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6. (10 points) Consider the following LP: minimize y...
Consider the following LP problem: Minimize Cost = 3x1 + 2x2 s.t. 1x1 + 2x2 ≤...
Consider the following LP problem: Minimize Cost = 3x1 + 2x2 s.t. 1x1 + 2x2 ≤ 12 2x1 + 3 x2 = 12 2 x1 + x2 ≥ 8 x1≥ 0, x2 ≥ 0 A) What is the optimal solution of this LP? Give an explanation. (4,0) (2,3) (0,8) (0,4) (0,6) (3,2) (12,0) B)Which of the following statements are correct for a linear programming which is feasible and not unbounded? 1)All of the above. 2)Only extreme points may be optimal....
Consider the following LP z= 2x1-x2 st s r 22 0 1. Prove the feasible region of the above LP is c...
Consider the following LP z= 2x1-x2 st s r 22 0 1. Prove the feasible region of the above LP is convex set. (Note: You could not prove using graphical representation) (2 points) 2. Find extreme directions of the feasible region. (2 points)
Consider the following LP z= 2x1-x2 st s r 22 0 1. Prove the feasible region of the above LP is convex set. (Note: You could not prove using graphical representation) (2 points) 2. Find extreme directions...
QUESTION 1 Given the following LP, answer questions 1-10 Minimize -3x15x2 Subject to: 3x2x 24 2x1+4x2 2 28 2s 6 x1, x2...
QUESTION 1 Given the following LP, answer questions 1-10 Minimize -3x15x2 Subject to: 3x2x 24 2x1+4x2 2 28 2s 6 x1, x2 20 How many extreme points exist in the feasible region for this problem? We cannot tell from the information that is provided The feasible e region is unbounded QUESTION 2 Given the following LP, answer questions 1-10 Minimize 2- 31+5x2 Subject to: 3x2x 24 2x1+4x2228 t is the optimal solution? (2, 6) (0, 12) (5,4.5) None of the...
could someone help me with this Solve the following initial value problem 22 y (z) –...
could someone help me with
this
Solve the following initial value problem 22 y (z) – 7 (de v(z)) + 10 y (2) = 18 sin (z) – 14 cos (2) with d. 2 y(0)=2, dy(0) dr =12
could anyone explain to me wat im doing wrong here Given the graph of y=f(1) below,...
could anyone explain to me wat im doing wrong here
Given the graph of y=f(1) below, answer all of the following questions. ។ 2 1 X -4 -2 -2 -4 [-6,5][4,-3] (a) List the intervals where f is increasing: [-2,-3] (b) List the intervals where f is decreasing: A
Problem 3 Consider the LP problem Minimize -3r22 0s1+0s2 +0s3 0s Subject to 228 2r2 + $2 1,2,81,8...
Problem 3 Consider the LP problem Minimize -3r22 0s1+0s2 +0s3 0s Subject to 228 2r2 + $2 1,2,81,82 8384 with optimal tableau as follows: sic r1 T2 s1 s2 s3 s4 Solution C 0 0 20 1 0 0 12 Optimum 0 30 0-103 4 0 021 2 Find the dual optimal solution and the corresponding objective function value using the information provided in the optimal simplex tableau.
Problem 3 Consider the LP problem Minimize -3r22 0s1+0s2 +0s3 0s Subject...
6 Proof of the dual theorem Proof: We will assume that the primal LP is in canonical form Maximiz...
please explain it to me clearly
6 Proof of the dual theorem Proof: We will assume that the primal LP is in canonical form Maximize Zr, such that Arb 20 12 Its dual is Minimize W·ry, such that ATy c (no sign constraints on y). Step 1: Suppose xB is the basic variables in the optimal BFS (say r*) f follows from the above discussion that Row (0) of the optimal tableau will be the Prianal LP. It Basic VariableRow2...
I don't understand how we solve for all the other variations. Can anyone help me out...
I don't understand how we solve for all the other variations.
Can anyone help me out and walk me through the process? I know its
quite a long question, but I'd really appreciate it!
(1 point) Express the integral JIJ: f(,y,z)dV as an iterated integral in six diferent ways, where is the solid bounded by z = 0,2 = 4y and zº = 16 – y. 92(3) 1 Torce has bec" f(2,9, 2)dzdydz a = -4 b= 4 91(x) =...
Need help with this two questions 1. Consider the isoperimetric problem: = / yV1+y2da= min, y(0)...
