For an objective function z ax+by
WebCorrect 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 … WebExpert Answer. Let R be the feasible region (convex polygon) 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, a. optimal value must occur at the midpoints of the corner points ...
For an objective function z ax+by
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WebLet Z = ax + by is a linear objective function. Variables x and y are called ……… variables.A. IndependentB. DecisionC. ContinuousD. Dependent. Study Materials. … WebZ = 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 …
WebExample 1: Given the objective function P x y= −10 3 and the following feasible set, A. Find the maximum value and the point where the maximum occurs. B. Find the minimum value and the point where the minimum occurs. Solution: We can see from the diagram that the feasible set is bounded, so this problem will have WebSep 8, 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, …
WebIn 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 - Mathematics. Advertisement Remove all ads. Advertisement Remove all … WebSep 24, 2024 · In a LPP if the objective function Z = ax + by has the same maximum value on two corner points of the feasible region, asked Sep 24, 2024 in Linear Programming …
WebIn 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.
WebObjective Functions: z = ax + by, where a and b are to be maximized or minimized depending upon the condition. Common terminologies used in Linear Programming: Decision variables: x and y are the decision variables in an objective function. Non-negative constraints: These are the conditions x, y ≥ 0 are called non negative constraints. inspiron 23 5348 specsWebObjective 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 … jetmaster fireplace sizesWebSubstituting 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 ... jetmaster 700 gas fireplaceWebIn 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 maximum value. Solve any question of … inspiron 24 3459 specsWebJan 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 … inspiron 23 model 5348 touchscreen failureWebMar 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 … inspiron 24 3455 power adapterWebIn 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 … jetmaster gas fireplace instructions