Feasible region for an optimization problem is given as follows: у D E B A X...
Given the following linear optimization problem Maximize 10x + 20y Subject to x+y ≤ 50 2x + 3y ≤ 120 X ≥ 10 X,y≥0 (a) Graph the constraints and determine the feasible region. (b) Find the coordinates of each corner point of the feasible region (c) Determine the optimal solution and optimal objective function value.
The graph to the right shows a region of feasible solutions. Use this region to find maximum and minimum values of the given objective functions, and the locations of these values on the graph. 10 (2, 8) (a) z 6x+9y (b)2-x + 3y (7, 5) (0 어 (a) What is the maximum of z 6x + 9y? Select the correct answer below and, if necessary, fill in the answer boxes to complete your choice. A. The maximum value of the...
The graph to the right shows a region of feasible solutions. Use this region to find maximum and minimum values of the given objective functions, and the locations of these values on the graph. 10- (2, 8) (a) z -6x +9,y (b)2-x + 3y (a) What is the maximum of z 6x+ 9y? Select the correct answer below and, if necessary, fill in the answer boxes to complete your choice. (7, 5) (0 A. The maximum value of the objective...
Solve the LP problem. If no optimal solution exists, indicate whether the feasible region is empty or the objective function is unbounded. HINT [See Example 1.] (Enter EMPTY if the region is empty. Enter UNBOUNDED if the function is unbounded.) a)Maximize p = 3x + 2y subject to −4x+y≥10 x+3y≤12 x ≥ 0, y ≥ 0 p= (x,y)= b) Maximize and minimize p = x + 2y subject to x + y ≥ 6 x + y ≤ 8 x...
Consider the vector field F(x, y, z) = 8x^2 + 3y, −5x^2y − 4y^2, 6x^2 + 7y − 8 which is defined on all of double-struck R3, and let F be the rectangular solid region F = {(x, y, z) | 0 ≤ x ≤ a, 0 ≤ y ≤ b, −1 ≤ z ≤ 1} where a > 0 and b > 0 are constants. Determine the values of a and b that will make the flux of F...
Write the given linear system in matrix form. Assume X = Х у z = -3x + 7y - 92 dx dt dy dt dz dt = 5x - y = 10x + 7y + 3z X' = X + x
4. Following optimization problem is given as follows: Max z= x + y + xy + 25 subject to xy = 9 and x>0, y =0 where x, y E R a) Is this linear model or not? (Explain) What is the optimum value of x in this model? What is the optimum value of y in this model? What is the optimum value of z in this model? c)
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 ≥...
please show work, im so lost on all of these
Given f(x, y) = 4x 5xys + 3y?, find f(x,y) = fy(x, y) = f(x, y) = 5x2 + 4y? $2(5, - 1) = Given f(x, y) = 4x2 + xy 4x² + xys – 67%, find the following numerical values: $:(3, 2) = fy(3, 2) = Given f(x, y) = 3x4 – 6xy2 – 2y3, find = fry(x, y) = Find the critical point of the function f(x, y)...
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.