A bath shop sells two different gift baskets. The Pamper Me basket contains 1 bottle of shower gel, 4 bottles of bubble bath, and 5 candles and makes a profit of $12. The Best Friends basket contains 2 bottles of shower gel and 4 bottles of bubble bath and makes a profit of $13. Each week, the shop has 300 bottles of shower gel, 800 bottles of bubble bath, and 750 candles available. How many of each type of basket should the shop prepare each week to maximize profits?

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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A bath shop sells two different gift baskets. The Pamper Me basket contains 1 bottle of shower gel, 4 bottles of bubble bath, and 5
candles and makes a profit of $12. The Best Friends basket contains 2 bottles of shower gel and 4 bottles of bubble bath and makes a
profit of $13. Each week, the shop has 300 bottles of shower gel, 800 bottles of bubble bath, and 750 candles available. How many of
each type of basket should the shop prepare each week to maximize profits?
Transcribed Image Text:A bath shop sells two different gift baskets. The Pamper Me basket contains 1 bottle of shower gel, 4 bottles of bubble bath, and 5 candles and makes a profit of $12. The Best Friends basket contains 2 bottles of shower gel and 4 bottles of bubble bath and makes a profit of $13. Each week, the shop has 300 bottles of shower gel, 800 bottles of bubble bath, and 750 candles available. How many of each type of basket should the shop prepare each week to maximize profits?
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