Access over 20 million homework & study documents

Lp

Content type
User Generated
Rating
Showing Page:
1/4
a. What are the optimal solution
DRB
DRW
variable
1000
800
PROFIT
200
280
Available
constraint 1
20
25
<=
40000
40000
constraint 2
40
100
<=
120000
120000
constraint 3
20
40
<=
52000
96000
Total Profit
424000
The optimal solution:
DRB is 1000
DRW is 800
The total profit is $424,000
b.
The shadow price for assembly time constraint indicates that the value of the optimal
solution will improve at a rate of $0.6 per hour
c.
The shadow price for the manufacturing time constraint will simply add to the mount of
slack for constraint and will not change the value of optimal solution.
d.
DRB
DRW
variable
1000
800
PROFIT
175
280
Available
constraint 1
20
25
<=
40000
40000
constraint 2
40
100
<=
120000
120000

Sign up to view the full document!

lock_open Sign Up
Showing Page:
2/4
constraint 3
20
40
<=
52000
96000
Total Profit
399000
Thus with the revised objective function coefficient and the same optimal solution, the
total profit contribution becomes $399000.
e. The shadow price for assembly time constraint indicates that the value of the optimal
solution will improve at the rate of $8.8 per pound.
Question 27
a.
Total demand = 200,000 regular shafts +75000 stiff shafts = 275000
Let San Diego produce “a” regular shafts, “b” stiff shafts. Let Tampa produce “c” regular
shaft, “d” stiff shafts.
Cost = 5.25a + 5.45b+4.95c+5.70d
This is our objective function and has to be minimized. Constraints are:
i. a+b+c+d = 275000 (production = demand)
ii. a+c = 200000(demand for regular shafts = production for regular shafts)
iii. b+d = 75000 (production of stiff shafts = demand for stiff shafts)
iv. a+b <= 120000 (capacity of San Diego )
v. c+d <= 180000 (capacity of Tampa)
vi. a, b, c, d >= 0
b.
b
c
d
Variable
0
80000
75000
Cost
5.45
4.95
5.7

Sign up to view the full document!

lock_open Sign Up
Showing Page:
3/4

Sign up to view the full document!

lock_open Sign Up
End of Preview - Want to read all 4 pages?
Access Now
Unformatted Attachment Preview
a. What are the optimal solution DRB DRW 1000 800 200 280 variable PROFIT constraint 1 constraint 2 constraint 3 20 40 20 Total Profit 424000 25 ...
Purchase document to see full attachment
User generated content is uploaded by users for the purposes of learning and should be used following Studypool's honor code & terms of service.

Anonymous
Just what I needed. Studypool is a lifesaver!

Studypool
4.7
Trustpilot
4.5
Sitejabber
4.4