The software output for this problem is:
Hence,
x = 0
y = 7
G = 21
Solve the linear programming programing by graphing and then determining which vertex minimizes the objective function...
Graphical Method of Linear Programming 3. Find the minimum value of the objective function z = 5x + 7y, where x = 0 and y 0, subject to the constraints a. 2x + 3y 26 b. -x + y S4 c. 3x-y = 15 d. 2x + 5y = 27.
Find the indicated maximum or minimum value of the objective function in the linear programming problem. Maximize f - 30x + 40y subject to the following constraints. x + 2y = 48 x + y s 30 2x + y 50 x 20, y 20 Need Help? Read It Vatch It Talk to a Tutor -/12.5 POINTS HARMATHAP9 4.2.015.MI. EE Solve the following linear programming problem. Restrict x 20 and y 20. Maximize = 3x + 5y sub/ect to the...
3. Consider the linear programming problem with objective function Q = 4x – 3y and constraints: 9x + 4y > 180, 3x + 8y > 120, 0 < x < 35, y > 0. Graph all constraints and show the feasible region and all corner points. Can the objective function be maximized? If so, find the maximum value of Q.
II. UU. Solve the linear programming problem by the method of corners. Minimize C = 2x + 3y subject to 4x + y 2 38 2x + y 2 30 x + 3y = 30 * 20, y = 0 The minimum is C = s at (x, y) = Need Help? Watch It Talk to a Tutor
6. [-14 Points] DETAILS TANAPMATH6 6.3.028. Solve the linear programming problem by the method of corners. Find the minimum and maximum of P = 7x + 3y subject to 3x + 5y = 20 3x + -2x + y s 3 x 0, y 20. y s 16 The minimum is P = at (x, y) = ( The maximum is P = at (x, y) = Need Help? Read It Watch It Talk to a Tutor
An objective function and a system of linear inequalities representing constraints are given. Complete parts a through c. Objective Function z = 4x-3y Constraints 25x56 y22 x-y2-4 a. Graph the system of inequalities representing the constraints. Use the graphing tool to graph the system. Click to enlarge graph b. Find the value of the objective function at each corner of the graphed region. (Use a comma to separate answers as needed.) c. Use the values in part (b) to determine...
Solve the given linear programming problem using the simplex method. If no optimal solution exists, indicate whether the feasible region is empty or the objective function is unbounded. (Enter EMPTY if the feasible region is empty and UNBOUNDED if the objective function is unbounded.) Minimize c = x + y + z + w subject to x + y ≥ 80 x + z ≥ 60 x + y − w ≤ 50 y + z − w ≤ 50...
14. Find the minimum and maximum values of z = 2x + 3y (if possible) for the following set of constraints. 2x+y ≤ 20 10x+y≥36 2x+5y≥36 Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. The minimum value is _______ B. There is no minimum value.11. Use graphical methods to solve the following linear programming problem. Maximize: 2=5x+y subject to: x-y≤11 5x+3y≤75 x≥0, y≥0 Graph the feasible region using the graphing tool to the right.4. The graph shows a region of feasible solutions. Use this...
hapter 5 Quiz (pp. 150-162) Saved Help In linear programming, what-if analysis is associated with determining the effect of changing I. objective function coefficients Il. right-hand side values of constraints. IlI. decision variable values. 0150-13) Multiple Choice eBook objective function coefficients and right-hand side values of constraints References right-hand side values of constraints and decision variable values objective function coefficients, right-hand side values of constraints, and decision variable values objective function coefficients and decision veriable values None of the choices...
(Ref. Ch. 14 Exercise on p. 393. Oakshott's book) Example 18.1 A particular linear programming problem is formulated as follows: Min. Z 2500x + 3500y Subject to: 5x + by > 250 4x + 3y > 150 x + 2y 70 () Find the x- and y-intercepts (i.e., where the line crosses the axes) of the line that is for the constraint 5x + 6y > 250 Select one: a. (x,y) (0,41.67) and (x, y) = (50,0) o b.(x,y) (41.67,0)...