[Page 786 ( continued )] 1. | p = $186.67, v = 176 chairs, Z = $18,313.33 | 3. | p = $40.50, v = 28,269.6, Z = $542,641.95 | 5. | p = $25.55, v = 78.63, Z = - $1,198 | 7. | p = $35.16, Z = $10,257.57 | 9. | x 1 = 10, x 2 = 45, Z = $212.50 | 11. | x 1 = 0.09, x 3 = 0.497, x 4 = 0.413; total return = 0.136 | 13. | Lagrange multiplier = 0.27 | 15. | max Z = (5.8 - .06 p h + .005 p l ) p h + (3.0 - .11 p 1 + .008 p h ) p 1 , s.t. 5.8 - .06 p h + .005 p 1 2.5, 3.0 - .11 p 1 + .008 p h 2.5, p l , p h 0; p h = $56.40, p l = $16.70, Z = $167.94 | 17. | x = 151.2, y = 484.08, Z = 52,684.29 | 19. | x A = .250, x B = .750, Z = .0382, total return = 0.11 | 21. | x 1 = 5, x 2 = 3, x 3 = 8, x 4 = 3, x 5 = 2, x 6 = 5, x 7 = 5, x 8 = 4, Z = $4,193,450.37 | |