Kindly go through the solution provided below.
1. Use the following table to determine the two numbers a and b that you will...
1. Solving the linear programming problem Maximize z 3r1 2r2 3, subject to the constraints using the simplex algorithm gave the final tableau T4 T5 #210 1-1/4 3/8-1/812 0 0 23/4 3/8 7/8 10 (a) (3 points) Add the constraint -221 to the final tableau and use the dual simplex algorithm to find a new optimal solution. (b) (3 points) After adding the constraint of Part (a), what happens to the optimal solution if we add the fourth constraint 2+...
Based on this linear programming problem below, and answer the following questions: Minimize subject to Z=500 y, + 200 y, 3y, + y 24 -y, +2y, 210 y; - y, 215 -y, +4y, 225 y, 20, y, 20 and 1) Find the dual to the linear programming problem. 2) Using the simplex method to solve the dual problem. 3) The simplex method in part 2) should require 3 pivots (4 tableaus including the initial one). For each tableau, write the...
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
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=
Homework for section 4.3. Summer 2020 Math 116, section 70, Summer 1 2020 WebAssign 1.-12 Points Harmathapit 4.3.003.MI Set Up The S... I Che MY NOTE 1. [-/18 Points) DETAILS HARMATHAP11 4.3.003.MI. Set up the simplex matrix used to solve the linear programming problem. Assume all variables are nonnegative. Maximize f = 5x + 7y subject to 6x + 7y S 300 x + 6y S 250. x y S; S2 first constraint second constraint objective function Need Help? Read...
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...
4.6-1.* Consider the following problem. Maximize Z= 2x1 + 3x2, subject to x1 + 2x2 54 x1 + x2 = 3 and X120, X2 0. DI (a) 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. I (c) Continue from part (b) to work through the simplex method step...
Solve the following LP problem using the Simplex Method. Type out all work. (Use the table function 3. with borders to create your tableaux.) Maximize subject to x + 3y +zS15 3x 2y +zs 25 x20,y2 0, z20
-/2 POINTS MY NOTES ASK YOUR TEACHER Solve the following linear programming problem. Restrict x 20 and y 2 0. Maximize f = 3x + 4y subject to x + y s 9 2x + y s 14 y s6. (x, y) = ( ) -/2 POINTS MY NOTES ASK YOUR TEACHER Solve the following linear programming problem. Restrict x 2 0 and y 2 0. Minimize g = 6x + 8y subject to the following. 5x + 2y >...
Use graphical methods to solve the following linear programming problem. Maximize: z= 3x + y subject to: x-ys7 3x + 5y = 45 X20, y20 Graph the feasible region using the graphing tool to the right. Click to enlarge graph , at the corner point The maximum value of z is (Simplify your answers.) of T o to 12 14 16