John wishes to choose a combination of two types of cereals for breakfast - Cereal A and Cereal B. A small box (one serving) of Cereal A costs $0.45 and contains 10 units of vitamins, 5 units of minerals, and 15 calories. A small box (one serving) of Cereal B costs $0.50 and contains 5 units of vitamins, 10 units of minerals, and 15 calories. John wants to buy enough boxes to have at least 525 vitamins, 650 minerals, and 1275 calories. How many boxes of each food should he buy to minimize cost, and what is the minimum cost?
John wishes to choose a combination of two types of cereals for breakfast - Cereal A and Cereal B. A small box (one serving) of Cereal A costs $0.45 and contains 10 units of vitamins, 5 units of minerals, and 15 calories. A small box (one serving) of Cereal B costs $0.50 and contains 5 units of vitamins, 10 units of minerals, and 15 calories. John wants to buy enough boxes to have at least 525 vitamins, 650 minerals, and 1275 calories. How many boxes of each food should he buy to minimize cost, and what is the minimum cost?
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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Transcribed Image Text:John wishes to choose a combination of
two types of cereals for breakfast - Cereal
A and Cereal B. A small box (one serving)
of Cereal A costs $0.45 and contains 10
units of vitamins, 5 units of minerals, and
15 calories. A small box (one serving) of
Cereal B costs $0.50 and contains 5 units
of vitamins, 10 units of minerals, and 15
calories. John wants to buy enough boxes
to have at least 525 vitamins, 650 minerals,
and 1275 calories. How many boxes of
each food should he buy to minimize cost,
and what is the minimum cost?
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