Question

In: Operations Management

Every linear programming problem involves optimizing a: Select one: a. linear function subject to several linear...

Every linear programming problem involves optimizing a:

Select one:

a. linear function subject to several linear constraints

b. linear regression model subject to several linear constraints

c. linear function subject to several non-linear constraints

d. non-linear function subject to several linear constraints

Solutions

Expert Solution

The correct option is

a. linear function subject to several linear constraints

The linear programming may include minimization as well. Here is a sample model for linear programming.

aTx≤b or we can say a1x1+a2x2+a3x3

So here both linear function and linear constraints are presents.


Related Solutions

The objective of a linear programming problem is to maximize 1.50A + 1.50B, subject to 3A...
The objective of a linear programming problem is to maximize 1.50A + 1.50B, subject to 3A + 2B ≤ 600, 2A + 4B ≤ 600, 1A + 3B ≤ 420, and A,B ≥ 0. Using Lingo software determine the optimal product mix for this problem? (include Lingo output) Please use excel! Thanks!
Problem 1: For the following linear programming problem: ???????? ? = 40?1 + 50?2 Subject to...
Problem 1: For the following linear programming problem: ???????? ? = 40?1 + 50?2 Subject to constraints: 3?1 − 6?2 ≥ 30 ?1 – 15 ≤ 3?2 2 ?1 + 3 ?2 = 24 ?1, ?2 ≥ 0 1- Find the optimal solution using graphical solution corner points method or iso profit line method. Please, show the values for state variable, decisions variables, and slack and surplus variables 2- Determine the value for basic solution and non-basic solution, binding constraints...
Consider the following linear programming problem: Max Z =          3x1 + 3x2 Subject to:      ...
Consider the following linear programming problem: Max Z =          3x1 + 3x2 Subject to:       10x1 + 4x2 ≤ 60                   25x1 + 50x2 ≤ 200                   x1, x2 ≥ 0 Find the optimal profit and the values of x1 and x2 at the optimal solution.
Consider the following linear programming problem: Maximize 16X + 14Y Subject to: 3X + 4Y ≤...
Consider the following linear programming problem: Maximize 16X + 14Y Subject to: 3X + 4Y ≤ 520 3X + 2Y ≤ 320 all variable ≥ 0 The maximum possible value for the objective function is
Consider the following linear programming problem Maximize 6x1 + 4x2 + 5x3 Subject to: 2x1 +...
Consider the following linear programming problem Maximize 6x1 + 4x2 + 5x3 Subject to: 2x1 + 3x2 + x3 ≥ 30 2x1 + x2 + x3 ≤ 50 4x1 + 2x2 + 3x3 ≤ 120 x1, x2, x3 ≥ 0 a) Find the optimal solution by using simplex method b) Find the dual price for the first constraint. c) Find the dual price for the second constraint. d) Find the dual price for the third constraint. e) Suppose the right-hand...
Consider the following linear programming problem Maximize $4X1 + $5X2 Subject To 2X1 + 5X2 ≤...
Consider the following linear programming problem Maximize $4X1 + $5X2 Subject To 2X1 + 5X2 ≤ 40 hr Constraint A 3X1 + 3X2 ≤ 30 hr Constraint B X1, X2 ≥ 0 Constraint C if A and B are the two binding constraints. (Round to ONLY two digits after decimal points) a) What is the range of optimality of the objective function?   Answer ≤ C1/C2  ≤  Answer b) Suppose that the unit revenues for X1 and X2 are changed to $100 and...
Consider the following linear programming problem Maximize $4X1 + $5X2 Subject To 2X1 + 5X2 ≤...
Consider the following linear programming problem Maximize $4X1 + $5X2 Subject To 2X1 + 5X2 ≤ 40 hr Constraint A 3X1 + 3X2 ≤ 30 hr Constraint B X1, X2 ≥ 0 Constraint C if A and B are the two binding constraints. (Round to ONLY two digits after decimal points) a) What is the range of optimality of the objective function?   .......... ≤ C1/C2  ≤  ............ b) Suppose that the unit revenues for X1 and X2 are changed to $100 and...
Consider the following linear programming problem. min −x1 + 4x2 subject to: • x1 + x2...
Consider the following linear programming problem. min −x1 + 4x2 subject to: • x1 + x2 ≥ 1 • 3x1 + x2 ≤ .5 • x1, x2 ≥ 0 Formulate the dual of this problem.
Consider the following linear programming problem: Maximize 10X + 8Y Subject to: 40X + 24Y <=...
Consider the following linear programming problem: Maximize 10X + 8Y Subject to: 40X + 24Y <= 600 20X + 30Y <= 480 all variables >= 0
Formulate the situation as a linear programming problem by identifying the variables, the objective function, and...
Formulate the situation as a linear programming problem by identifying the variables, the objective function, and the constraints. Be sure to state clearly the meaning of each variable. Determine whether a solution exists, and if it does, find it. State your final answer in terms of the original question. A rancher raises goats and llamas on his 400-acre ranch. Each goat needs 2 acres of land and requires $100 of veterinary care per year, and each llama needs 5 acres...
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT