A confectioner sells two types of nut mixtures. The standard-mixture package contains 100 g of cashews and 200 g of peanuts and sells for $1.85. The deluxe-mixture package contains 150 g of cashews and 50 g of peanuts and sells for $2.35. The confectioner has 15 kg of cashews and 20 kg of peanuts available. On the basis of past sales, the confectioner needs to have at least as many standard as deluxe packages available. How many bags of each mixture should she package to maximize her revenue?

A confectioner sells two types of nut mixtures. The standard-mixture package contains 100 g of cashews and 200 g of peanuts and sells for $1.85. The deluxe-mixture package contains 150 g of cashews and 50 g of peanuts and sells for $2.35. The confectioner has 15 kg of cashews and 20 kg of peanuts available. On the basis of past sales, the confectioner needs to have at least as many standard as deluxe packages available. How many bags of each mixture should she package to maximize her revenue?

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Question

A confectioner sells two types of nut mixtures. The standard-mixture package contains 100 g of
cashews and 200 g of peanuts and sells for $1.85. The deluxe-mixture package contains 150 g
of cashews and 50 g of peanuts and sells for $2.35.
The confectioner has 15 kg of cashews and 20 kg of peanuts available. On the basis of past
sales, the confectioner needs to have at least as many standard as deluxe packages available.
How many bags of each mixture should she package to maximize her revenue?

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