Sherwood Furniture Company

1. Sherwood Furniture Company Recently, Sherwood Furniture Company has been interested in developing a new line of stereo speaker cabinets. In the coming month, Sherwood expects to have excess capacity in its Assembly and Finishing departments and would like to experiment with two new models. One model is the Standard, a large, high-quality cabinet in a traditional design that can be sold in virtually unlimited quantities to several manufacturers of audio equipment. The other model is the Custom, a small, inexpensive cabinet in a novel design that a single buyer will purchase on an exclusive basis. Under the tentative terms of this agreement, the buyer will purchase as many Customs as Sherwood produces, up to 32 units. The Standard requires 4 hours in the Assembly Department and 8 hours in the Finishing Department, and each unit contributes $20 to profit. The Custom requires 3 hours in Assembly and 2 hours in Finishing, and each unit contributes $10 to profit. Current plans call for 120 hours to be available next month in Assembly and 160 hours in Finishing for cabinet production, and Sherwood desires to allocate this capacity in the most economical way. Linear Programming

2. Sherwood Furniture Company – Linear Equations Linear Programming

3. Sherwood Furniture Company – Graph Solution Linear Programming

4. Sherwood Furniture Company – Graph Solution Constraint 1 Linear Programming

5. Sherwood Furniture Company – Graph Solution Constraint 1 Linear Programming

6. Sherwood Furniture Company – Graph Solution Constraint 2 Linear Programming

7. Sherwood Furniture Company – Graph Solution Constraint 1 & 2 Linear Programming

8. Sherwood Furniture Company – Graph Solution Constraint 3 Linear Programming

9. Sherwood Furniture Company – Graph Solution Constraint 1, 2 & 3 Linear Programming

10. Sherwood Furniture Company – Graph Solution Linear Programming

11. Sherwood Furniture Company – Graph Solution Linear Programming

12. Sherwood Furniture Company – Solve Linear Equations Linear Programming

13. Sherwood Furniture Company – Solve Linear Equations Linear Programming

14. Sherwood Furniture Company – Solve Linear Equations Linear Programming

15. Sherwood Furniture Company – Graph Solution Optimal Point (15, 20) Linear Programming

16. Sherwood Furniture Company – Slack Calculation Linear Programming

17. Sherwood Furniture Company - Slack Variables Max 20x1 + 10x2 + 0S1 + 0S2 + 0S3 s.t. 4x1 + 3x2 + 1S1 = 120 8x1 + 2x2 + 1S2 = 160 x2 + 1S3 = 32 x1, x2, S1 ,S2 ,S3 >= 0 Linear Programming

18. Sherwood Furniture Company – Graph Solution 3 1 2 Linear Programming

19. Sherwood Furniture Company – Slack Calculation Point 1 Point 1 Linear Programming

20. Sherwood Furniture Company – Graph Solution 3 1 2 Linear Programming

21. Sherwood Furniture Company – Slack Calculation Point 2 Point 2 Linear Programming

22. Sherwood Furniture Company – Graph Solution 3 1 2 Linear Programming

23. Sherwood Furniture Company – Slack Calculation Point 3 Point 3 Linear Programming

24. Sherwood Furniture Company – Slack Calculation Points 1, 2 & 3 Point 1 Point 2 Point 3 Linear Programming

25. Sherwood Furniture Company – Slack Variables • For each ≤ constraint the difference between the RHS and LHS (RHS-LHS). It is the amount of resource left over. • Constraint 1; S1 = 0 hrs. • Constraint 2; S2 = 0 hrs. • Constraint 3; S3 = 12 Custom Linear Programming