Solve the linear programming problem. (If there is no solution, enter NO SOLUTION.) Minimize z = x + y Subject to 4x + y ≥ 50 x + 4y ≥ 50 x ≤ 23 y ≤ 23 Minimum value is z = at (x, y) = ( , )
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Solve the linear programming problem. (If there is no solution, enter NO SOLUTION.)
| Minimize | z = x + y |
| Subject to | 4x + y ≥ 50 |
| x + 4y ≥ 50 | |
| x ≤ 23 | |
| y ≤ 23 |
Minimum value is z = at
(x, y) = ( , )
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- LPP Model Maximize P = 12x + 10y Subject to : 4x + 3y < 480 2x + 3y < 360 X, y 2 0 Which of the following points (x, y) is feasible? A) ( 120, 10) B ( 30, 100 ) c) ( 60, 90 ) D) ( 10, 120 )a. Which of the following best describes the meaning of the equation P(25) = 200? 1. When 200 calculators are sold, the profit is $25. II. When 200 calculators are sold, the profit is increasing at a rate of $25 per additional calculator III. When 25 calculators are sold, the profit is $200. IV. When 25 calculators are sold, the profit is increasing at a rate of $200 per additional calculatoConsider the problem of calculating the median m of the following numbers: 4,5,9. (a) Write down the linear program that you could solve, to find the median m. Then put this LP in the form: min c^T x s.t. Ax 2 b, x 2 0, where x is your list of variables. (b) Now write down the dual of the problem above. Call the list of dual variables y. (Hint: there are 6 components of y.)
- Please show how to solve bThe feasible solution is always an optimal solution for Sum of subset problem. (true/false)Determine the pivot element in the simplex tableau. (If there is more than one correct pivot element, choose the element with the smaller row number.) X1 X2 X3 S1 S2 3 4 2 1 15 1 20 -8 -3 10 1 row column N O O
- Consider the problem of calculating the median m of the following numbers: 4,5,9. (a) Write down the linear program that you could solve, to find the median m. Then put this LP in the form: min c^T x s.t. Ax ≥ b, x ≥ 0, where x is your list of variables. (b) Now write down the dual of the problem above. Call the list of dual variables y. (Hint: there are 6 components of y.)Maximize p = 7x + 6y + 3z subject to x + y + z ≤ 150 x + y + z ≥ 100 x ≥ 0, y ≥ 0, z ≥ 0. p= (x, y, z)=TRUE OR FALSE In Simplex Method, the pivot element should be changed to 1 in the formulation of the next table.