Question: Consider the all-integer linear optimization problem below: Max 5X 1 +8X 2 Subject to (s.t) 6X 1 +5X 2

Consider the all-integer linear optimization problem below:

Max 5X1+8X2

Subject to (s.t)

6X1+5X2<=30 Constraint1

9X1+4X2<=36 Constraint 2

1X1+2X2<=10 Constraint3

X1,X2>=0 and integer

(a) What is the optimal value of the decision variable X1? Enter just the numeric value

(b) What is the optimal value of the decision variable X2? Enter just the numeric value

(c) Find the optimal solution to the optimization problem.

(d) What are the values of the slack variables in constraint 1 ?

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