(60pts) (40) Instructions: (100 points) Assignments should be neatly-written, well-organized, correct and concise. To receive full credit please show all your work. All class assignments and other announcements will be posted on the class website. 1. IKEA is opening a special factory to manufacture dinner tables and chairs in Kuwait. A dinner table is estimated to be sold for a profit of KD30. The chairs are estimated to be sold for a profit of KD10 each. It takes six hours to make a dinner table and three hours to make a chair. The factory will be able to crunch wood for up to 40 hours per week. Demand in Kuwait requires that the plant makes at least three times as many chairs as dinner tables. Tables take up four times as much storage space as chairs. Finally, there is room for at most four tables each week. Use the linear programming tool in Matlab (linprog) to determine the number of tables and chairs manufactured that will maximize the profit. 2. Use linprog to solve the following problem, Minimize 4x+5y+6z s. t. x+y≥ 11 x-y≤5 2-x-y=0 7x≥35-12y and 20, y≥0, z≥0 reducing the problem by eliminating one of the constraints.

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