Consider the following mixed-integer linear program:Max 1x₁ + 1x₂s.t.7x₁ + 9x₂ ≤ 63=9x15x₂453x₁ + 1x₂ ≤ 12X1, X20 and x2 integera.Graph the constraints for this problem. Indicate on your graph all feasible mixed-integer solutions.b.Find the optimal solution to the LP Relaxation. Round the value of x2 down to find afeasible mixed-integer solution. Specify upper and lower bounds on the value of theoptimal solution to the mixed-integer linear program.C. Find the optimal solution to the mixed-integer linear program.

Answered: Image /qna-images/answer/0c28b0ec-2ae6-4a48-9402-f38673315fc2.jpg

Answered: Consider the following mixed-integer…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Consider the following linear program: maximize subject to Show Transcribed Text 3x1 + x2 + 4x3 1+3x2 + x3 ≤ 5 1 + 2x2 + 2x3 ≤7 21, 22, 23 20 (a). What is the corresponding dual problem? (b). Solve the dual problem graphically. (c). Use complementarity conditions for the primal-dual pair to solve the primal problem. If solving problems need MATLAB or Python, plz show me the Code that would help me a lot!!
Solve the following linear program using the general formulas z = -2x1-x2 x1 + x₂ ≤ 5 2x1 + 3x2 ≤ 12 -21 ≤4 x1, x₂ 20 minimize subject to
Consider the following all-integer linear program. Max 1x1 + 1x2 s.t. 4x1 + 6x2 ≤ 38 1x1 + 7x2 ≤ 21 2x1 + 1x2 ≤ 17 x1, x2 ≥ 0 and integer (b) Solve the LP Relaxation of this problem. at (x1, x2) = (c). Find the optimal integer solution. at (x1, x2) =
Can you answer this in pencil and paper?
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Solve the following Linear Programming Problem using the two-phase method, showing all the interactions:
A local coffee shop in its busy period gets about 10 customers per minute. A typical serverworking at the counter can help customers at a rate of 2 per minute. 4(a). What is the minimum number of servers the shop needs to have to make this astable system, i.e. rho < 1? 4(b). We will assume that the server’s rate of service stays constant. However, therate at which customers come in might fluctuate. Consider customer arrival rates rangingfrom 8 per minute to 12 per minute. Conduct a sensitivity analysis on the number ofservers the shop should have during its busy period. Range the number of servers fromyour answer in 4(a) up to 5 more (that is, if you said x in (a), let c = x, x+1,…,x+5) Create simultaneous line plots similar to what was done in the M/M/c practice for thevalues of R0. Plot the c values on the x-axis and create a separate line plot for each value oflambda(customer arrival rate). Give the appropriate titles and labels and include a legend. Make sure each graph is clear…
c) A student wishes to allocate her available study time of 60 hours per week between two subjects in such a way as to maximize her grade average. She formulates two functions governing the grades of each module which can be taken as: 9₁ (t₁) = 20 + 20√₁, with t₁ > 0 and 9₂ (t₂) = -80 + 3t2, with t₂ > 80/3 maximize the grade average subject to the time constraint t₁ + t₂ = 60. You do not need to show that you have obtained a maximum.

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