Question: Consider a Linear programming problem with 3 activities products 1,2, and 3), and to resources raw material and labor). Formulated as: MAX: 2 - 4x1

Consider a Linear programming problem with 3 activities products 1,2, and 3), and to resources raw material and labor). Formulated as: MAX: 2 - 4x1 + 32X + 6X3 Subject to: 3x1 + x2 + x3 30 Raw Material 2x1 + 2x2 + 3x3 40 Labor x1,x2,X3,0 The optimal tableau obtained by simplex method is: -21-22-2 ** 1 -22-23. 20/3 ** profit for product that the cu 10) 11) Suppose the producer wants to make a new product with unit profit of $3.00 which requires 2 units of raw material and 3 units of labor, is it profitable to produce this new product? Consider the production of another new product with unit profit of $3.00 and unit requirements of 1 unit of raw material and 1 unit of labor. Would you becomend this product to be manufactured? If yes, find the most profitable production schedule. Suppose the requirements of product l changes to 6 units of raw material and 3 units of labor, does it change your current optimal solution? 12) Consider a Linear programming problem with 3 activities products 1,2, and 3), and to resources raw material and labor). Formulated as: MAX: 2 - 4x1 + 32X + 6X3 Subject to: 3x1 + x2 + x3 30 Raw Material 2x1 + 2x2 + 3x3 40 Labor x1,x2,X3,0 The optimal tableau obtained by simplex method is: -21-22-2 ** 1 -22-23. 20/3 ** profit for product that the cu 10) 11) Suppose the producer wants to make a new product with unit profit of $3.00 which requires 2 units of raw material and 3 units of labor, is it profitable to produce this new product? Consider the production of another new product with unit profit of $3.00 and unit requirements of 1 unit of raw material and 1 unit of labor. Would you becomend this product to be manufactured? If yes, find the most profitable production schedule. Suppose the requirements of product l changes to 6 units of raw material and 3 units of labor, does it change your current optimal solution? 12)

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