Question: Consider the following LP problem. where x 1 , x 2 , and x 3 represent the decision variables. Solve the LP problem to answer

Consider the following LP problem. 

Maximize Subject to: Constraint 1 Constraint 2 Constraint 3 Constraint 4 z


where x1, x2, and x3 represent the decision variables. Solve the LP problem to answer the following questions. 

a. What are the values of x1, x2, and x3 at the optimal solution? What is the maximum value of z? 

b. Identify the binding and nonbinding constraints and report the slack value, as appropriate. 

c. Report the shadow price and range of feasibility of each binding constraint. Interpret the results. 

d. What is the range of optimality for the three objective function coefficients? Interpret the results.

Maximize Subject to: Constraint 1 Constraint 2 Constraint 3 Constraint 4 z = 5x + 8x + 6x3 5x + 10x + 5x3 80, 6x + 9x2 + 8x390, X 15, X1, X2, X3 0,

Step by Step Solution

★★★★★

3.41 Rating (164 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer
Step: 1 Unlock

a Optimal solution x 1 12 x 2 2 x 3 0 and z 76 b Constraints 1 and 2 ar... View full answer

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

Students Have Also Explored These Related Business Statistics Communicating Questions!

Q:

Using this model, if a 15-year-old scored 70 on his academic knowledge exam, what would you expect him to score on his health knowledge exam? Assume that age and academic knowledge (graded exam:...

Q:

Consider the following LP problem: MAX: 4X1 + 2X2 Subject to: 2X1 + 4X2 20 3X1 + 5X2 15 X1, X2 0 a. Use slack variables to rewrite this problem so that all its constraints are equal to...

Q:

Consider the following LP problem: MAX: 2X1 + 4X2 Subject to: -X1 + 2X2 8 X1 + 2X2 12 X1 + X2 2 X1, X2 0 a. Use slack variables to rewrite this problem so that all its constraints are equal to...

Q:

Consider the following LP problem: MIN: 5X1 + 3X2 + 4X3 Subject to: X1 + X2 + 2X3 2 5X1 + 3X2 + 2X3 1 X1, X2, X3 0 a. Use slack variables to rewrite this problem so that all its constraints are...

Q:

please look at each picture, some were cut off due to the picture window so i posted them seperate but they are the same question for instance question b and c i wasnt able to post the whole question...

Q:

( a ) ( i ) Describe the Backtracking and Jumptracking strategies for branching ( to solve Integer Programming problems ) . ( ii ) Describe at least one advantage and one disadvantage of each of the...

Q:

Question ( 4 ) : solve the following problem: ( 1 0 marks ) Consider the following LP problem: Maximize profit = $ 5 X + $ 6 Y Subject to: 2 X + 3 Y = 0 Answer the...

Q:

Question ( 4 ) : solve the following problem: ( 1 0 marks ) Consider the following LP problem: Maximize profit = $ 5 X + $ 6 Y Subject to: 2 X + 3 Y = 0 Answer the...

Q:

Consider the following LP problem. Maximize Subject to Constraint 1 : Constraint 2 : Constraint 3 : z = 9 . 1 0 x 1 + 5 . 8 0 x 2 , 5 x 1 + 3 x 2 = 0 ,...

Q:

Consider the following LP problem. Minimize z = 9 x 1 + 6 x 2 , Subject to Constraint 1 : 5 x 1 + 3 x 2 > = 3 0 , Constraint 2 : 2 x 1 + 5 x 2 > = 3 3 , Constraint 3 : x 1 , x 2 > = 0 , where x 1 and...

Q:

Consider the following LP problem. Minimize z = 9 x 1 + 6 x 2 , Subject to Constraint 1 : 5 x 1 + 3 x 2 > = 3 0 , Constraint 2 : 2 x 1 + 5 x 2 > = 3 3 , Constraint 3 : x 1 , x 2 > = 0 , where x 1 and...

Q:

Multiple Choice Questions: What report attributed fear of crime and the limits of the police to provide protection to the rise in employment in the area of private security and away from public...

Q:

It is known that the potential difference across 6 resistor in Fig. 6 is 48 V. The entering current I is a+ 6 48 V b 12 92 C www 30 ww 15 92 10 892 Fig.6 ww d it

Q:

what is the total debt (in $ thousands) June 30, 2022Current Assets Cash and cash equivalents $ 535,799 Marketable securities and other investments 27,862 Trade accounts receivable, net 2,341,504...

Q:

Mega Brands (TSX:MB) is a Canadian toy manufacturing company based in Montreal, Quebec. It employs more than 1000 people (over half of its global work- force) at its Montreal facility. It also...

Q:

In a study of bacterial concentration in surface and subsurface water (Pb and Bacteria in a Surface Microlayer Journal of Marine Research [1982]: 1200 1206), the accompanying data were obtained....

Q:

The accompanying summary quantities for x 5 particulate pollution (mg/m3 ) and y 5 luminance (.01 cd/ m2 ) were calculated from a representative sample of data that appeared in the article Luminance...

Q:

If the sample correlation coefficient is equal to 1, is it necessarily true that r 5 1? If r 5 1, is it necessarily true that r 5 1?

Q:

Cooper Technologies Ltdis a company that provides geospatial services for national governments, states, provinces, counties, municipalities, and commercial organisations around the world. The...

Q:

In 2018, Caterpillar Inc. had about 650 million shares outstanding. Their book value was $25.0 per share, and the market price was $155.80 per share. The companys balance sheet shows that the company...

Q:

Growth Annuities Question 3 (1 point) A payment starts out as $0, but undergoes growth of $6.10 per month for a total lifetime of 28 months. Calculate the equivalent uniform payment amount if the...