max 100x1+160x2 st 8x1 + 6x2 <= 480 4x1 + 2x2 <= 360 6x1 + 18x2 <= 720
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- Use two phase method for solving Maximize: Z = 4X1 + 3X2 + 9X3 Subject to: 2X1 + 4X2 + 6X3 ≥ 15 6X1 + X2 + 6X3 ≥ 12 X1, X2, X3 ≥ 0For the products A, B, C, and D, which of the following could be a linear programming objective function? Select one: a. Z = 1A + 2BC + 3D b. Z = 1A + 2AB + 3ABC + 4ABCD c. Z = 1A + 2B + 3C + 4D d. Z = 1A + 2B/C + 3DMax Z = 6X1 + 18X2+20X3 Sub to X1 + X2 +X3 = 60 10X1 +15X2 +20X3 = 900 2X1 + 3X2 +3X3≤100 And X1, X2, X3 >=0 (SOLVE MANUALLY USING SIMPLEX METHOD PLEASE DON'T USE SHORTCUTS)
- How can integer programming be used to ensure that thevariable x can assume only the values 1, 2, 3, and 4?Max Z = 3X1 + 4X2 Sub to: X1 + X2 ≤ 20 2X1 + 3X2 ≤ 50 And X1, X2 ≥ 0 (SOLVE MANUALLY USING SIMPLEX METHOD PLEASE DON'T USE SHORTCUTS)Minimize Z= x1+2x2-3x3-2x4 subject to: x1+2x2-3x3+x4=4 x1+2x2+x3+2x4=4 x1, x2, x3,x4 are equal or greater then zero
- The equation below specifies a function with independent variable x. Determine whether the function is linear, constant, or neither x=2y+5Use the simplex method to maximize the given function. Assume all variables are nonnegative. Maximize f = 2x + 9y subject to the following. 2x + 5y ≤ 50 x + 5y ≤ 45 x + y ≤ 14 (x,y)= f=Suppose that a firm makes gears (G) and axles (A). Each gear requires 0.75 hours of labor and each axle requires 1.25 hours of labor. Six thousand minutes of labor are available. How should the labor constraint(s) be written? 0.75G + 1.25A ≤ 6000 0.75G + 1.25A ≤ 100 0.75G + 1.25A ≥ 6000 45G + 75A ≤ 100 45G + 75A ≤ 1000
- INCORRECT FORFormulate a linear programming model that can be used to determine the pounds of Brazilian Natural and Colombian Mild that will maximize the total contribution to profit. (Let BR = pounds of Brazilian beans purchased to produce Regular, BD = pounds of Brazilian beans purchased to produce DeCaf, CR = pounds of Colombian beans purchased to produce Regular, and CD = pounds of Colombian beans purchased to produce DeCaf.) Max 2.033BR+2.582BD+1.868CR+2.418CD INCORRECT Pounds of Regular BR+CR≤900 INCORRECT Pounds of DeCaf BD+CD≤400 INCORRECTUse the simplex method to maximize the given function. Assume all variables are nonnegative.Maximize f = 3x + 22y subject to 14x + 7y ≤ 35 5x + 5y ≤ 50 (x,y)= f=Use the simplex method to maximize the given function. Assume all variables are nonnegative. Maximize f = 7x + 14y + 4z subject to the following. 3x + 5y + 4z ≤ 30 3x + 2y ≤ 4 x + 2y ≤ 8 (x,y,z)= f=