An appliance store sells three brands of TV sets, brands A, B, and C. The profit per set is $30 for brand A, $60 for brand B, and $70 for brand C. The total warehouse space allotted to all brands is sufficient for 700 sets, and the inventory is delivered only once per month. At least 150 customers per month will demand brand A, at least 50 will demand brand B, and at least 175 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.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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An appliance store sells three brands of TV sets, brands A, B, and C. The profit per set is $30 for brand A, $60 for brand B, and $70 for brand C. The total
warehouse space allotted to all brands is sufficient for 700 sets, and the inventory is delivered only once per month. At least 150 customers per month will
demand brand A, at least 50 will demand brand B, and at least 175 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 $30 for brand A, $60 for brand B, and $70 for brand C. The total warehouse space allotted to all brands is sufficient for 700 sets, and the inventory is delivered only once per month. At least 150 customers per month will demand brand A, at least 50 will demand brand B, and at least 175 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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