Question

14) Consider the following linear programming model Mina 2X1 3X2 X3 Subject to: X1 X2 5X3 24 X1 X322 X1 X2 3X3 1 X1, X2, X3 2 0 Consider the solution (X1 1, x2 3, x3 1). At this solution, how many of the constraints are binding? A) 1 B) 2 C) 3 D) 4 E) 5
0 0
Add a comment Improve this question Transcribed image text
Answer #1

Since there are theree variables, X1,X2,X3, there should be 3 constraints.

The correct option is C.

Add a comment
Know the answer?
Add Answer to:
Consider the following linear programming model Min 2X_1 + 3X_2 + X3 Subject to: X_1 +...
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for? Ask your own homework help question. Our experts will answer your question WITHIN MINUTES for Free.
Similar Homework Help Questions
  • ALGORITHM DESIGN Write the following LP in standard form. max x_1 + 3x_2 + 2x_3 s.t....

    ALGORITHM DESIGN Write the following LP in standard form. max x_1 + 3x_2 + 2x_3 s.t. x_1 - x_2 + 2x_3 lessthanorequalto 5 2x_1 - x_2 lessthanorequalto 0 2x_2 + x_3 lessthanorequalto 5 x_1, x_2, x_3 greaterthanorequalto 0 (b) Write the Dual LP of the LP of part (a).[Use the usual dual format, that is, min{b^T y : A^T y greaterthanorequalto c, y greaterthanorequalto 0}.] (c) Run the simplex algorithm to obtain the optimal solution to the primal.

  • Consider the following linear programming model Max          2X1 + 3X2 Subject to:                   X1 + X2 &n

    Consider the following linear programming model Max          2X1 + 3X2 Subject to:                   X1 + X2                   X1 ≥ 2                   X1, X2  ≥  0 This linear programming model has: A. Infeasible solution B. Unique solution C. Unbounded Solution D. Alternate optimal solution E. Redundant constraints

  • Consider the following linear programming model: Max X1 + X2 Subject to: X1 + X2 ≤...

    Consider the following linear programming model: Max X1 + X2 Subject to: X1 + X2 ≤ 2 X1 ≥ 1 X2 ≥ 3 X1, X2 ≥ 0 This linear programming model has a(n). A. Unbound solution B. Infeasible solution C. Redundant constraint D. Alternate optimal solution

  • Kindly use excel solver to solve the following linear programming problem. Solve the following model: Min...

    Kindly use excel solver to solve the following linear programming problem. Solve the following model: Min X^2 - 10 X + Y^2 - 6 Y + 34 subject to only non-negativity constraints. X Y Objective Function Value = Solve the model again with the additional constraints: X^2 - 8 X + Y^2 - 3 Y + 1020 <= 1111 (Constraint #1) 2X + 5 Y <= 15 (Constraint #2) together with non-negativity constraints. X Y Objective Function Value = LHS...

  • 5. Suppose that (x1, X2, X3) is a feasible solution to the linear programming problem 4r,...

    5. Suppose that (x1, X2, X3) is a feasible solution to the linear programming problem 4r, +2x2 + x3 minimize X12 3, 2a 23 2 4, subject to Let y and ybe non-negative numbers (a) Show that x1(y2y2)2(-y12) + x3y2 2 3y14y2 1 (b) Find constraints on yi and y2 so that 4x12 2 x1(y1 + 2¥2) + x2(-y1 + Y2) + x3Y2 1 at every feasible solution (xi, x2, X3) (c) Use parts (a) and (b) to find a...

  • Problem #5 -- Consider the following linear programming problem: Maximize Z = 2x1 + 4x2 +...

    Problem #5 -- Consider the following linear programming problem: Maximize Z = 2x1 + 4x2 + 3x3 subject to: X1 + 3x2 + 2x3 S 30 best to X1 + x2 + x3 S 24 3x1 + 5x2 + 3x3 5 60 and X120, X220, X3 2 0. You are given the information that x > 0, X2 = 0, and x3 >O in the optimal solution. Using the given information and the theory of the simplex method, analyze the...

  • Consider the following linear programming problem.

    Consider the following linear programming problem. Maximize p = 5x + 7y subject to the constraints 3x + 8y ≤ 1 4x - 5y ≤ 4 2x + 7y ≤ 6 x ≥ 0, y ≥ 0 Write the initial simplex tableau. 

  • Consider the following linear programming problem Manimize $45X1 + $10X2 Subject To 15X1 + 5X2 2...

    Consider the following linear programming problem Manimize $45X1 + $10X2 Subject To 15X1 + 5X2 2 1000 Constraint A 20X1 + 4X2 > 1200 Constraint B X1, X2 20 Constraint C if A and B are the two binding constraints. a) What is the range of optimality of the objective function? 3 C1/C2 s 5 b) Suppose that the unit revenues for X1 and X2 are changed to $100 and $15, respectively. Will the current optimum remain the same? NO...

  • Consider the following linear programming model. Formulate an equivalent model with one less constraint ( other...

    Consider the following linear programming model. Formulate an equivalent model with one less constraint ( other than the constraints of non-negativity). Max 7x + 5y Constraints 4x +   3 y <= 2400                       2x + 0.5y <= 750                         x              >= 100       x,y >= 0

  • 3. Consider the following linear programming problem: Maximize 10X + 12Y Subject to: 8X + 4Y...

    3. Consider the following linear programming problem: Maximize 10X + 12Y Subject to: 8X + 4Y ≤ 840 2X + 4Y ≤ 240 X, Y ≥ 0 Graph the constraints and shade the area that represents the feasible region. Find the solution to the problem using either the corner point method or the isoprofit method. What is the maximum feasible value of the objective function?

ADVERTISEMENT
Free Homework Help App
Download From Google Play
Scan Your Homework
to Get Instant Free Answers
Need Online Homework Help?
Ask a Question
Get Answers For Free
Most questions answered within 3 hours.
ADVERTISEMENT
ADVERTISEMENT