Question

Each constraint in a linear programming model must contain the equality sign (“<=”, “>=”, or “=”)....

Each constraint in a linear programming model must contain the equality sign (“<=”, “>=”, or “=”).

Select one:

True

False

Homework Answers

Answer #1

Answer: True

Explanation:

While solving the linear programing problem it is neccessay to have equality (=) constraints.

Since only equality constraints are treated in standard linear programming, the inequalities Axb or Axb must be converted to equalities.But the constraints like Ax < b or Ax > b can not be converted to equalities.

Hence Each constraint in a linear programming model must contain the equality sign (“<=”, “>=”, or “=”). This is True

Know the answer?
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
Similar Questions
Consider the following linear programming model with 4 regular constraints: Maximize 3X + 5Y subject to:...
Consider the following linear programming model with 4 regular constraints: Maximize 3X + 5Y subject to: 4X + 4Y ≤ 48 (constraint #1) 2X + 3Y ≤ 50 (constraint #2) 1X + 2Y ≤ 20 (constraint #3) Y ≥ 2 (constraint #4) X, Y ≥ 0 (non-negativity constraints) (a) Which of the constraints is redundant? Constraint #____. Justify using the data from the above LP model: ________________________________________________________________________ ________________________________________________________________________ ________________________________________________________________________ (b) Is solution point (10,5) a feasible solution? _____. Explain using...
The following is the mathematical model of a linear programming problem for profit: Maximize Z =...
The following is the mathematical model of a linear programming problem for profit: Maximize Z = 2X1 + 3X2 subject to: 4X1 + 9X2 ≤ 72 10X1 + 11X2 ≤ 110 17X1 + 9X2 ≤ 153 X1 , X2 ≥ 0 The constraint lines have been graphed below along with one example profit line (dashed). The decision variable X1 is used as the X axis of the graph. Which of the following gives the constraint line that cuts the X2...
Consider the following linear programming model MAX 100 C + 80 S C <= 20 S...
Consider the following linear programming model MAX 100 C + 80 S C <= 20 S - C >= 10 C , S >= 0 The feasible region is shaded. At the optimal solution, the objective function value is 5,200 What is the maximum allowable increase in the RHS of the constraint C <= 20 ?
If a problem is referred to as a linear programming problem, what must be true? A)...
If a problem is referred to as a linear programming problem, what must be true? A) the objective function must be linear B) both the objective function and the constraints must be linear C) the constraints must be linear D) the decision variables must be linear Three essential elements of a linear programming formulation are the: A) decision variables, feasibility, constraints B) constraints, objective function, non-negativity C) decision variables, objective function, constraints D) objective function, constraints, solution When constraints identify...
** Linear Programming ** Max Z = 6x1 + 10x2+9x3 + 20x4 constraint 4x1 + 9x2...
** Linear Programming ** Max Z = 6x1 + 10x2+9x3 + 20x4 constraint 4x1 + 9x2 + 7x3 + 10x4 = 600 x1 + x2+3x3 + 40x4= 400 3x1 + 4x2 + 2x3 + x4 = 500 x1,x2,x3 ,x4 ≥ 0 Find the allowable decrease and increase for x4.
1) Constraints limit the degree to which the objective can be pushed in linear programming. As...
1) Constraints limit the degree to which the objective can be pushed in linear programming. As a manager, how do you know which constraints are proper to use in your decision model? Describe a basic situation and give an example of a constraint you are able to identify. 2) What role does feasibility play in linear programming, in your opinion?
Solve the following linear programming model by using the graphical method: graph the constraints and identify...
Solve the following linear programming model by using the graphical method: graph the constraints and identify the feasible region. Using the corner points method, determine the optimal solution (s) (show your work). Maximize Z = 6.5x1 + 10x2 Subject to x1 + x2 ≤ 15 2x1 + 4x2 ≤ 40 x1 ≥ 8 x1, x2 ≥ 0 b. If the constraint x1 ≥ 8 is changed to x1 ≤ 8, what effect does this have on the optimal solution? Are...
1. What type of mathematical description can NOT refer to the linear regression model Select one...
1. What type of mathematical description can NOT refer to the linear regression model Select one or more: a. a linear equation b. a sytem of linear equations c. a collection of random variables d. a sytem of an equation and inequalities 2. Linear regression is the most complicated form of regression. Select one: True False 3. What type of regression is this? Fast and easy to model and is particularly useful when the relationship to be modeled is not...
Suppose that in a linear programming model, all resources have been paid for. Then at the...
Suppose that in a linear programming model, all resources have been paid for. Then at the optimal solution the shadow price (dual value) represents The minimum amount you would pay for one more unit of resource The maximum amount you would pay for one more unit of resource The exact amount you would pay for one more unit of resource The cost of one more unit of resource None of the above
Why does a linear programming model require an objective function and constraints? Why do we need...
Why does a linear programming model require an objective function and constraints? Why do we need to do sensitivity analysis in solving a linear optimization problem?
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT