Leach Distributors packages and distributes industrial supplies. A standard shipment can be packaged in a class Acontainer, a class K container, or a class T container. A single class A container yields a profit of $9; a class K container, a profit of $7; and a class T container, a profit of $15. Each shipment prepared requires a certain amount of packing material and a certain amount of time. Formulate and solve this problem using LP software. Decision variables: X1=number of class A containers to be used X2=number of class K containers to be used X3=number of class T containers to be used Resources Needed per Standard Shipment Class of Container Packing Material(pounds) Packing Time(hours) A 2 2 K 1 6 T 3 4 Total amount of resource available per week 150 pounds 270 hours Hugh Leach, head of the firm, must decide the optimal number of each class of container to pack each week. He is bound by the previously mentioned resource restrictions but also decides that he must keep his 6 full-time packers employed all 270 hours (6 workers × 45 hours) each week.
Leach Distributors packages and distributes industrial supplies. A standard shipment can be packaged in a class Acontainer, a class K container, or a class T container. A single class A container yields a profit of $9; a class K container, a profit of $7; and a class T container, a profit of $15. Each shipment prepared requires a certain amount of packing material and a certain amount of time. Formulate and solve this problem using LP software. Decision variables: X1=number of class A containers to be used X2=number of class K containers to be used X3=number of class T containers to be used Resources Needed per Standard Shipment Class of Container Packing Material(pounds) Packing Time(hours) A 2 2 K 1 6 T 3 4 Total amount of resource available per week 150 pounds 270 hours Hugh Leach, head of the firm, must decide the optimal number of each class of container to pack each week. He is bound by the previously mentioned resource restrictions but also decides that he must keep his 6 full-time packers employed all 270 hours (6 workers × 45 hours) each week.
Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter4: Linear Programming Models
Section: Chapter Questions
Problem 107P
Related questions
Question
Leach Distributors packages and distributes industrial supplies. A standard shipment can be packaged in a class Acontainer, a class K container, or a class T container. A single class A container yields a profit of
$9;
a class K container, a profit of
$7;
and a class T container, a profit of
$15.
Each shipment prepared requires a certain amount of packing material and a certain amount of time. Formulate and solve this problem using LP software.
Decision variables:
X1=number
of class A containers to be usedX2=number
of class K containers to be usedX3=number
of class T containers to be usedResources Needed per Standard Shipment
|
Class of Container
|
Packing Material(pounds)
|
Packing Time(hours)
|
||
|
A
|
2
|
|
2
|
|
|
K
|
1
|
|
6
|
|
|
T
|
3
|
|
4
|
|
|
Total amount of resource available per week
|
150
|
pounds
|
270
|
hours
|
Hugh Leach, head of the firm, must decide the optimal number of each class of container to pack each week. He is bound by the previously mentioned resource restrictions but also decides that he must keep his
6
full-time packers employed all
270
hours
(6
workers
×
45
hours) each week.Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution!
Trending now
This is a popular solution!
Step by step
Solved in 4 steps with 2 images
Recommended textbooks for you
Practical Management Science
Operations Management
ISBN:
9781337406659
Author:
WINSTON, Wayne L.
Publisher:
Cengage,
Practical Management Science
Operations Management
ISBN:
9781337406659
Author:
WINSTON, Wayne L.
Publisher:
Cengage,