 X+x2+2x3 <25 + X3 5 8 X2+ x3 S10 X1, X2, X3 2 0 Subject to IMe2. Solve the LP using isocost method. Min Z = 2x + y s.t. x + y ≥5 2x + 6y ≥ 18 3x - y ≥ 3 x-2y ≤4 x, y ≥ 0Long-Life Insurance has developed a linear model that it uses to determine the amount of term life insurance a family of four should have, based on the current age of the head of the household. The equation is:y = 850 − .1xwherey = Insurance needed ($000)x = Current age of head of household a. Plot the relationship on a graph. b. Use the equation to determine the amount of term life insurance to recommend for a family of four if the head of the household is 30 years old.
- LPP Model Maximize P = 12x + 10y Subject to : 4x + 3y < 480 2x + 3y < 360 X, y 2 0 Which of the following points (x, y) is feasible? A) ( 120, 10) B ( 30, 100 ) c) ( 60, 90 ) D) ( 10, 120 )Problem 7-19 eBook Given the linear program Max 3A +48 s.t. Y -1A+ 1A + 2A + s.t. 28 ≤ 8 2B ≤ 12 18 ≤ 16 Α, Β 2 0 a. Write the problem in standard form. For those boxes in which you must enter subtractive or negative numbers use a minus sign. (Example: -300) Al+ A+ A+C A+ B+ B B+ B B b. Select the correct graph that shows the optimal solution for the problem. S1 S1 + + S₂ + S2 + S3 53 A, B, S1, S2, S3 A Q☆Maximize Profit=123 L + 136 S 17 L+11 S≤ 3000 6 L+9 S≤2500 L20 and S20 (Availability of component A) (Availability of component B) Show Transcribed Text Implement the linear optimization model and find an optimal solution. Interpret the optimal solution. The optimal solution is to produce LaserStop models and SpeedBuster models. This solution gives the possible profit, which is $. (Type integers or decimals rounded to two decimal places as needed.)
- Q2. Solve the given LP problem on the right by (LP): Max Z = 2X1 + 4X2 %3D using The Graphical Solution Method. a) Find the optimal solution, determine the solution type. b) Find the optimality range for the changes in the objective coefficient c2. c) Find the feasibility range for the changes in the Right Hand Side (RHS) of one st. 3X1 + 2X2 < 12 Xị + 2X2 s 8 2X1 + X2 2 2 X1, X2 2 0 of the binding constraints.Next question Use the simplex method to solve the linear programming prob z= 8x1 - 7x2 + 4x3 2x1 Maximize X2 + 8x3 s 40 4x1 - 5x2 + 6x3576 2x1 - 2x2 + 6x3< 32 X120, X2 20, хз 20. subject to Select the correct choice below and, if necessary, fill in the answer boxes to complete your choice. A. The maximum is , X2 =, X3 = S2 = and s3 when X1 S1 = B. There is no maximum.?Q-Find the solution by using the simplex method MAX Z= 2X1+3X2+X3 - :S. T X1+6X2+X3 ≤ 6 X1+2X2+X3 ≤ 4 X1-X2+X3 ≤ 3 X1, X2,X3 ≥ 0