For an objective function z ax+by
WebLet Z = ax + by is a linear objective function. Variables x and y are called decision variables. Suggest Corrections. 2. Similar questions. Q. The linear inequalities or equations or restrictions on the variables of a linear programming problem are called..... The conditions x ≥ 0, y ≥ 0 are called..... WebMay 22, 2024 · Fundamental Theorems for Solving Linear Programming. Theorem 1: Let R be the feasible region for a linear programming problem and let z = ax + by be the objective function. When z has an optimal value (maximum or minimum), where the variables x and y are subject to constraints described by linear inequalities. This optimal value must occur …
For an objective function z ax+by
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WebMar 17, 2024 · In a LPP, if the objective function Z = ax + by has the same maximum value on two comer points of the feasible region, then the number of points at which Zmax occurs is infinite.. Option (d) is correct.. In a LPP, if the objective function Z = ax + by has the same maximum value on two comer points of the feasible region, every point on the … WebSubstituting the above values in the objective function Z= 40x + 15y we get, Z= 0 for (0,0) Z= 2800 for (70,0) Z= 2050 for (40,30) Z= 750 for (0,50) Hence the maximum value of Z occurs at (70,0) and the minimum value of Z occurs at (0,0). To learn more about Graphical Method of Solving Linear Programming Problems and other related topics on ...
WebMar 29, 2024 · For an objective function 𝑍 = 𝑎𝑥 + 𝑏𝑦, where 𝑎, 𝑏 > 0; the corner points of the feasible region determined by a set of constraints (linear inequalities) are (0, 20), … WebOct 22, 2024 · In an LPP, if the objective function Z = ax + by has the same maximum value on two corner points of the feasible region, then the number of points of …
WebObjective function is prominently used to represent and solve the optimization problems of linear programming. The objective function is of the form Z = ax + by, where x, y are the decision variables. The function Z = ax + by is to be maximized or minimized to find the … WebTheorem 2 Let R be the feasible region for a linear programming problem, and let Z = ax + by be the objective function. If R is bounded, then the objective function Z has both a maximum and a minimum value on R and each of these occurs at a corner point (vertex) of R. If the feasible region is unbounded, then a maximum or a minimum may not exist.
WebLet Z = ax + by is a linear objective function. Variables x and y are called ……… variables.A. IndependentB. DecisionC. ContinuousD. Dependent. Study Materials. …
WebMar 28, 2024 · Transportation Problem: In these problems, we have to find the cheapest way of transportation by choosing the shortest route/optimized path. Some commonly … may have this danceWebSep 9, 2024 · In a LPP, if the objective function Z = ax + by has the same maximum value on two comer points of the feasible region, then every point on the line segment joining these two points gives the same maximum value. ← Prev Question Next Question →. Find MCQs & Mock Test ... may have to be meaningWebIn a LPP if the objective function Z = ax + by has the same maximum value on two corner points of the feasible region, then every point on the line segment joining these two points give the same _____ value. Medium. View solution > The feasible region for an LPP is shown in Fig. 12.13. may + have + past participleWebJan 19, 2024 · Step 1: Find the feasible region of the linear programming problem and find its corner points by solving the formed two equations of the lines intersecting at that point. Step 2: Determine the objective function … herts \u0026 middlesex 1WebCorrect Answer: optimal value must occur at a corner point (vertex) of the feasible region. Q.7) Let R be the feasible region for a linear programming problem, and let Z = ax + by be the objective function. If R is bounded, then. the objective function Z … may have something to do withWebIn a LPP, if the objective function Z=a x+b y has the same maximum value on two corner points of the feasible region, then every point on the line segment joining these two … herts \u0026 essex recyclingWebSep 24, 2024 · Maximum value of the objective function Z = ax + by in a LPP always occurs at only one corner point of the feasible region. asked Sep 24, 2024 in Linear … herts \u0026 essex window doctor