Consider the following linear programming model. Formulate an
equivalent model with one less constraint ( other than the
constraints of non-negativity).
Max 7x + 5y
Constraints 4x + 3 y <= 2400
2x + 0.5y <= 750
x
>= 100
x,y >= 0
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Consider the following linear programming model. Formulate an equivalent model with one less constraint ( other...
Consider the following linear programming problem. Maximize p = 5x + 7y subject to the constraints 3x + 8y ≤ 1 4x - 5y ≤ 4 2x + 7y ≤ 6 x ≥ 0, y ≥ 0 Write the initial simplex tableau.
Sketch the constraint set for each noncanonical linear
programming problem below. On the basis of this constraint set,
formulate a conjecture as to whether or not the solution of the
given problem is the same as the solution of the associated
canonical linear programming problem where all independent
variables are constrained to be nonnegative. Verify your conjecture
by solving both linear programming problems.
c. Maximize f(x, y)= - x + 2y subject to -x+y-1 2x - y = -2
28.If a linear program is in standard maximum form, which of the following can be a constraint? 3x+5ys-5 x+y-4 7x+12y 2 0 2x-4ys9 4x-8y 2 1 ONone of the above. 29.A certain number of steps of the simplex method results in the following simplex tableau. 0 3 20 0 1 0 0 0 2 7 0 1 0 13 4 0 0 5 8 0 0 20 0 0 1 2 3 0 1 93 What is the next step...
Consider the following linear programming model: Max X1 + X2 Subject to: X1 + X2 ≤ 2 X1 ≥ 1 X2 ≥ 3 X1, X2 ≥ 0 This linear programming model has a(n). A. Unbound solution B. Infeasible solution C. Redundant constraint D. Alternate optimal solution
Consider the following linear programming model Max 2X1 + 3X2 Subject to: X1 + X2 X1 ≥ 2 X1, X2 ≥ 0 This linear programming model has: A. Infeasible solution B. Unique solution C. Unbounded Solution D. Alternate optimal solution E. Redundant constraints
Consider the following Linear Problem Minimize 2x1 + 2x2 equation (1) subject to: x1 + x2 >= 6 equation (2) x1 - 2x2 >= -18 equation (3) x1>= 0 equation (4) x2 >= 0 equation (5) 13. What is the feasible region for Constraint number 1, Please consider the Non-negativity constraints. 14. What is the feasible region for Constraint number 2, Please consider the Non-negativity constraints. 15. Illustrate (draw) contraint 1 and 2 in a same graph and find interception...
Solve the linear programming problem by simplex method. . Minimize C= -x - 2y + z. subject to 2x + y +2 < 14 4x + 2y + 3z < 28 2x + 5y + 5z < 30 x = 0, y>02 > 0
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.
10. For the following linear programming problem, determine the optimal solution by the graphical solution method. Are any of the constraints redundant? If yes, then identify the constraint that is redundant. Max x + 2y s.t. x + y<= 3 x - 2y >=0 y<= 1 x, y >= 0 Please show all work in excel and step by step with formulas no solvers mode.
Your problem is to find the optimal solution to the following linear programming model where X, Y and Z represent the amounts of products X, Y and Z to produce in order to minimize some cost. Min 4X + 2Y + 6Z s.t. 6X + 7Y + 10Z ≤ 80 (1) 2X + 4Y + 3Z ≤ 35 (2) 4X + 3Y + 4Z ≥ 30 (3) 3X + 2Y + 6Z ≥ 40 (4) X,Y,Z ≥...