Solve the following problem using the simplex method:

      

(a) Solve the following problem using the simplex method:
simplex1112019759.png
b) Verify your solution by solving graphically and relate tableaux to specific corner points.
c) Determine the shadow prices and interpret their meaning.

Answers


Raphael
simplex1112019759i.png
Stop the iteration here since the z function row has no more negative coefficients.
Solution. x2 = 16.65 meaning produce 16.65 units of x2.
s2 = 63.29 meaning amount of slack for resources 2.
x1 = 0 meaning do not produce x1.
s1 = 0 meaning resource 1 is used up.
simplex1112019759ii.png
The various corner points in relation to the tables are indicated on the graph.
I (0,0), II(7.5,0), III(8.63,2.27) and IV(0,16.65)
c) Shadow prices for the problem are
If one unit of resource 1 is added then the z function will increase by 19/11.That
means we can pay up to 19/11 to add resource 1.
If we produce any unit of x1 then profit will reduce by 2 units.
raphael answered the question on January 11, 2019 at 05:05


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