1. A breeder wants to mix two brands of pet food. Brand A contains 10 g of protein and Brand B contains 6 g of protein per serving. The breeder wants to be sure that the mix contains at least 42 g of protein. Write an inequality the describes what the breeder wants to achieve in terms of protein and sketch the region of possible solutions to the inequality.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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1. A breeder wants to mix two brands of pet food. Brand A contains 10 g of
protein and Brand B contains 6 g of protein per serving. The breeder wants to
be sure that the mix contains at least 42 g of protein. Write an inequality the
describes what the breeder wants to achieve in terms of protein and sketch the
region of possible solutions to the inequality.
Transcribed Image Text:1. A breeder wants to mix two brands of pet food. Brand A contains 10 g of protein and Brand B contains 6 g of protein per serving. The breeder wants to be sure that the mix contains at least 42 g of protein. Write an inequality the describes what the breeder wants to achieve in terms of protein and sketch the region of possible solutions to the inequality.
2. A real estate venture offers an average annual return of 12% and a business
opportunity offers an average annual return of 15%, but comes with a higher
risk. An investor wants to invest at least $100,000 in real estate but less than
$150,000 in the business. Is it possible for the investor to make more than
$30,000 total profit from these two investments in a year? Illustrate your answer
graphically. If the answer is yes, sketch the solution set.
Transcribed Image Text:2. A real estate venture offers an average annual return of 12% and a business opportunity offers an average annual return of 15%, but comes with a higher risk. An investor wants to invest at least $100,000 in real estate but less than $150,000 in the business. Is it possible for the investor to make more than $30,000 total profit from these two investments in a year? Illustrate your answer graphically. If the answer is yes, sketch the solution set.
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