Minimize: z=4x+8y? subject to: x+1.5y≥45 2x+0.5y≥40 x+y≤40 x,y≥0 questions: -Find the feasible region -Find the corner points -Find the optimal value

Q: Solve the given linear programming problem. Minimize z 6x +dy subject to x 2 0, y 2 0, x + y 2 4, x=…

A: The given subject to constraints:-  x≥0,y≥0, x+y≥4, x≤8,y≤10. Maximizing z=6x+4y

Q: Solve the given LP problem. If no optimal solution exists, indicate whether the feasible region is…

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Q: At which point is z = 3x + 4y is minimized with respect to the feasible region described below -3x +…

A: We have to minimize Z = 3x +4y, -3x+y≤0-3x+y = 0 x 0 0 y 0 0

Q: Given the LP Model Minimize: z = x - y subject to: 4x – 3y 20 - 3x – 4y < 0 X, y 2 0

A: We will obtain the solution of the LP model using simplex method (Big M) Our Problem is  : MIN Z = x…

Q: · Consider the following constrained optimization problem ||x – b||2 ||x||? = 8 minimize subject to…

A: Given the constrained optimization problem  minimize x-b2subject to x2=8 where b=1,1T.   Let…

Q: Graph the feasible region.  x + y ≤ 3 and  x ≥ 1, y ≥ 0

A: Given    x+y⩽3  and x⩾1, y⩾0     To draw x+y⩽3, first draw x+y=3    ⇒y=-3+3    x     0…

Q: The method which usually gives a good basic feasible sohution to a transportation problem is •…

A: Transportation problem is the type of linear programming problem. These problems objective is to…

Q: For the given unbounded feasible region, the optimal solution of minimizing z-2x+5y is (o, 6) (1. 4)…

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Q: For the given feasible region, the optimal minimum value of the objective function z=5x+3y is at…

A: Graph of  Z=5x+3y for constant Z will be:

Q: 00 3. Question 20 6. 4- 12 3. 4 5 6 7 Maximize -x+4 y for the bounded feasible region displayed…

A: Consider the bounded feasible region

Q: while the BlackRock fund was expected to yield 5%. You would like to invest a total of up to…

A: Let the investment in MHI be x Let the investment in BKK be y Total money to be invested is upto…

Q: Find the values of​ x, y, and z that maximize xyz subject to the constraint 192−x−8y−16z=0.…

A: Use the lagrangian's multiplier  xyz+λ192-x-8y-16z Partially differentiate with respect to x, y, z…

Q: At which point is the cost function Z =x +3y minimizedwith respect to the feasible region…

A: We have solved this problem using graphical method.

Q: Solve the LP problem. If no optimal sc Maximize and minimize p = 2x-y su x+y24

A: In the given question, the concept of Linear Programming is applied. Linear Programming An approach…

Q: At which point is the cost function C =x + 3y minimized with respect to the feasible region…

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Q: Locate the feasible region whose boundary lines are graphed below." Given the following constraints…

A: note : As per our company guidelines we are supposed to answer ?️only the first question. Kindly…

Q: max Z = x, +3x, s.t. 2. -x; +2x, 0

A: Graphical method

Q: Solve the following LP problems using graphical method. Clearly draw the feasible region,…

A: The problem is,max Z=x1+3x2such that -x1+2x2≤8x1≥0 and x2≥0

Q: Given the LP Model Minimize: z x-y subject to: 4x -3y <0 x +y < 10 х, у 2 0 The LP problem has an…

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Q: Minimize: z = x - y subject to: 4x — Зу 20 Зх — 4у < 0 х, у 2 0

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Q: find the values of  x greater than or equal to 0 y greater than or equal to 0 that maximize…

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Q: State the dual problem for the following, but do not solve it. Maximize z = Minimize w = y, + 3y, +…

A: The dual problem and primal problem are problems which describe the same condition but with…

Q: Use the method of Lagrange multipliers to minimize f (x, y) = Vx2 + 3y2 subject to the constraint x…

A: Solve the following

Q: Locate the feasible region whose boundary lines are graphed below. Given the following constraints…

A: We will find out the required solution.