Need help with this two questions
1. Consider the isoperimetric problem: = / yV1+y2da= min, y(0) y(a)0 subject to the constraint J = Jo In class we showed that this problem could be written as the solution of the ODE A VI2 where A is a constant and A is the Lagrange multiplier a) Show very clearly that the general solution of this equation can be written as B y A - Acosh b) Determine the values of A, A,...
(10 points) This problem is related to Problems 8.16-21 in the text. Consider the differential equation...
(10 points) This problem is related to Problems 8.16-21 in the text. Consider the differential equation y" (t) + 16y'(t) + 68y(t) = –20e-4t u(t), with initial conditions y(0) = -3, and y'(0) = 4. Find the Laplace transform of the solution Y(s). Write the solution as a single fraction in s Y(s) = help (formulas) Find the partial fraction decomposition of Y(s). Enter all factors as first order terms in s, that is, all terms should be of the...
Consider the following LP z= 2x1-x2 st s r 22 0 1. Prove the feasible region of the above LP is convex set. (Note: You could not prove using graphical representation) (2 points) 2. Find extreme directions of the feasible region. (2 points)
Consider the following LP z= 2x1-x2 st s r 22 0 1. Prove the feasible region of the above LP is convex set. (Note: You could not prove using graphical representation) (2 points) 2. Find extreme directions...
QUESTION 1 Given the following LP, answer questions 1-10 Minimize -3x15x2 Subject to: 3x2x 24 2x1+4x2 2 28 2s 6 x1, x2 20 How many extreme points exist in the feasible region for this problem? We cannot tell from the information that is provided The feasible e region is unbounded QUESTION 2 Given the following LP, answer questions 1-10 Minimize 2- 31+5x2 Subject to: 3x2x 24 2x1+4x2228 t is the optimal solution? (2, 6) (0, 12) (5,4.5) None of the...
could someone help me with
this
Solve the following initial value problem 22 y (z) – 7 (de v(z)) + 10 y (2) = 18 sin (z) – 14 cos (2) with d. 2 y(0)=2, dy(0) dr =12
could anyone explain to me wat im doing wrong here
Given the graph of y=f(1) below, answer all of the following questions. ។ 2 1 X -4 -2 -2 -4 [-6,5][4,-3] (a) List the intervals where f is increasing: [-2,-3] (b) List the intervals where f is decreasing: A
Problem 3 Consider the LP problem Minimize -3r22 0s1+0s2 +0s3 0s Subject to 228 2r2 + $2 1,2,81,82 8384 with optimal tableau as follows: sic r1 T2 s1 s2 s3 s4 Solution C 0 0 20 1 0 0 12 Optimum 0 30 0-103 4 0 021 2 Find the dual optimal solution and the corresponding objective function value using the information provided in the optimal simplex tableau.
Problem 3 Consider the LP problem Minimize -3r22 0s1+0s2 +0s3 0s Subject...
please explain it to me clearly
6 Proof of the dual theorem Proof: We will assume that the primal LP is in canonical form Maximize Zr, such that Arb 20 12 Its dual is Minimize W·ry, such that ATy c (no sign constraints on y). Step 1: Suppose xB is the basic variables in the optimal BFS (say r*) f follows from the above discussion that Row (0) of the optimal tableau will be the Prianal LP. It Basic VariableRow2...
I don't understand how we solve for all the other variations.
Can anyone help me out and walk me through the process? I know its
quite a long question, but I'd really appreciate it!
(1 point) Express the integral JIJ: f(,y,z)dV as an iterated integral in six diferent ways, where is the solid bounded by z = 0,2 = 4y and zº = 16 – y. 92(3) 1 Torce has bec" f(2,9, 2)dzdydz a = -4 b= 4 91(x) =...
Need help with this two questions
1. Consider the isoperimetric problem: = / yV1+y2da= min, y(0) y(a)0 subject to the constraint J = Jo In class we showed that this problem could be written as the solution of the ODE A VI2 where A is a constant and A is the Lagrange multiplier a) Show very clearly that the general solution of this equation can be written as B y A - Acosh b) Determine the values of A, A,...
(10 points) This problem is related to Problems 8.16-21 in the text. Consider the differential equation y" (t) + 16y'(t) + 68y(t) = –20e-4t u(t), with initial conditions y(0) = -3, and y'(0) = 4. Find the Laplace transform of the solution Y(s). Write the solution as a single fraction in s Y(s) = help (formulas) Find the partial fraction decomposition of Y(s). Enter all factors as first order terms in s, that is, all terms should be of the...
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