Please Help!! Linear Programming Problem : Use these decision variables to formulate the job facing the cto as a linear programming problem.
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Question 2: 
(a) Solve this problem graphically. [9]
(b) Reformulate this problem so that it has only two constraints and all variables have
nonnegativity constraints. (You will need to define new variables in terms of the old ones.)
[6]
(c) Using your reformulation in part (b), solve the problem by using the simplex method by
hand. [10
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Please Help!! Linear Programming Problem : Use these decision variables to formulate the job facing the cto as a linear programming problem.
1. Solving the linear programming problem Maximize z 3r1 2r2 3, subject to the constraints using ...
1. Solving the linear programming problem Maximize z 3r1 2r2 3, subject to the constraints using the simplex algorithm gave the final tableau T4 T5 #210 1-1/4 3/8-1/812 0 0 23/4 3/8 7/8 10 (a) (3 points) Add the constraint -221 to the final tableau and use the dual simplex algorithm to find a new optimal solution. (b) (3 points) After adding the constraint of Part (a), what happens to the optimal solution if we add the fourth constraint 2+...
Problem on Linear programming and Simplex method
Problem on Linear programming and Simplex methodThe \(\ell_{1}\) norm of a vector \(v \in \mathbb{R}\) is defined by$$ \|v\|_{1}:=\sum_{i=1}^{n}\left|v_{i}\right| $$Problems of the form Minimize \(\|v\|_{1}\) subject to \(v \in \mathbb{R}^{n}\) and \(A v=b\) arise very frequently in applied math, particularly in the field of compressed sensing.Consider the special case of this problem whith \(n=3\),$$ A=\left(\begin{array}{lll} 1 & 1 & 0 \\ 3 & 0 & 1 \end{array}\right) \quad \text { and } \quad b=\left(\begin{array}{l} 3 \\ 8 \end{array}\right) $$(a) (3...
3. Consider the following production problem Maximize 10r 12r2 20r, subject to the constraints xi...
3. Consider the following production problem Maximize 10r 12r2 20r, subject to the constraints xi +x2 +x3 10. ri + 2r2 +3rs 3 22, 2x1 2a2 +4x3 S 30 120, x2 20, 0 (a) (2 points) Solve the problem using the simplex method. Hint: Check your final tableau very carefully as the next parts will depend on its correct- ness. You will end up having 1, 2, r3 as basic variables. (b) (6 points) For1,2, and 3, determine the admissible...
Use the 'Solver' add in on excel to formulate the constraints The Clarke Special Parts Company...
Use the 'Solver' add in on excel to formulate the constraints The Clarke Special Parts Company manufactures three products: A, B, and C. Three manufacturing centers are necessary for the production process. Product A only passes through Centers 1 and 2; Products B and C must pass through all three manufacturing centers. The time required in each center to produce one unit of each of the three products is noted as follows: X1 X2 X3 Z Profit Constraints Center 1...
Use the 'Solver' add in on excel to formulate the constraints The Clarke Special Parts Company manufactures thre...
Use the 'Solver' add in on excel to formulate the constraints The Clarke Special Parts Company manufactures three products: A, B, and C. Three manufacturing centers are necessary for the production process. Product A only passes through Centers 1 and 2; Products B and C must pass through all three manufacturing centers. The time required in each center to produce one unit of each of the three products is noted as follows: X1 X2 X3 Z Profit Constraints Center 1...
5. Suppose that (x1, X2, X3) is a feasible solution to the linear programming problem 4r,...
5. Suppose that (x1, X2, X3) is a feasible solution to the linear programming problem 4r, +2x2 + x3 minimize X12 3, 2a 23 2 4, subject to Let y and ybe non-negative numbers (a) Show that x1(y2y2)2(-y12) + x3y2 2 3y14y2 1 (b) Find constraints on yi and y2 so that 4x12 2 x1(y1 + 2¥2) + x2(-y1 + Y2) + x3Y2 1 at every feasible solution (xi, x2, X3) (c) Use parts (a) and (b) to find a...
Show decision variables, objective function and constraints. Use excel solver to solve the problem. The Ferguson...
