Question

Question 11:

Let’s assume the following LP model. Provide the optimal values of the decision variables (X1 and X2) and the optimal value of the objective function. Show your work as much as you can or send a picture of your work if you want to get partial points when your final answers are not correct.

Objective Function: Min X1 + 2X2

Operational Constraints: X1>=30; X2>=15

Non-negativity constraint: X1, X2 > 0

Question 12:

Let’s assume the following LP model. Provide the optimal values of the decision variables (X1 and X2) and the optimal value of the objective function. Show your work as much as you can or send a picture of your work if you want to get partial points when your final answers are not correct.

Objective Function: Max X1 + 3X2

Operational Constraints: x1 + x2<=30; X2<=25

Non-negativity constraints: X1, X2 >=0

this is very urgent, the test timer is below 20 minutes

Answer 1

11. Using excel ,we find the optimal solution as shown below :

X1=30, X2=15 and Z=60

In excel :

B7=B3

B8=C3

E5=B3+2*C3

12.Using the solver,we get

X1=5,X2=25 and Z=80