Question

In: Statistics and Probability

Write the following linear optimization problem in standard form. Maximize 2x + y Subject to        ...

Write the following linear optimization problem in standard form.

Maximize 2x + y

Subject to

        x + y > 2

     3x + 4y < 12

          x, y > 0

Solutions

Expert Solution

Please like ?


Related Solutions

Given the following linear optimization problem Maximize 10x + 20y Subject to x + y <...
Given the following linear optimization problem Maximize 10x + 20y Subject to x + y < 50 2x + 3y < 120 x > 10 x, y > 0 (a) Graph the constraints and determine the feasible region. (b) Find the coordinates of each corner point of the feasible region. (c) Determine the optimal solution and optimal objective function value.
Questions 1 relate to the following constrained optimization problem: maximize z(x,y)=4x^2-2xy+6y^2 subject to x+y=72. subject to...
Questions 1 relate to the following constrained optimization problem: maximize z(x,y)=4x^2-2xy+6y^2 subject to x+y=72. subject to . A) What is the optimal value of X? B) What is the optimal value of Y? C) What is the maximized value of Z?
Maximize p = 2x + 7y + 5z subject to x + y + z ≤...
Maximize p = 2x + 7y + 5z subject to x + y + z ≤ 150 x + y + z ≥ 100 x ≥ 0, y ≥ 0, z ≥ 0. P= ? (x, y, z)= ?
Maximize 250 + 7x − 5y subject to: 2x + 3y ≤ 90 2x+ y≤62 x+...
Maximize 250 + 7x − 5y subject to: 2x + 3y ≤ 90 2x+ y≤62 x+ y≥20 x ≥ 0, y ≥ 0
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...
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!
7-31 Consider the following LP problem: Maximize profit=5X+6Y subject to2X+Y≤120, 2X+3Y≤240X,Y≥0 What is the optimal solution...
7-31 Consider the following LP problem: Maximize profit=5X+6Y subject to2X+Y≤120, 2X+3Y≤240X,Y≥0 What is the optimal solution to this problem? Solve it graphically. If a technical breakthrough occurred that raised the profit per unit of X to $8, would this affect the optimal solution? Instead of an increase in the profit coefficient X to $8, suppose that profit was overestimated and should only have been $3. Does this change the optimal solution? 7-32 Consider the LP formulation given in Problem 7-31....
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT