each Distributors packages and distributes industrial supplies. A standard shipment can be packaged in a class A container, a class K container, or a class T container. A single class A container yields a profit of $10; a class K container, a profit of $8; and a class T container, a profit of $12. Each shipment prepared requires a certain amount of packing material and a certain amount of time. Formulate and solve this problem using LP software. 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 120 pounds 210 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 210 hours (6 workers × 35 hours) each week. The optimal solution obtained by solving using LP software: Number of class A containers to be used =enter your response here (round your response to two decimal places).

Practical Management Science

6th Edition

ISBN:9781337406659

Author:WINSTON, Wayne L.

Publisher:WINSTON, Wayne L.

Chapter4: Linear Programming Models

Section: Chapter Questions

Problem 107P

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Question

each Distributors packages and distributes industrial supplies. A standard shipment can be packaged in a class A container, a class K container, or a class T container. A single class A container yields a profit of

$10;

a class K container, a profit of

$8;

and a class T container, a profit of

$12.

Each shipment prepared requires a certain amount of packing material and a certain amount of time.

Formulate and solve this problem using LP software.

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	120	pounds	210	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

full-time packers employed all

210

hours

workers

hours) each week.

The optimal solution obtained by solving using LP software:

Number of class A containers to be used

=enter your response here

(round your response to two decimal places).

Expert Solution