Question: Read: Chapter 5 Sections 1,2,3 and Chapter 6 Page 287 and Section 4. 1). A company manufactures and sells items of two types. Let x1,

Read: Chapter 5 Sections 1,2,3 and Chapter 6 Page 287 and Section 4. 1). A company manufactures and sells items of two types. Let x1, try be the number of each type item made. The company faces the following LP to maximize its profits: max 4x1 +5.22 s.t. 21 +22 S 10 321 +222 S 24 21 56 22 S8 21. 22 > 0 The optimal solution is x = 2, r2 = 8. Answer the following using graphical sensitivity analysis. Graph the LP and show your work! (a). Suppose the price of sale price of type 1 item is subject to change. For what range of prices does the current optimal solution remain optimal? (b). Suppose the price of sale price of type 2 item is subject to change. For what range of prices does the current optimal solution remain optimal? (e). What is the range of values of the third right hand side (63) for which the current BFS remains optimal? (d). What is the range of values of the forth right hand side (b) for which the current BFS remains optimal? (e). What is the shadow (dual) price of the forth constraint? (f). What is the shadow (dual) price of the first constraint

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