Basic variablesvales Current x1 x2 rs 2)20 Using the above optimal tableau determined by the simp...
Maximize:-x 3x2 subject to: + S8 (resource 1). -xx (resource 2). s6 (resource 3). xi20.x2 20. The optimal tableau determined by the simplex method is given below Current Basic variablesvax x x5 Using the above optimal tableau determined by the simplex method, determine i) the optimal solution. ii) the shadow prices on the three constraints ii the range on the objective coefficient ofeach variable, holding the coefficient of the other variable at its current value, for which the solution to...
S- In the optimal table of the simplex for the following linear programming problem x1, x3, are the basic variables. Min Z=-5X1+3X2+X3 X1+X2-X3<=10 X1+X2+X3<=60 What is the range for the first constraint right hand side for which the optimal table remains feasible? a. b. Is it profitable to increase a unit of resource for the 2nd constraint, if each unit of this resource is purchased for $2? What is the value of objective function and decision variables for this problem?...
Q4. (Sensitivity Analysis: Adding a new constraint) (3 marks) Consider the following LP max z= 6x1+x2 s.t.xi + x2 S5 2x1 + x2 s6 with the following final optimal Simplex tableau basis x1 r2 S2 rhs 0 0 18 0.5 0.5 0.5 0.5 x1 where sı and s2 are the slack variables in the first and second constraints, respectively (a) Please find the optimal solution if we add the new constraint 3x1 + x2 S 10 into the LP (b)...
1. Solving the linear programming problem Maximize z 3r1 2r2 3, subject to the constraints using the simplex algorithm gave the final tableau T4 T5 #210 1-1/4 3/8-1/812 0 0 23/4 3/8 7/8 10 (a) (3 points) Add the constraint -221 to the final tableau and use the dual simplex algorithm to find a new optimal solution. (b) (3 points) After adding the constraint of Part (a), what happens to the optimal solution if we add the fourth constraint 2+...
2. Consider the linear programm (a) Fill in the initial tableau below in order to start the Big-M Method tableau by performing one pivot operation. (6) The first tableau below is the tableau just before the optimal tableau, and the second one oorresponds to the optimal tableau. Fill in the missing entries for the second one. 1 7 56 M15 25 01 3/2 2 0 0 1/2 0 15/2 #310 0 5/2-1 o 1-1/2 0133/2 a1 a rhs (i) Exhibit...
UESTION 2 (TOTAL 13 MARKS a. Given the following initial simplex tableau 12 0 Sol asis CB 80 15 20 250 20 12 i. What variables form the basis? (1 mark) ii. What are the current values of the decision variables? (1 mark) iii. What is the current value of the objective function? (1 mark) iv. Which variable will be made positive next, and what will its value be? Which variable that is currently positive will become 0? (2 marks)...
You are given the following linear programming model in algebraic form, with X1 and X2 as the decision variables: Note: Each part is independent (i.e., any change made in one problem part does not apply to any other parts). Minimize 40X1+50X2 Subject to 2X1+3X2>=30 2 X1+ X2>=20 X1>=0, X2>=0 a) Graph the feasible region and label the corner point. Compute the optimal solution using any method of your choice. Justify your answer and indicate the optimal solution on your graph....
X1=130 and X2=0, optimal profit 32,500
Using the solver report and the sensitivity report
answer the question below. Please show your work:
Assume the marginal profit on the generators will
decrease by $25.00. Without solving the problem again, what is the
optimal profit for the company now?
We were unable to transcribe this imageDecision Variable Cells Final Reduced Objective Allowable Allowable Cell SCS4 Number to produce Generators SDS4 Number to produce Alternators Name Value Cost Coefficient Increase Decrease E+30 150.0000001...
1-5 ARE CORRECT. I DONT NEED HELP WITH 1-5 I NEED HELP WITH
6-10. SINCE THIS WHOLE THING IS CONNECTED I PROVIDED THE PREVIOUS
QUESTIONS TO HELP WITH 6-10. AGAIN I NEED 6-10
QUESTION 1 Using C and C2 to represent the objective coefficients of X1 and X2, respectively, the slope of a line for the objective function can be represented by OC Mo none of the above QUESTION 2 The slope of the line representing the equation part of...
Your problem will have exactly two variables (an X1 and an X2) and will incorporate a maximization (either profit or revenue) objective. You will include at least four constraints (not including the X1 ≥ 0 and X2 ≥ 0 [i.e., the “Non-negativity” or “Duh!”] constraints). At least one of these four must be a “≤” constraint, and at least one other must be a “≥” constraint; do not include any “= only” constraints. You must have a unique Optimal Solution...