WK Qu. 2-14 Find the optimal solution for the following... Find the optimal solution for the...
WK Qu. 2-13 Find the optimal solution for the following... Find the optimal solution for the following problem. (Round your answers to 3 decimal places.) Minimize C subject to 9x + 7y 8x + 10y 217 11x + 12y 25 x 20.30 and a. What is the optimal value of x? b. What is the optimal value of y? c. What is the minimum value of the objective function? Minimum value < Prev
Find the optimal solution for the following problem. (Round your answers to 3 decimal places.) 20 points Maximize C = 15x + 11y + 4z subject to 8x + 10 + 172 s 62 15x + 18y + 11z s 124 and X 20, y 20. eBook a. What is the optimal value of x? Print References b. What is the optimal value of y? c. What is the optimal value of z?
Find the optimal solution for the following problem. (Round your answers to 3 decimal places.) Maximize C - subject to 5x + 1ly 4x + By 13 7x + 4y = 13 * 20, y = 0. and a. What is the optimal value of x? b. What is the optimal value of y?
(2 marks) Solve (find the optimal point and objective function value at the optimal point) the following optimisation problem min 2x+ y Subject to Obtain the gradient of both the objective function and constraint function at the optimal point. What condition do they meet at the optimal point? Suppose the right-hand side of the constraint equation is increased from 1 to 1.2. Without redoing the Lagrange multiplier method obtain an estimate for the change in objective function value. Verify using...
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...
Find the optimal solution for the following problem. Maximize C = 4x + 12y + 3z subject to 15x + 5y + 12z ≤ 75 6x + 2y + 8z ≤ 150 and x ≥ 0, y ≥ 0.
4. (-12 points) DETAILS ROLFFM8 3.3.009. Find the maximum value of the objective function 2 = 14x + 4y, subject to the following constraints. (See Example 2.) 5x + y s 35 9x + 3y S 81 x 0,Y 20 The maximum value is z = at (x,y) -
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.
Solve the following linear programming problem. Maximize: z-14x+10y subject to: 3x+5y s15 7x +y s 15 x20, y20 The maximum value is The maximum occurs at the point Type an ordered pair. If the maximum occurs at more than one point, type either answer. Type an integer or a fraction.) Solve the following linear programming problem. Maximize: z-14x+10y subject to: 3x+5y s15 7x +y s 15 x20, y20 The maximum value is The maximum occurs at the point Type an...
LP PROBLEM PLEASE EXPLAIN thanks Search 3:30 Str1+2 + 23 + 4 2 + 35 (A) Calculate the optimal solution. Write the basis change in the optimal solution . (B) Find Inverse matrix B-1 of the optimal basis matrix C.) Consider increasing the constant on the right side of one constraint by 1. At that time, the smallest value of the objective function decreases most when the constant of the constraint is increased? D.) Find the range of t such...