7–12For each of the linear programming problems in Exercises 1–6,
Maximize
(a) Set up the initial simplex tableau.
(b) Determine the particular solution corresponding to the initial tableau.
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Chapter 4 Solutions
Finite Mathematics & Its Applications (12th Edition)
- .4.3 Maximize 72 + x2 +xy-8y, subject to the constraint 8-x-2y 0. The maximum value of 72+x2 + xy-8y subject to the constraint 8-x-2y 0 is. (Type an exact answer in simplified form.) Enter your answer in the answer box and then click Check Answer. All parts showing Clear Allarrow_forwardQUESTION 14 Calculate the maximum value of 4x + 6y subject to the constraints below: 3x + y ≤ 16 x + 3y ≤ 16 y≥ 1 x ≥ 0arrow_forward[3.7] Consider the following linear programming problem: Maximize 2x₁ + x2 subject to 2x₁ + x2 XI + 4x2 XI, X2, x3 + 4x3 ≤ 6 X3 ≤ 4 X3 ≥ 0. -arrow_forward
- Consider the following integer nonlinear programming problem. Маximize Z = xx3x3, XX2X3 , subject to X1 + 2x2 + 3x3< 10 x121, x 2 1, xz 2 1, and X1, X2, X3 are integers. Use dynamic programming to solve this problem. Please show your steps (show your tables).arrow_forwardGlenmont Corporation wants to select 1 project from a set of 4 possible projects. Which of these constraints ensures only 1 project is selected? X1 + X2 + X3 + X4 ≥ 0 X1 + X2 + X3 + X4 ≥ 1 X1 + X2 + X3 + X4 = 1 X1 + X2 + X3 + X4 ≤ 1arrow_forwardQ6// If we use the method of linear transformations to solve the fractional linear programming problems of the mathematical model below, would the ?optimal solution be 1.62 3x, +3x, +2x; +1 2x, +x, +.X; +1 MaxZ = S.t. 2.x, +5x, +x; < 2 Xị +2x, +3.x; < 3arrow_forward
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- 1. . Solve the following linear programming model graphically: minimize Z = 3x, + 6x2 pubject to 3x, + 2x2 s 18 X + x2 2 5 X S 4 x2/x, s 7/8 X1, X2 0arrow_forwardWrite a relevant non negative integer value for *K* such that the problem remains feasible and the constraints 3 becomes redundant. A relevent value for *K*=?arrow_forwardShow that following problem is a convex programming problem and use the KKT conditions to find the optimal solution. Maximize f(x,,x,) = 24x, – xỉ +10x, -x subject to X54 and x, 2 0, x, 20arrow_forward
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