Show decision variables, objective function and constraints. Use excel solver to solve the problem. The Ferguson Paper Company produces rolls of paper for use in adding machines, desk calculators, and cash registers. The rolls, which are 200 feet long, are produced in widths of 1.5, 2.5, and 3.5 inches. The production process provides 200-foot rolls in 10-inch widths only. The firm must therefore cut the rolls to the desired final product sizes. The current requirements (e.g. pre-orders) for the three...
This is question 5.3-5 from Introduction to Operations Research (Hillier). Relevant text: Consider the following problem....
This is question 5.3-5 from Introduction to Operations Research
(Hillier). Relevant text:
Consider the following problem. Maximize Z= cixi + c2x2 + C3X3 subject to x1 + 2x2 + x3 = b 2x1 + x2 + 3x3 = 2b and x 20, X220, X2 > 0. Note that values have not been assigned to the coefficients in the objective function (C1, C2, C3). and that the only specification for the right-hand side of the functional constraints is that the second...
Use the simplex method to solve the linear programming problem. Maximize z = xy + 3x2...
Use the simplex method to solve the linear programming problem. Maximize z = xy + 3x2 + x3 + 9x4 subject to Xy+ 7x2 + x3 + X4 5 10 8xy + x2 + 4x3 + X4 180 Xy 20,X220, X3 20,X420 Select the correct choice below and, if necessary, fill in the answer boxes to complete your choice. O A. The maximum is when xy = X2 s, -and s2 = B. There is no maximum. The initial simplex...
Operations Management Problem- Linear Programming MSA Computer Corporation manufactures two models of smartphones, the Alpha 4...
Operations Management Problem- Linear Programming MSA Computer Corporation manufactures two models of smartphones, the Alpha 4 and the Beta 5. The firm employs five technicians, working 160 hours each per month, on its assembly line. Management insists that full employment (i.e., all 160 hours of time) be maintained for each worker during next month’s operations. It requires “A” labor hours to assemble each Alpha 4 computer and “B” labor hours to assemble each Beta 5 model. MSA wants to see...
1. Solving the linear programming problem Maximize z 3r1 2r2 3, subject to the constraints using the simplex algorithm gave the final tableau T4 T5 #210 1-1/4 3/8-1/812 0 0 23/4 3/8 7/8 10 (a) (3 points) Add the constraint -221 to the final tableau and use the dual simplex algorithm to find a new optimal solution. (b) (3 points) After adding the constraint of Part (a), what happens to the optimal solution if we add the fourth constraint 2+...
3. Consider the following production problem Maximize 10r 12r2 20r, subject to the constraints xi +x2 +x3 10. ri + 2r2 +3rs 3 22, 2x1 2a2 +4x3 S 30 120, x2 20, 0 (a) (2 points) Solve the problem using the simplex method. Hint: Check your final tableau very carefully as the next parts will depend on its correct- ness. You will end up having 1, 2, r3 as basic variables. (b) (6 points) For1,2, and 3, determine the admissible...
5. Suppose that (x1, X2, X3) is a feasible solution to the linear programming problem 4r, +2x2 + x3 minimize X12 3, 2a 23 2 4, subject to Let y and ybe non-negative numbers (a) Show that x1(y2y2)2(-y12) + x3y2 2 3y14y2 1 (b) Find constraints on yi and y2 so that 4x12 2 x1(y1 + 2¥2) + x2(-y1 + Y2) + x3Y2 1 at every feasible solution (xi, x2, X3) (c) Use parts (a) and (b) to find a...
This is question 5.3-5 from Introduction to Operations Research
(Hillier). Relevant text:
Consider the following problem. Maximize Z= cixi + c2x2 + C3X3 subject to x1 + 2x2 + x3 = b 2x1 + x2 + 3x3 = 2b and x 20, X220, X2 > 0. Note that values have not been assigned to the coefficients in the objective function (C1, C2, C3). and that the only specification for the right-hand side of the functional constraints is that the second...
Use the simplex method to solve the linear programming problem. Maximize z = xy + 3x2 + x3 + 9x4 subject to Xy+ 7x2 + x3 + X4 5 10 8xy + x2 + 4x3 + X4 180 Xy 20,X220, X3 20,X420 Select the correct choice below and, if necessary, fill in the answer boxes to complete your choice. O A. The maximum is when xy = X2 s, -and s2 = B. There is no maximum. The initial simplex...
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> Please can someone assist me with these questions. I've been going over them multiple times and keep getting stuck.
Bingy Thu, Oct 28, 2021 5:36 PM