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 cach 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:

Essentials of Business Analytics (MindTap Course List)
2nd Edition
ISBN:9781305627734
Author:Jeffrey D. Camm, James J. Cochran, Michael J. Fry, Jeffrey W. Ohlmann, David R. Anderson
Publisher:Jeffrey D. Camm, James J. Cochran, Michael J. Fry, Jeffrey W. Ohlmann, David R. Anderson
Chapter11: Linear Optimization Models
Section: Chapter Questions
Problem 1P: Kelson Sporting Equipment, Inc., makes two types of baseball gloves: a regular model and a catchers...
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1 •Identify the feasible solution space.
2 •At which point will profit be maximized?

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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
$50
10 hours
1 hour
3 cubic feet
Amount of time available
100 hours
22 hours
39 cubic feet
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 $50 10 hours 1 hour 3 cubic feet Amount of time available 100 hours 22 hours 39 cubic feet
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