In Exercises 9-20, use the simplexmethod to solve the given linearprogramming problem. (In eachcase the objective functionis to be maximized.)12. Objective function:2 = x₁ - x₂ + 2x3Constraints:2x₁ + 2x₂ ≤ 8X3 ≤5X1, X₂, X3 ≥0

Given LP- Max Z = x1 - x2 + 2x3Subject to-2x1 + 2x2≤8x3≤5x1,x2,x3≥0

Answered: In Exercises 9-20, use the simplex…

Practical Management Science

6th Edition

ISBN:9781337406659

Author:WINSTON, Wayne L.

Publisher:WINSTON, Wayne L.

Chapter7: Nonlinear Optimization Models

Section: Chapter Questions

Problem 63P

See similar textbooks

Similar questions

4 For each of the following, determine the direction in which the objective function increases: a z = 4x, - x2 b z = -x, + 2x2 C z = -x - 3x2
Consider the linear program max 4y_{1} + 5y_{2} s.t. - y_{1} + y_{2} <= 4 y_{1} - y_{2} <= 10 y_{1}, y_{2} >= 0 (a) Show graphically that the model is unbounded.
STAR Co. provides paper to smaller companies whose volumes are not large enough to warran paper rolls from the mill and cuts the rolls into smaller rolls of widths 12, 15, and 30 feet. The cutting patterns have been established: 1 2 Pattern 12ft. 15ft. 30ft. Trim Loss 0 4 1 10 ft. 3 0 7 ft. 8 0 0 4 ft. 2 1 2 1 ft. 5 2 3 1 1 ft. Trim loss is the leftover paper from a pattern (e.g., for pattern 4, 2(12)+1(15) + 2(30) = 99 hand for the coming week are 5,670 12-foot rolls, 1,680 15-foot rolls, and 3,350 30-foot rolls. hand will be sold on the open market at the selling price. No inventory is held. Number of: 3
Consider an ARIMA(2,1,1) process. Write out the resulting model usinga. Backshift notation with the backshift operator B.b. Backshift notation with the operatorc. No backshift notation
minimize Z = 5x1 + x2 subject to 3x1 + 4x2 = 24 0 x1 x1 + 3x2
a. Which of the following best describes the meaning of the equation P(25) = 200? 1. When 200 calculators are sold, the profit is $25. II. When 200 calculators are sold, the profit is increasing at a rate of $25 per additional calculator III. When 25 calculators are sold, the profit is $200. IV. When 25 calculators are sold, the profit is increasing at a rate of $200 per additional calculato
Can the function f (x) = - x2 + 3x +2 be maximized?
For minimization linear programming problem, the simplex method is terminated when all values of: a. Z (NB) s0 Ob. None of them Z (NB) = 0 Z (NB) 2 0
Recall the production model: Max Max s.t. s.t. 10x Suppose the firm in this example considers a second product that has a unit profit of $5 and requires 2 hours of labor time for each unit produced. Use y as the number of units of second product produced. (a) Show the mathematical model when both products are considered simultaneously. 5x ≤ 40 x ≥ 0 x ≥ 0, y ≥ 0
Q) The sin() function can be evaluated by the following infinite series: x3 sin x = x - 3! 5! Create an M-file to implement this formula so that it computed and displays the values of sin(x) as each term in the series is added up to fifteenth order. For each step, compute and display the percent relative error as following: true – series approximation %error x 100% true
Solve the following linear programming problem. Maximize: z=6x + 14y subject to: 7x+3y ≤21 9x+y≤21 x20, y 20 The maximum value is The maximum occurs at the point (Type an ordered pair. If the maximum occurs at more than one point, type either answer. Type an integer or a fraction.)
Is 600 the value of the objective function?

SEE MORE QUESTIONS

Recommended textbooks for you

Practical Management Science

Operations Management

ISBN:

9781337406659

Author:

WINSTON, Wayne L.

Publisher:

Cengage,

Practical Management Science

Operations Management

ISBN:

9781337406659

Author:

WINSTON, Wayne L.

Publisher:

Cengage,

SEE MORE TEXTBOOKS

In Exercises 9-20, use the simplex method to solve the given linear programming problem. (In each case the objective function is to be maximized.) 12. Objective function: 2 = x₁ - x₂ + 2x3 Constraints: 2x₁ + 2x₂ ≤8 X3 ≤5 X₁, X₂, X30