Q: Consider the following linear program. Min Z = 3 * x 1 + 4 * x 2 S.t. 1* x 1 + 3 * x 2 >= 6 1* x 1 +…

A: The given linear programming problem is, Min Z=3x1+4x2S.t.x1+3x2≥6x1+x2≥4x1,x2≥0

Q: Destination 2 3 4 Supply 1 50 2 2 2 30 3 5 30 Demand 30 35 20 25 Source

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Q: A manufacturer has determined that the total cost C of operating a factory is C = 2x² + 60x + 200,…

A: Given problem:- A manufacturer has determined that the total cost C of operating a factory is   C =…

Q: Draw the region in the xy plane where x+2y = 6 and x 2 0 and y 2 0. Which point in this "feasible…

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Q: b) Consider the following mixed constrained LP problem. Minimize z = 4x, + x2 Subject to 3x1 + x2 =…

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Q: State the dual problem. Use y, and y, as the variables. Given: y, 20 and y2 20. OA. Minimize w -21y,…

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Q: (4,7) Given the feasible region, what is the value of x so that z=10x+y is maximum? а. О b. 4 с. 6 a…

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Q: State the dual problem for the following, but do not solve it. Maximize z = X1 +x2 Minimize w=y1+3y2…

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Q: Rewrite the objective fur Minimize w = 2y1 + 4y2 subject to: y, + y2 2 11 2у1 + Зу2 + Уз222

A: Given,

Q: e following linear optimization model: Maximize z(x1, x2) = 4x1 + 4x2 Subject to

A: In this question, concept of Linear Programming is applied. Linear Programming Linear programming is…

Q: Minimize: z = x- y subject to: 4x — Зу <0 х+y < 10 х, у 2 0

A:

Q: 4. Consider the feasible region below. 12 (4, 10) 10 (0, 8) 80 (8, 6) 6 4 |(10, 2) (0, 2) 2 6 8 10…

A: 4. Observe the feasible region.

Q: In this exercise, we suggest the use of technology. Round all answers to two decimal places.…

A: Given-  Minimize c = 5.48x + y + 1.8z + wsubject to5.12x - y + w ≥ 1000z + w ≥ 20001.15x + y ≤ 800x…

Q: At which point is the cost function C = x + 3y minimized with respect to the feasible region…

A: We will find out the required value.

Q: Use Lagrange multipliers to find the indicated extrema, assuming that x and y are positive.…

A: We will create a Lagrange's function to solve the problem.

Q: Use Lagrange multipliers to find the indicated extrema, assuming that x, and y are positive.…

A: Solution is in step 2

Q: Given the LP Model Minimize: z = x-y subject to: 4x — Зу s0 x+y s 10 х,у 20

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Q: Obtain the necessary conditions for the optimum solution of the following Minimize f(x,, x2) = 3…

A: We will use Lagranges multiplier method to find condition for minimization  To minimize f(x,y)…

Q: Find the maximum and minimum values of the given objective function on the indicated feasible…

A: To find maximum and minimum value of the objective function, we have to draw the feasible region of…

Q: corresponding graph below. Maximize z = 5x + 4y Subject to: 3x + 2y = 8 x >= 0 y >= 0   From the…

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Q: 7- 4- 3- -1 2 3 4 5 6 7 8 9 10 Maximize x-5 y for the bounded feasible region displayed above.

A: We have to find the maximum value of (x - 5y) fir the given feasible region in the graph. Using…

Q: Give the optimal solution. Minimize z = 4x + 8y subject to: x + 1.5y ≥ 45 2x+ 0.5y≥ 40 x+y ≤ 40 x,y≥…

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Q: Use Lagrange multipliers to find the indicated extrema, assuming that x and y are positive. Maximize…

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Q: Minimize: subject to: z = x-y 4x - 3y ≤0 x + y ≤ 10 x,y ≥ 0

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Q: Q5. For the given feasible region, use the graphical algebraic method to find the optimal minimum…

A: Minimum value of function is the value which is smallest value in range of function, that is…

Q: Find the corner point that gives the optimal solution for the objective profit function: Max P= x, +…

A: Solution: Given data, Max P = x1 + 4x2 5x1 + 2x2 &lt;= 40.......1  x1 + 3x2 &lt;= 21........2…