An appliance store sells three brands of TV sets, brands A, B, and C. The profit per set is $40 for brand A, $70 for brand B, and $80 for brand C. The total warehouse space allotted to all brands is sufficient for 800 sets, and the inventory is delivered only once per month. At least 125 customers per month will demand brand A, at least 50 will demand brand B, and at least 275 will demand either brand B or brand C. How can the appliance store satisfy all of these constraints and earn maximum profit? The appliance store will maximize its profits by selling brand A televisions, brand B televisions, and brand C televisions.

College Algebra
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ISBN:9781938168383
Author:Jay Abramson
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Chapter7: Systems Of Equations And Inequalities
Section7.2: Systems Of Linear Equations: Three Variables
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An appliance store sells three brands of TV sets, brands A, B, and C. The profit per set is $40 for brand A, $70 for brand B, and $80 for brand C. The total warehouse space allotted to all brands is sufficient for 800
sets, and the inventory is delivered only once per month. At least 125 customers per month will demand brand A, at least 50 will demand brand B, and at least 275 will demand either brand B or brand C. How can the
appliance store satisfy all of these constraints and earn maximum profit?
The appliance store will maximize its profits by selling
brand A televisions,
brand B televisions, and
brand C televisions.
Transcribed Image Text:An appliance store sells three brands of TV sets, brands A, B, and C. The profit per set is $40 for brand A, $70 for brand B, and $80 for brand C. The total warehouse space allotted to all brands is sufficient for 800 sets, and the inventory is delivered only once per month. At least 125 customers per month will demand brand A, at least 50 will demand brand B, and at least 275 will demand either brand B or brand C. How can the appliance store satisfy all of these constraints and earn maximum profit? The appliance store will maximize its profits by selling brand A televisions, brand B televisions, and brand C televisions.
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