11. D) x=0 y=4 u=1 v=0 p=16 12. B) x = 0, y = 2, z = 4, u = 0, v = 0, P = 44 13. A) x = 13, y = 1, z = 0, u = 18, v = 0, w = 0, P = 67 14. B) x = 0, y = 16, z = 0, t = 0, u = 80, v = 21, w = 61, P = 96 15. A) x = 1, y = 1, z = 1, u = 0, v = 0, w = 0, P = 74 16. B) x=6 y=2 u=0 v=0 p=84 17. E) x=0 y=3 z=0 u=90 v=0 w=74 p=15 18. No optimal solution exists for this problem. 19. problem is not clear ..u have not putted any sign on constrants if the problem is this one Maximize p = 4x + 5y subject to x + 2y <= 10 2x + 3y <= 18 x>=0 y>=0 then the answer will be: p = 36; x = 9, y = 0 20. No optimal solution exists for this problem. Solution 11. D) x=0 y=4 u=1 v=0 p=16 12. B) x = 0, y = 2, z = 4, u = 0, v = 0, P = 44 13. A) x = 13, y = 1, z = 0, u = 18, v = 0, w = 0, P = 67 14. B) x = 0, y = 16, z = 0, t = 0, u = 80, v = 21, w = 61, P = 96 15. A) x = 1, y = 1, z = 1, u = 0, v = 0, w = 0, P = 74 16. B) x=6 y=2 u=0 v=0 p=84 17. E) x=0 y=3 z=0 u=90 v=0 w=74 p=15 18. No optimal solution exists for this problem. 19. problem is not clear ..u have not putted any sign on constrants if the problem is this one Maximize p = 4x + 5y subject to x + 2y <= 10 2x + 3y <= 18 x>=0 y>=0 then the answer will be: p = 36; x = 9, y = 0 20. No optimal solution exists for this problem..