The point in the feasible region is
x=-1 , y =1
It satisfies both the given constraints
14x+6y = -14+6 = -8 <42
x-y = -1-1 = -2 < 3
For the following constraints, which point is in the feasible solution space of this maximization problem?...
Given the following 2 constraints, which solution is a feasible solution for a maximization problem? (1) 14x1 + 6x2 ≤ 42 (2) x1 – x2 ≤ 3 Group of answer choices a. (x1, x2 ) = (2,1) b. (x1, x2 ) = (1,5) c. (x1, x2 ) = (5,1) d. (x1, x2 ) = (4,4) e. (x1, x2 ) = (2,6)
For Questions 1, consider the following classifications: Feasible Region I- Finite Line Segment II -Non-existent III - Polygon IV-Single Point V - Unbounded Optimal Solution A -Alternate Optima B-No feasible solution C- Unbounded D-Unique 1. Suppose an LP with 5 regular constraints (other than the non-negativity constraints) has "lr as its feasible region. If a new constraint is added, which of the following CANNOT be the type of the new optimal solution? a, A b. В с. С d. De,...
(1 point) Consider the following maximization problem. Maximize P = 9x1 + 7x2 + x3 subject to the constraints 13x1 x1 - x2 + 6x2 + - 10x3 12x3 = = 20 56 xi 20 x2 > 0 X3 > 0 Introduce slack variables and set up the initial tableau below. Keep the constraints in the same order as above, and do not rescale them. P X X2 X3 S1 RHS
Consider the following optimal tableau of a maximization problem where the constraints are of the s type. (Initial basis consisted of the columns corresponding to the slack variables in order shown) SLACK 0 2 0-2-1/10 2 0 1 01/21/5-1 0 1/2 0 0 0 0 1 1 25-3/10 2 a. Find the optimal objective function value, as well as the value of 0. b. Would the solution be altered if a new activity x, with coefficients (2,0,3) in the constraints,...
7: Problem 2 Previous Problem List Next 0 of the differential equation (1 point) Find the indicated coefficients of the power series solution about x (22 — х + 1)у" — у -Ту%3D0, y(0)= 0, y (0) -5 у%3 -5х+ Note: You can earn partial credit on this problem. 7: Problem 2 Previous Problem List Next 0 of the differential equation (1 point) Find the indicated coefficients of the power series solution about x (22 — х + 1)у" —...
5. Suppose that (x1, X2, X3) is a feasible solution to the linear programming problem 4r, +2x2 + x3 minimize X12 3, 2a 23 2 4, subject to Let y and ybe non-negative numbers (a) Show that x1(y2y2)2(-y12) + x3y2 2 3y14y2 1 (b) Find constraints on yi and y2 so that 4x12 2 x1(y1 + 2¥2) + x2(-y1 + Y2) + x3Y2 1 at every feasible solution (xi, x2, X3) (c) Use parts (a) and (b) to find a...
3. Consider the following production problem Maximize 10r 12r2 20r, subject to the constraints xi +x2 +x3 10. ri + 2r2 +3rs 3 22, 2x1 2a2 +4x3 S 30 120, x2 20, 0 (a) (2 points) Solve the problem using the simplex method. Hint: Check your final tableau very carefully as the next parts will depend on its correct- ness. You will end up having 1, 2, r3 as basic variables. (b) (6 points) For1,2, and 3, determine the admissible...
Consider the simplex tableau for a maximization problem shown. Provide a particular solution for the given tableau. 1 0 -6 1 -2 0 2 2 1 5 0 0 0 1 4 8 32 5 0 18 1 Maximum z= at the point when Xi = X2 = , and X3 =
Your problem will have exactly two variables (an X1 and an X2) and will incorporate a maximization (either profit or revenue) objective. You will include at least four constraints (not including the X1 ≥ 0 and X2 ≥ 0 [i.e., the “Non-negativity” or “Duh!”] constraints). At least one of these four must be a “≤” constraint, and at least one other must be a “≥” constraint; do not include any “= only” constraints. You must have a unique Optimal Solution...
In the final profit maximizing solution for the problem, which constraint(s) has(have) a slack/surplus variable(s) equal to zero? Given the following LP, answer questions 9-14 Z 10x+7x Maximize Subject to: 5x+3x15 2x1+3x22 12 x2 х, хз 20 Con 1 Con 2 Con 3 3 2 4 5 10 X1 Both constraints # 1 and # 2 Constraint #1 Constraint #2 Constraint #3 None of the above гоо How many surplus variables would appear in the standard formulation of the problem?...