Please kindly read Only solution with matlab algorithm is a

Please kindly read ! Only solution with matlab algorithm is appreciated. That mean, DON\'T ANSWER IF YOU DON\'T HAVE MATLAB CODE.

Thank you in advance !!!

1) Find the values of x_i so that Z is optimum

2) If we want to increase one unit in constraint (i), i = 1, 2 3. How much would it change in Z? In other words, which constraint should we increase for Z to increase (faster) most?

Please kindly read ! Only solution with matlab algorithm is appreciated. That mean, DON\'T ANSWER IF YOU DON\'T HAVE MATLAB CODE. Thank you in advance !!! 1) Find the values of x_i so that Z is optimum 2) If we want to increase one unit in constraint (i), i = 1, 2 3. How much would it change in Z? In other words, which constraint should we increase for Z to increase (faster) most? MaximizeZ=5x1+4.5x2+6x3 Subject to the constraint

Solution

This system has a unique solution, which is

{ x₁ = 8, x₂ = 4, x₃ = -1 }.

AT (8,4,-1) z = 40+18-6 =52

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Next is x1=0 x2 = 5.44, x3 = 3.29

Z = 24.48+26.32 = 50.80

Hence optimal mix is

AT (8,4,-1) z = 40+18-6 =52

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2) we should increase x3 for z to become faster as slope of z with respect to x3 =6 is the maximum