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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
Pearson eText for Finite Mathematics & Its Applications -- Instant Access (Pearson+)
- Example 12.5. Find the maximum value of Z = 2x + 3y subject to the constraints: x + y ≤ 30, y ≥ 3,0 ≤ y ≤ 12, x-y≥0, and 0≤x≤ 20.arrow_forwardFormulate an equivalent linear program for the following model: max min{2x3 – 1,4 – |¤1 – x2|l} – max{5x2, 3x3 – |¤1 – x2|} s.t. 5x1 + 2x2 0.arrow_forward1. . 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_forward
- Find the maximum and the minimum values of the linear function F = 210x – 125y subject to the constraints given in the previous problem.arrow_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_forwardMinimize 2x + 4y, subject to the constraint 82 – 4x – 3y = 0. The minimum value of the function is (Type an exact answer in simplified form.)arrow_forward
- An experiment involving learning in animals requires placing white mice and rabbits into separate, controlled environments: environment I and environment II. The maximum amount of time available in environment I is 420 minutes, and the maximum amount of time available in environment II is 600 minutes. The white mice must spend 10 minutes in environment I and 25 minutes in environment II, and the rabbits must spend 12 minutes in environment I and 15 minutes in environment II. Find the maximum possible number of animals that can be used in the experiment and find the number of white mice and the number of rabbits that can be used. number of animals = ?number of white mice = ?number of rabbits = ?arrow_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_forwardIn Problems 55–62, determine, without graphing, whether the given quadratic function has a maximum value or a minimum value, andthen find the value.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_forward1. . Solve the following linear programming model graphically: minimize Z = 3x, + 6x2 pubject to 3x1 + 2x2 s 18 X1 + x2 2 5 X2 s7 X2/x, s 7/8 X1, X2 0arrow_forwardQUESTION 14 Calculate the maximum value of 9x + 6y subject to the constraints below: 2x + 2y s 18 x + 3y s 20 y21 x20arrow_forward
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