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 (12x+11y+4xy) dollars. How many lamps of each type should be produced in order to realize the greatest profit, and what is the greatest profit?
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 (12x+11y+4xy) dollars. How many lamps of each type should be produced in order to realize the greatest profit, and what is the greatest profit?
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter9: Systems Of Equations And Inequalities
Section: Chapter Questions
Problem 8T
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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 (12x+11y+4xy) dollars. How many lamps of each type should be produced in order to realize the greatest profit, and what is the greatest profit?
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