In Exercises 1–4, write each linear programming problem as a maximization problem with all inequalities (except
Maximize
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Finite Mathematics & Its Applications (12th Edition)
- Find the indicated maximum or minimum value of f subject to the given constraint.arrow_forwardYou are given the ILP model below: Мaximize Z = -3x1 + 5x2, subject to 5x1 – 7x2 > 3 and X; < 3 X; 2 0 X; is integer, for j = 1, 2. Convert the ILP model above into a BIP model. TIP: You will need to perform the necessary analysis on the constraints to determine the maximum value, u.arrow_forwardb) Consider the following linear program: Maximize: z =x + 3x. + 2x + 2x. subject to: x + 2x: + x + 3x. + x = 6 -2х. +х, + 3x. -х. +х, + 2х. - X. 6 = 4 with: all variables nonnegative How may basic variables does the problem has? Give an example of variables which can not form a set of basic variables together. Give reasons. i) ii) iii) Write one degenerate basic feasible solution.arrow_forward
- In Exercises 17–24, describe the sets of points in space whose coordinates satisfy the given inequalities or combinations of equations and inequalities.arrow_forwardSolve the following linear programming graphically [8]Minimize and maximize: z = 3x + 9ySubject to the constraints:x + 3y ≥ 6x + y ≤ 10x ≤ yx ≥ 0; y ≥ 0arrow_forwardSolve the following linear programming model graphically.arrow_forward
- 4.3 EQuestion Determine the number of slack variables and name them. Then use the slack variables to convert each constraint into a linear equation. Maximize: z=9x, +3x2 subject to: How many slack variables are needed? 7x1 - X2 s 124 12x, +6x, 209 14x, + X, s 320 X1 20, x, 2 0 Enter your answer in the answer box and then click Check Answer. Check Answer Clear All parts remaining OK L e to searcharrow_forwardb) Consider the following linear program: Maximize: z=x. + 3x. + 2x + 2x. subject to: x + 2x. +x. + 3x. + x. + X. +X = 6 -2х +x + 3х. = 6 -х. +х + 2х. with: all variables nonnegative ii) Give an example of variables which can not form a set of basic variables togethe:. Give reasons. iii) Write one degenerate basic feasible solution. I||| |arrow_forwardPlease formulate a linear programming model for the given problem. Thank you.arrow_forward
- Algebra & Trigonometry with Analytic GeometryAlgebraISBN:9781133382119Author:SwokowskiPublisher:Cengage