Question: 5. Consider the following problem (40%) Max Z = 3x + Sx2 St. yu 2 x2 S 24 25 3x + 2x S 18 ,

5. Consider the following problem (40%) Max Z =

5. Consider the following problem (40%) Max Z = 3x + Sx2 St. yu 2 x2 S 24 25 3x + 2x S 18 , X2 20 The simplex method yields the final set of equations: (0) Z+9/2x, + 5/2xs 45 (1) x +x)- 4 (2) 3/2x + x +1/2xs-9 (3) -3x +x-xs6 Now you are to conduct sensitivity analysis by independently investigating each of the following changes in the original model. Test this change, if the original solution is feasible and optimal solution? If either test fails, re-optimize to find a new optimal solution. Change the coefficients of x to [cs, ap, as, ay]-(6, 2, 1, 2] ) Change the coefficient of x to [c a, az, ai - [9, 1, 2, 6] For the change (b), what is the allowable range of c ) Introduce a new variable xe, objective function becomes Z= 3x + 5x2 + 6x, and constraints: (1) become x +x S 4; (2) 22 + 2x6 S 24; (3) 3x + 2x2+3xs S 18 Ye) Introduce a new constraint 3x +x S 8 %3! 5. Consider the following problem (40%) Max Z = 3x + Sx2 St. yu 2 x2 S 24 25 3x + 2x S 18 , X2 20 The simplex method yields the final set of equations: (0) Z+9/2x, + 5/2xs 45 (1) x +x)- 4 (2) 3/2x + x +1/2xs-9 (3) -3x +x-xs6 Now you are to conduct sensitivity analysis by independently investigating each of the following changes in the original model. Test this change, if the original solution is feasible and optimal solution? If either test fails, re-optimize to find a new optimal solution. Change the coefficients of x to [cs, ap, as, ay]-(6, 2, 1, 2] ) Change the coefficient of x to [c a, az, ai - [9, 1, 2, 6] For the change (b), what is the allowable range of c ) Introduce a new variable xe, objective function becomes Z= 3x + 5x2 + 6x, and constraints: (1) become x +x S 4; (2) 22 + 2x6 S 24; (3) 3x + 2x2+3xs S 18 Ye) Introduce a new constraint 3x +x S 8 %3

Step by Step Solution

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

Students Have Also Explored These Related General Management Questions!

Consider the following problem (60%) Max Z= 2x1 - x2 + x3 St. 3x1 - 2x2 +2x3 = 15 -X1 + x2 + x3 3 3 x1 - x2 + x3 S 4 X1, X2, X3 20 The simplex method yields the final simplex table as follow: Basic...

b. Report clearly Question 3 Consider the following linear program: Max Z = 3X1 + 2x2 S.T. 5x1 +5x2 5 400 X1 - X22-10 X1 + 3x22 90 4x1 + 2x2 2 180 X2 35 X1, X220 a. Using the graphical solution...

Consider the following LP problem. max z = 4x1 + x2 s.t. 3x1 + x2 = 3 4x1 + 3x2 6 x1 + 2x2 4 x1, x2 0 (a) (5 points) Write it in the standard from. (b) (20 points) Using Big-M method, construct the...

Consider the following problem (60%) Max Z= 2x1 - x2 + x3 St. 3x1 - 2x2 +2x3 = 15 -x1 + x2 + x3 S 3 x1 - x2 + x3 5 4 X1, X2, X3 20 The simplex method yields the final simplex table as follow: Basic...

In the rest of this chapter, we lead the reader through the formulation of several more complicated linear programming models. The most important step in formulating an LP model is the proper choice...

For the given transportation problem in Table 1 with three supply and four demand points, you are given a basic feasible solution (Table 2). The goal in this problem is to minimize the cost of...

1. Radioco manufactures two types of radios. The only scarce resource is labor. At present, the company has two laborers. Laborer 1 is willing to work up to 40 hours per week and is paid $5 per hour....

1-TA x 0 One Users/DELI/Documents/M%2020-21-19020.pdf 3 A Read aloud V Dight + 1. Case Analysis (25 points Panetto was an ilypier of personal data ish (PDA) and dominates that market space in terms...

Consider the following LP model: max z = 50x, +100x2 (4x, + x, s 450 2x, +x, S 400 s.t. X, S 250 X,X, 20 (1) Solve the problem by the simplex method. (2) Find the dual price of each constraint. 24....

PLease solve without using any programs/excel. 2. (25 pts) Consider the following linear problem. max Z =6x, -9x2 subject to : 2x, 3x, 56 X; + x2 =18 *2 23 xi 20 (a) (5 points) Plot the feasible...

a. Using a statistical package of your choice, confirm the regression results given in Eq. (2.24) and Eq. (2.25). b. For both regressions, get the estimated values of Y (i.e., i) and compare them...

Figure 1. Scatter plot comparing the rates of spontaneous mutation resulting in resistance (x-axis) versus th number of years for antibiotic resistance to render that antibiotic ineffective (y-axis)....

When duties cannot be segregated, the most important internal control procedure is Option A supervision Option B independent verification Option C access controls Option D accounting records

When older adults have difficulty with transportation and communication, or may be reluctant to request needed assistance to which they are entitled, they may be in need of: Group of answer choices...