Question: The following primal LPP has a solution x' = (o, 4, 4/5, 0) %3D Max. z = X1 + 2x2 +X3 + X4 2x,

The following primal LPP has a solution x' = (o, 4, 4/5,

The following primal LPP has a solution x' = (o, 4, 4/5, 0) %3D Max. z = X1 + 2x2 +X3 + X4 2x, +x,+3x3 +X4 S 8 2x, +3x2+ 4x4 s 12 s. t. 3x, +X,+23 S 18 X; 20, j = 1, 2, 3, 4 then the solution of the dual problem is a. Infinitely many solutions O b. w = (0, 0, 11/5) O c. w = (0, 11/15, 0) O d. w = (11/15, 0, 0)

Step by Step Solution

★★★★★

3.44 Rating (154 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock blur-text-image

Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock

Step: 3 Unlock

Document Format (2 attachments)

63650813b2b83_239835.pdf

180 KBs PDF File

63650813b2b83_239835.docx

120 KBs Word File

Students Have Also Explored These Related Mathematics Questions!

x1 + 3x2 + x3 = 4 2x1 + 2x Solve the system by inverting the coefficient matrix and using Theorem 1.6.2.

8 2x 2 = 3x + x

x1 - 3x2 + x3 = 4 2x1 - x2 = - 2 4x1 - 3x3 = 0 Solve by Cramer's rule, where it applies.

Consider the following statements about a system of linear equations with augmented matrix A. In each case either prove the statement or give an example for which it is false. (a) If the system is...

Green Toys, a toy manufacturer in Cairo, Egypt, has the following master production plan: Period (weeks) 1 2 3 4 5 6 7 8 9 10 11 12 Gross requirements 1,000 800 1,000 400 200 800 Lead time = 1 week;...

Use the GaussJordan method to determine whether each of the following linear systems has no solution, a unique solution, or an infinite number of solutions. Indicate the solutions (if any exist). 2...

Consider the linear program min 2x1 + 3x2 + 4x3 s.t. x1 + 2x2 + x3 3 2x1 - x2 + 3x3 4 x1, x2, x3 0 (a) Use nonnegative surplus variables x4 and x5 to place the model in standard form. (b) State...

A R-12 heat pump cycle shown in Fig. P6.71 has a R-12 flow rate of 0.05 kg/s with 4 kW into the compressor. The following data are given State 1 2 3 4 5 6 P kPa 1250 1230 1200 320 300 290 T C 120 110...

A psychologist determined that the number of sessions required to obtain the trust of a new patient is either 1, 2, or 3. Let x be a random variable indicating the number of sessions required to gain...

Prepare the 2011 and 2012 common-size balance sheets for Just Dew It.

List the contents of a typical survey report.

E2.22 The rotational velocity v of the satellite shown in Figure E2.22 is adjusted by changing the length of the beam L. The transfer function between v1s2 and the incremental change in beam length...

A race car travels a complete lap on a circular track of radius 500 m in 50 s. (a) The average velocity of the race car is (1) zero, (2) 100 m/s, (3) 200 m/s, (4) none of the preceding. Why? (b) What...

A pollution-sampling rocket is launched straight upward with rockets providing a constant acceleration of 12.0 m/s2 for the first 1000 m of flight. At that point the rocket motors cut off and the...

A plot of position versus time is shown in Fig. 2.20 for an object in linear motion. (a) What are the average velocities for the segments AB, BC, CD, DE, EF, FG, and BG? (b) State whether the motion...

The Byrd Corporation engaged in the following transactions at the beginning of 2007: 1. Purchased a Hogburger franchise for a five-year, $60,000, 10%-interest-bearing note. The franchise has an...

A photographer in a helicopter ascending vertically at a constant rate of 12.5 m/s accidentally drops a camera out the window when the helicopter is 60.0 m above the ground. (a) How long will the...

Earth's mass is 5.971024kg. Earth's radius is 6.37106m. The universal gravitational constant is G=6.671011N m2kg2. Ignore air resistance. A ball is dropped from rest at a height of 3.17 106m above...

(1) Consider the following primal LPP and its dual. We assume as usual that the rows of A are linearly independent: maximize: cm x subject to: Ax=b x>0 minimize: bp subject to: Ap>c (p unrestricted)...

6. The dual to the dual of an LPP is the primal LPP itself. Mark the statement as T (True) or F (False).

Consider the following primal linear program: maxsubjectto2x1x2+x32x1+x210x1+2x22x320x2+2x35x1,x2,x30 1. Write the corresponding dual formulation. 2. Find the values of the dual variables by solving...

For the following primal problem, (a) formulate the dual, (b) solve the dual graphically. Then use the dual solution to find the optimal values of (c) the primal objective function and (d) the primal...

Complementary Slackness At optimality, if a variable in one problem is positive, then the corresponding constraint in the other problem (its dual) must be tight (binding or active), If a constraint...

= 3. (25 points] Consider the following primal problem: min f(x) = -(x1 4)2 (x2 4)2 s.t. 91(x) = 21-30 0). = The dual problem is max 0(u) s.t. u > 0 where 0(U1, U2) = min{-(x1 4)2 (x2 4)2 + u1(x1 3)...