Question: Consider the following problem. Maximize Z = 5x1 + 4x2 x3 + 3x4, Subject to and x1 ¥ 0, x2 ¥ 0, x3 ¥ 0,

Consider the following problem.
Maximize Z = 5x1 + 4x2 €“ x3 + 3x4,
Subject to

and
x1 ‰¥ 0, x2 ‰¥ 0, x3 ‰¥ 0, x4 ‰¥ 0.
(a) Work through the simplex method step by step to solve the problem.
(b) Identify the shadow prices for the two resources and describe their significance.
(c) Use a software package based on the simplex method to solve the problem and then to generate sensitivity information. Use this information to identify the shadow price for each resource, the allowable range for each objective function coefficient and the allowable range for each right and side.

3x1 + 2x2-3x3 + x4 3xi + 3x2+ X3 24 36 (resource 2) (resource l) 3x

Step by Step Solution

★★★★★

3.45 Rating (184 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock

a Optimal Solution x 1 x 2 x 3 x 4 11 0 3 0 and Z 52 b The sh... View full answer

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 (1 attachment)

545-M-S-L-P (376).docx

120 KBs Word File

Students Have Also Explored These Related Statistics Questions!

Consider the following problem. Maximize Z = x1 + x2 + x3 +x4, Subject to and xj 0, for j = 1, 2, 3, 4. Work through the simplex method step by step to find all the optimal BF solutions. xi t x2E3

Consider the following problem. Maximize Z = 8x1 + 4x2 + 6x3 + 3x4 + 9x5, Subject to And x1 0, j = 1,.,5. You are given the facts that the basic variables in the optimal solution are x 3 , x 1 , and...

Consider the following problem. Maximize Z = 5x1 + 3x2 + 4x3, Subject to and x1 0, x2 0, x3 0. You are given the information that the nonzero variables in the optimal solution are x 2 and x 3 ....

Required information Consider the following problem. Maximize Z= 5x1 + 4x2.- x3 + 3x4 subject to 4x1+3x2-4x3+2x4 30 (resource 1) 4x1 +4x2+2x3+4x4 42 (resource 2) and x120, X220, x320, x4 0. Work...

! Required information Consider the following problem. Maximize Z= 5x1 +4x2.- x3 + 3x4. subject to 4x1+3x2-4x3 + 2x430 (resource 1) (resource 2) 4x1+4x2+2x3+4x4 s42 and x120, X220, X3 0, X4 0....

Consider the following LP: Maximize z = 2x1 + 4x2 + 4x3 - 3x4 Subject to X1 + x2 + x3 = 4 X1 + 4x2 + x4 = 8 X1, x2, x3, x4 0

Consider the following LP: Maximize z = 2x1 + 4x2 + 4x3 - 3x4 subject to x1 + x2 + x3 = 4 X1 + 4x2 + X4 = 8 X1, X2, X3, X4 20 Using xz and x4 as starting variables, the optimal tableau is given as...

Consider the following LP: Maximize z = 2x1 + 4x2 + 4x3 - 3x4 subject to x1 + x2 + x3 = 4 x1 + 4x2 + x4 = 8 X1, X2. x3, x420 Using x3 and x4 as starting variables, the optimal tableau is given as:...

Consider the following LP: Maximize z = 2x1 + 4x2 + 4x3 - 3x4 subject to x1 + x2 + x3 = 4 X1 + 4x2 + x4 = 8 x1,x2, x3, x420 Using x3 and x4 as starting variables, the optimal tableau is given as:...

Consider the problem Maximize z = 2x1 + 4x2 + 4x3 - 3x4 subject to x1 + x2 + x3 = 4 x1 + 4x2 + x4 = 8 x1, x2, x3, x4 0 Solve the problem with x3 and x4 as the starting basic variables and without...

In 2020, B purchased a crane to be used entirely for business. He spent a total of $1,390,000. He decided to use the limited-expensing election (ignore bonus depreciation). What is the total...

The data file Thailand Consumption shows 29 annual observations on private consumption (Y) and disposable income (X) in Thailand. Fit the regression model log yt = 0 + 1log x1t + glog yt-1 + t and...

Suppose an investor who is in the 4 0 percent marginal tax bracket is considering the acquisition of a tax - exempt municipal bond which offers a yield of 3 . 5 percent. What would be the equivalent...

What reason does the employer provide for Laxtons termination?

Reconsider Prob. 16.2-1. Suppose now that the given probabilities, 0.5 and 0.9, are replaced by arbitrary values, and , respectively. Solve for the steady-state probabilities of the state of the...

A transition matrix P is said to be doubly stochastic if the sum over each column equals 1; that is, M i0 pij 1, for all j. If such a chain is irreducible, aperiodic, and consists of M 1 states, show...

Reconsider Prob. 16.3-3. Use the results given in Prob. 16.5-2 to find the steady-state probabilities for this Markov chain. Then find what happens to these steady-state probabilities if, at each...

The verbal part of the Graduate Record Exam (GRE) has a mean (/) of 500 and standard deviation (o) of 100. Use the normal distribution to answer the following questions: a. If we wanted to select...

state the null and alternative hypotheses by selecting the appropriate symbolH1:H0: A dietitian wishes to see if a person's cholesterol level will be changed if the diet is supplemented by a certain...

Answer appropriately. 2. Find the probability distribution for flipping 4 coins, looking at the number of heads. Then, find the following: (a) Find the mean of the probability distribution (b) Find...