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Optimisation: Look at the linear programming problem and identity the parameters
The three images are the same question.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
I am unsure how to setup this problem as a linear programing problem on excel. The answer is on the spreadsheet, but I need the excel file that corresponds with it.LP Practice - Shipping - Road Hazards.pdf
Solve the linear programming problem with two-phase methodmaxz=2x +3x 122x +2x ≤12 12s.t.x +2x ≥14 12xx≥0
A furniture company manufactures desks and chairs. The sawing department cuts the lumber for both products, which is then sent to separate assembly departments.Assembled items are sent for finishing to the painting department. The daily capacity of the sawing department is 200 chairs or 80 desks. The chair assembly departmentcan produce 120 chairs daily and the desk assembly department 60 desks daily. The paint department has a daily capacity of either 150 chairs or 110 desks. Given thatthe profit per...
Linear Programming Question
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...
Consider the following linear programming problem. Maximize p = 5x + 7y subject to the constraints 3x + 8y ≤ 1 4x - 5y ≤ 4 2x + 7y ≤ 6 x ≥ 0, y ≥ 0 Write the initial simplex tableau.
%*I want to solve the problem without using the Linear Programming Problem method *There are social workers who are planning to plant some apple trees and orange trees on a land of 50 acres. *The land planted with apple trees requires 5 workers per acre and 5 tons of fertilizer per acre. It will yield a $500 profit per acre. *The land planted with orange trees requires 4 workers per acre and 7 tons of fertilizer per acre. It will...