Question: Question 2. Graphical Solution (40 point) For a product mix problem, we have two decision variables shown as follows; Number of tables (T, Tables or

Question 2. Graphical Solution (40 point) For a

Question 2. Graphical Solution (40 point) For a product mix problem, we have two decision variables shown as follows; Number of tables (T, Tables or X1) Number of chairs (C, Chairs or X2) The followings are also the constraints; Maximum chairs allowed for production is less than or equal to 450. Minimum tables allowed for production is great than or equal to 100. Maximum available carpentry time is 2,400 hours and maximum available paint hours is 1,000 hours. Profit Contribution Carpentry Painting Chairs Tables TABLES (T) CHAIRS (C) LIMIT $7 $5 3 hrs 4 hrs 2,400 2 hrs 1 hr 1,000 O unit 1 unit 450 1 unit O unit 100 Please first write the linear programming model of the problem defined above in a mathematical form and solve it using the graphical method presented in the class

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