[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 | |