HOME WORK2 (5POINTS)
production mix problem
Qustion1:
Alumco manufactures aluminum sheets and aluminum bars. The maximum
production capacity is estimated at either 800 sheets or 600 bars per day. The
maximum daily demand is 550 sheets and 580 bars. The profit per ton is 40$ per
sheet and 35$ per bar. Determine the op/mal daily produc/on mixture by graphical
method, and use excel to verify the answer.
=
=
ℎ
Linear Programming Model is:
Max.
= 40
S.t.
+
!
"
+ 35
≤1
≤ 550
≤ 580
Non-neg.
.
……………(1)
…………….(2)
…………….(3)
≥0
Qustion2:
A. Solve the following LP problem using graphical method:
( . ) = 20
. .
3
+.
+ 10
+ 2
≥ 40
+
≥ 30
≥0 .
≥0
B. If we changed the objective function to ( . ) = 10
be same? Explain your answer and support it by excel.
+ 20
Is the optimal solution will