A firm that assembles refrigerators and stoves is about to start production of new models of each. Each model will require assembly time, inspection time, and storage space. The amounts of each of these resources that can be devoted to the production of the items is limited. The manager of the firm would like to determine the quantity of each item to produce in order to maximize the profit generated by sales. He has the following data at his disposal: Profit per unit Assembly time per unit Inspection time per unit Storage space per unit Refridgerators Resource Assembly time Inspection time Storage space $60 4 hours 2 hours 3 cubic feet Other information Stoves $50 10 hours 1 hour 3 cubic feet Amount of time available 100 hours 22 hours 39 cubic feet

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter6: Linear Systems
Section6.8: Linear Programming
Problem 5SC: If during the following year it is predicted that each comedy skit will generate 30 thousand and...
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A firm that assembles refrigerators and stoves is about to start production of new
models of each. Each model will require assembly time, inspection time, and
storage space. The amounts of each of these resources that can be devoted to the
production of the items is limited. The manager of the firm would like to determine
the quantity of each item to produce in order to maximize the profit generated by
sales. He has the following data at his disposal:
Profit per unit
Assembly time per unit
Inspection time per unit
Storage space per unit
Refridgerators
Resource
Assembly time
Inspection time
Storage space
$60
4 hours
2 hours
3 cubic feet
Other information
Stoves
100 hours
22 hours
39 cubic feet
$50
10 hours
1 hour
3 cubic feet
Amount of time available
Transcribed Image Text:Question A firm that assembles refrigerators and stoves is about to start production of new models of each. Each model will require assembly time, inspection time, and storage space. The amounts of each of these resources that can be devoted to the production of the items is limited. The manager of the firm would like to determine the quantity of each item to produce in order to maximize the profit generated by sales. He has the following data at his disposal: Profit per unit Assembly time per unit Inspection time per unit Storage space per unit Refridgerators Resource Assembly time Inspection time Storage space $60 4 hours 2 hours 3 cubic feet Other information Stoves 100 hours 22 hours 39 cubic feet $50 10 hours 1 hour 3 cubic feet Amount of time available
Questions -
Identify the feasible solution space.
•At which point will profit be maximized?
Transcribed Image Text:Questions - Identify the feasible solution space. •At which point will profit be maximized?
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