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
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
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter2: Equations And Inequalities
Section2.2: Applied Problems
Problem 22E
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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.
1. Identify the feasible solution space.
2. At which point will profit be maximized?
Transcribed Image Text:Profit per unit
Assembly time per unit
Inspection time per unit
Storage space per unit
Refridgerators
$60
4 hours
2 hours
3 cubic feet
Stoves
$50
10 hours
1 hour
3 cubic feet
Transcribed Image Text:Resource
Assembly time
Inspection time
Storage space
Amount of time available
100 hours
22 hours
39 cubic feet
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