18. A manufacturer who is a monopolist makes two types of lamps. From experience the manufacturer has determined that if x lamps of the first type and y lamps of the second type are made, they can be sold at for (100 – 2x ) dollars each and (125 - 3y) dollars each respectively. The cost of manufacturing x lamps of the first type and y lamps of the second type is (12 x +11 y +4xy ) dollars. How many lamps of each type should be produced in order to realize the greatest profit, and what is the greatest profit?
18. A manufacturer who is a monopolist makes two types of lamps. From experience the manufacturer has determined that if x lamps of the first type and y lamps of the second type are made, they can be sold at for (100 – 2x ) dollars each and (125 - 3y) dollars each respectively. The cost of manufacturing x lamps of the first type and y lamps of the second type is (12 x +11 y +4xy ) dollars. How many lamps of each type should be produced in order to realize the greatest profit, and what is the greatest profit?
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter2: Systems Of Linear Equations
Section2.4: Applications
Problem 28EQ
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