max: z= 40x1 + 24x2

ST:

Mach. 2x1 + 3x2

Assemb. 4x1 + 1x2

x1, x2 >0

a) Find the range of the objective function coefficient (c1=40 and c2=24) so that you will have the same variables in the solution.

b) Do you think the shadow prices will change? Do you think the values of variables in the solution will change?

c) What are the extreme points?

d) What would be the range of the slope for the solution (iso-profit line) to be (0,40)?

e) What would be the range of the slope for the solution to be (12,13)?

f) And finally what would be the range of the slope of the solution to be (20,0)?

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