Question: Activity #1 Consider the following LP Model: Minimize z = 3x1 + 4x2 Subject to 5x1 + 3x2 > 20 1x1 + 3x2 > 25

Activity #1 Consider the following LP Model:

Activity #1 Consider the following LP Model: Minimize z = 3x1 + 4x2 Subject to 5x1 + 3x2 > 20 1x1 + 3x2 > 25 X1 + x2 > 5 X225 C1 ...C2 ... C3 ... C3 ... C4 ... C5 X15 x1,x220 Solve the following LP by means of graphical method: 1. Graph the constraints in the figure II. Determine the coordinates of the vertices (corner points) of the feasible region III. Identify optimal value. Activity # 2 Consider the following LP Model: Maximize z = 3x1 + 8x2 Subject to x1 + x2 28 ... C1 1x1 + 2x2 5 24 ...C2 3x1 - x2 > 5 X2 29 ... C4 X1,x220 ... C5 ... C3 Solve the following LP by means of graphical method: 1. Graph the constraints in the figure II. Determine the coordinates of the vertices (corner points) of the feasible region III. Find optimal values. Activity #3 In the twenyfour7 grocery store, shelf space is limited and must be used effectively to increase profit. Two cereal items, Chocolate and Wheaties, compete for a total shelf space of 65 ft2. A box of Chocolate occupies 0.4 ft2 and a box of Wheaties, needs 0.2 ft2. The maximum daily demands of Chocolate and Wheaties are 200 and 120 boxes, respectively. A box of Chocolate nets $2.0 in profit and a box of Wheaties $1.45, Formulate the LP model of the problem only (Do not solve the Model)

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