Which of the following is a valid objective function for a linear programming problem?
Lütfen birini seçin:
a. \(\operatorname{Min}\left(x_{1}+x_{2}\right) / x_{3}\)
b. Max \(5 \mathrm{xy}\)
c. \(\operatorname{Min} 4 x+3 y+(2 / 3) z\)
d. Max \(5 x^{2}+6 y^{2}\)
Question: Which of the following is a valid objective function for a linear programming problem?
Answer: Min 4x + 3y + (2/3)z
Snippets: The maximization or minimization of a objective function or a variable is the main objective of a linear programming. And the optimal value for an objective function will frequently be in a predicament of the feasible region, because this will be the maximum or minimum feasible value for the given objective function.
Which of the following is a valid objective function for a linear programming problem?
Problem on Linear programming and Simplex methodThe \(\ell_{1}\) norm of a vector \(v \in \mathbb{R}\) is defined by$$ \|v\|_{1}:=\sum_{i=1}^{n}\left|v_{i}\right| $$Problems of the form Minimize \(\|v\|_{1}\) subject to \(v \in \mathbb{R}^{n}\) and \(A v=b\) arise very frequently in applied math, particularly in the field of compressed sensing.Consider the special case of this problem whith \(n=3\),$$ A=\left(\begin{array}{lll} 1 & 1 & 0 \\ 3 & 0 & 1 \end{array}\right) \quad \text { and } \quad b=\left(\begin{array}{l} 3 \\ 8 \end{array}\right) $$(a) (3...
Find the indicated maximum or minimum value of the objective function in the linear programming problem. Maximize f - 30x + 40y subject to the following constraints. x + 2y = 48 x + y s 30 2x + y 50 x 20, y 20 Need Help? Read It Vatch It Talk to a Tutor -/12.5 POINTS HARMATHAP9 4.2.015.MI. EE Solve the following linear programming problem. Restrict x 20 and y 20. Maximize = 3x + 5y sub/ect to the...
Graphical Method of Linear Programming 3. Find the minimum value of the objective function z = 5x + 7y, where x = 0 and y 0, subject to the constraints a. 2x + 3y 26 b. -x + y S4 c. 3x-y = 15 d. 2x + 5y = 27.
Project Operations Management Linear Programming: Simplex Method Minimization: By converting the min objective function to max, solve the following problem using simplex method Min 84x, + 4x2 + 30x3 s.. 8x1 + 1x2 + 3x3 S 240 16x, + 1x2 + 7x3 = 480 8x, - 1x2 + 4x3 > 160 X1, X2, X3 2 0
Which of the following formulas is a deviation-minimizing objective function for a goal programming problem? O Min (d,d)
Solve the given linear programming problem using the simplex method. If no optimal solution exists, indicate whether the feasible region is empty or the objective function is unbounded. (Enter EMPTY if the feasible region is empty and UNBOUNDED if the objective function is unbounded.) Minimize c = x + y + z + w subject to x + y ≥ 80 x + z ≥ 60 x + y − w ≤ 50 y + z − w ≤ 50...
For the following linear programming problem a. change to standard for; b. use graphical approach to find complete optimal solutions(X, Y and optimal objective function value) Max 5X+6Y s.t. 3X+Y <= 15 X+2Y <= 12 3X+2Y <= 24 X, Y >= 0
In Exercises 3 and 4 we give the original objective function of a linear program- ming problem and the final tableau at the end of Phase 1. Find the initial tableau for Phase 2 and solve the resulting linear programming problem. 4. Maximize z = 3x 1 + x2 + 3x3. Ху 0 0 0-1 010 0 x1 -2 0 In Exercises 3 and 4 we give the original objective function of a linear program- ming problem and the final...
3. Consider the linear programming problem with objective function Q = 4x – 3y and constraints: 9x + 4y > 180, 3x + 8y > 120, 0 < x < 35, y > 0. Graph all constraints and show the feasible region and all corner points. Can the objective function be maximized? If so, find the maximum value of Q.
QUESTION 15 3 p The objective of a linear programming problem is to maximize 1.50X + 1.50Y, subject to 3X + 2Y = 600, 2X +4YS 600, and X,Y 2 0. What is the optimal (best) value of the objective function, subject to the constraints and rounded to the nearest whole number? 225 300 338 425 500