Maximize Z= 3×1 + 5×2 Subject to: 3×1+2×2 <=18 x1

Maximize Z= 3×1 + 5×2

Subject to:

3×1+2×2 <=18

x1 <=4

2×2 <=12

x1>=0 and x2>=0

a) Identify the decision variables

b) Interpret the final solution

c) Suppose the price of x2 is increased by $2 per unit.  Is the current solution still optimal?  What is the value of the objective function when this unit price is increased by $2.

d) How much can the unit price of x1 be decreased without concern for the optimal solution changing?

e) If the right-hand side of constraint 1 is increased by 1, what will be the effect on the objective value?