Consider the primal problem Max. z = c'x, s. t. Ax

Q: Question 3 Consider the following NLP: max f(x1,x2) = -2x1 – a + 6x2 – 3x %3D 4x1 + x2 0 a) Obtain…

A: given max    fx1,x2=-2x1-x12+6x2-3x22s.t.     4x1+x2≤24               1          x1+2x2≤12…

Q: а) If x, y and z are independent variables and f(x, y, =) =xsin( y + 3:) then find . b) Find all…

A: We know that ∂f∂z is partial differentiating f(x,y,z) with respect to z , treating x and yas…

Q: Determine whether x'= (,, ) is an optimal solution to the following linear program: 31 maximise 9x1…

A: Primal is   MAX Zx =   9 x1 + 12 x2 + 7 x3 subject to   3 x1 + 3 x2 +   x3 ≤ 4…

Q: (3). Find the critical numbers 1/ a) b) f(x)=x²-x²-2x+3 f(x)= x(3-x)¹/3

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Q: Consider that there are two goods, good X and good Y, which are perfect substitutes. The consumer…

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Q: Q5) by using the (graphical method) find the optimum solution of X1, X2 that the maximum Z=4X1+5X2…

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Q: 10) Solve this linear problem using the Big M method. Min z = x1 - 2x2 + x3 Subject to: xl + x2 -x3…

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Q: 6. Consider the following problem: max z = 2x1 + x2 s.t. x2 0. Construct the dual problem. Use the…

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Q: 4. As a computer scientist, a research has been conducted and the problem has been modeled below,…

A: Here we draw the region bounded by the constrains. Then find the corner points.

Q: Q2) Consider the following LP problem and its optimal solution. Max z = 4x1 + 7x2 x1 х2 St Зx1 + 6х2…

A: If we have primal for the from ' Max Z = CTX Subjected to: AX≤B (constraints)and X≥0 Let 'n' be no.…

Q: Write the equation for the following function: 10 9. 8 7. 4 1 -10 -9 -8 -7 -6 -5 -4 -3 -2 -1 2 3 4 5…

A: we know that equation of a line using two points(x1,y1) and (x2,y2) is gievn…

Q: Minimize c = r + 2s + 3t 3r + 2s + t > 60 Subject To: 2r + 3t > 60 And Where: {r > 0, s > 0, t > 0}…

A: According to the given information it is required to solve the given problem:

Q: 5. The equation 12x = 20 has 4 solutions in Z56. In general, the number of solutions in Zm to the…

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Q: Q5) by using the (graphical method) find the optimum solution of X1, X2 that the maximum Z=4X1+5X2…

A: We have to find the optimum solution of given LPP using graphical method.

Q: Consider the following LP: z = 5x₁ + 3x2 + x3 s.t. 2x₁ + x₂ + x3 ≤ 6 x₁ + 2x₂ + x3 ≤ 7 X1, X2, X3 ≥…

A: max s.t

Q: (2x,+3 x s6 Consider the LPP, Max. z=2 x, +5 x2, s. t. X, +X224 We added slack variable x3 to…

A: The given LPP is, Max Z=2x1+5x2s.t 2x1+3x2≤6x1+x2≥4

Q: "Use the northwest corner method to find the starting solution, then determine the optimum solution…

A: To find the starting and the optimum solution of the given problem using northwest corner method.…

Q: Q7) by using the (graphical method) find the optimum solution of X1, X2 that the maximum Z=5X+7Y…

A: Answer is given below.

Q: 4. What is the solution given the final tableau of the maximization problem? P| C у z и 0 0 1 -1 8…

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Q: D,I 3.1-6. Use the graphical method to solve the problem Maximize Z = 10x₁ + 20x2, subject to -x₁ +…

A: In this question, we will solve the LPP by using graphical method.

Q: Solve this LP max z = 3x₁ + 2x₂ +2.5x3 8.t. 1 + 2 + 2003 201 + 2x3 1, 2, 3 > 0 has optimal tableau…

A: Given that the linear programming problem:        max z=3x1+2x2+2.5x3,s.t.         x1+x2+2x3≤4,…

Q: 4. Find and classify the critical points of a) f(x) = and b) g(x) = 3x³ – 5a3+ 1 5- 27.

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Q: 1. Suppose that p, q ER are both constants and consider the following linear program: maximize pr+q₂…

A: Solving part d, as asked. Given linear program: Maximize px1 +qx2 Subject to…

Q: 4. Solve the program min x² + 2y² +3z² x,y s.t. 3x + 2y + z 2 17

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Q: 2. Solve Graphically Max P =4x+2y Subject to: x+2y<10 x+4y<12 x20, y 20

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Q: Maximize f = 3x1 + 7x2 + 8x3 subject to 4x1 + 2x2 + 3x3 0, r3 >0 If no solutions exist enter DNE in…

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Q: Determine whether x'= (0,,0) is an optimal solution to the following linear program. maximise 3x1 +…

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