Problem 5 Suppose that a company produces and sells three types of product. The selling prices per unit of the prod- ucts are 500, 200, and 300 dollars, respectively. To produce one unit of product 1 the company needs 10 pounds of wood and 30 pounds of steel; to produce one unit of product 2 the company needs 10 pounds of wood and 10 pounds of steel; to produce one unit of product 3 the company needs 20 pounds of wood and 30 pounds of steel. The company has in total 200 pounds of wood and 240 pounds of steel . Find the dual of this problem and solve it graphically Use the complementary slackness conditions to find the optimal solution of the primal problem. . Assume that a merchant is selling the company wood and steel for 6 and 10 dollars per pound, re- spectively. Would you recommend the company to buy any wood or steel? Justify your answer using uality.

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Problem 5 Suppose that a company produces and sells three types of product. The selling prices per unit of the prod- ucts are 500, 200, and 300 dollars, respectively. To produce one unit of product 1 the company needs 10 pounds of wood and 30 pounds of steel; to produce one unit of product 2 the company needs 10 pounds of wood and 10 pounds of steel; to produce one unit of product 3 the company needs 20 pounds of

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